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https://pressbooks.bccampus.ca/businessmathematics/chapter/linear-functions/ | business_math | Graph of positive linear function with x-axis labeled NUMBER OF POSTERS and y-axis labeled COST ($). The line has points \((400,124)\) and \((2000, 300)\). | To make a graph showing this function you should take as a horizontal axis the independent variable x (number of posters), and as a vertical axis the dependent variable C (cost). Both axes must be scaled so as to allow for the largest value of each variable (2,000 for x , $300 for C). Plotting the points from the table... | Graph of Cost (C) of Posters (x) | |
https://pressbooks.bccampus.ca/businessmathematics/chapter/linear-functions/ | business_math | Right triangle with horizontal width labeled RUN (change in x) and vertical height labeled RISE (change in y). | The key fact about linear functions is this uniform rate of change, which is called the slope of the line. If you revert to the generally used and for independent and dependent variables. Then, \(slope = \frac{rise}{run} = \frac{change in y}{change in x}\). | Rise over Run | |
https://pressbooks.bccampus.ca/businessmathematics/chapter/linear-functions/ | business_math | Graph of linear function \((y=2x+3\) with y-intercept of 3 and slope of 2. From \((0,3)\), go right 1 unit and then up 2 units. This forms a right triangle with the line as the hypotenuse. From \((0,3)\), go right 4 units and then up 8 units. This forms another right triangle with the line as the hypotenuse. | As an example, suppose you have the following linear function: \(y = 3 + 2x\). Then the slope will have the value \(+2\). Make a table of a few values and graph the function. Just substitute selected values of \(x\) to get values of \(y\). For example, if \(x = -2\): \(y = 3 + 2(-2) = 3 - 4 = -1\). When \(x\) changes b... | Graph of \(y = 2x+3\). | |
https://pressbooks.bccampus.ca/businessmathematics/chapter/linear-functions/ | business_math | Graph of quadrant I of coordinate plane with x-axis and T-axis. | Plot the points from your table on the graph and join them to form a line. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Rectangular prism with length 13 in, width 6 in, and height 3 in. | Find the volume of the figure below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | 3D shape with the two faces have an area of \(56.9 cm^2\). The height between the two faces is 2.5 cm. | Find the volume of the figure below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Rectangular prism with length 7.3 cm, width 4.2 cm, and height 23.1 cm. | Find the volume of the figure below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Cube with sides 5 m. | Find the volume of the figure below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Cylinder with height 3.2 m and radius 8.7 m. | Find the volume of the figure below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Cylinder with height 10 cm and diameter 30 cm. | Find the volume of the figure below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Cone with height 3 km and diameter 2 km. | Find the volume of the figure below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Pyramid with height 5 yd and with the face length 3 yd and width 3 yd. | Find the volume of the figure to the right. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Cylinder with height 3 in and diameter 4 in. | Find the volume of the figure to the right. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Sphere with radius 8 in. | Find the volume of the figure to the right. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Pyramid with height 20 m and face length 15 m and face width 12 m. | Find the volume of the figure to the right. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Cylinder with height 11 mi and diameter 40 mi. | Find the volume of the figure to the right. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Sphere with diameter 12 cm. | Find the volume of the figure to the right. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Rectangular prism with length 13 in, width 6 in, and height 3 in. | Find the volume of the figure to the right. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Cylinder with height 11 mi and diameter 40 mi. | Find the volume of the figure to the right. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Sphere with diameter 12 cm. | Find the volume of the figure to the right. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-6-practice-problems/ | college_math | Prism with two right-triangle faces and three rectangular edges. The triangle hypotenuse measures 5 cm, leg 1 measures 4 cm, and leg 2 measures 3 cm. The height between the two triangles is 8 cm. | You are producing 500 of these metal wedges, and you must electroplate them with a thin layer of high-conducting silver (surface area). The measurements shown are in centimeters. Find the total cost for silver, if silver plating costs $1.21 for every square centimeter. Assume each non-triangular edge is a rectangle. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | A solid figure with a single circular base and a round, smooth face that diminishes to a single point. Cone with height \(h\) and radius \(r\). | A solid figure with a single circular base and a round, smooth face that diminishes to a single point. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | A solid, round figure where every point on the surface is the same distance from the center. Sphere with radius \(r\). | A solid, round figure where every point on the surface is the same distance from the center. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | Pyramid with height of 8 in. and the rectangular base has length 3 in. and width 4 in. | Identify the shape. It has a rectangular base and rises to a point, so it is a pyramid. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | Cylinder with height of 1 ft and radius of 7 ft. | Find the volume of the shape shown below. Write your answer in exact form and approximate form, rounded to the nearest hundredth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | A six-sided polyhedron that has congruent squares as faces. Cube with all sides labeled \(a\). | Cube. A six-sided polyhedron that has congruent squares as faces. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | A polyhedron that has three pairs of congruent, rectangular, parallel faces. Rectangular prism with width \(w\), length \(l\), and height \(h\). | A polyhedron that has three pairs of congruent, rectangular, parallel faces. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | A solid figure with a pair of circular, parallel bases and a round, smooth face between them. Cylinder with radius \(r\) and height \(h\). | A solid figure with a pair of circular, parallel bases and a round, smooth face between them. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | A solid figure with a single circular base and a round, smooth face that diminishes to a single point. Cone with radius \(r\) and height \(h\). | A solid figure with a single circular base and a round, smooth face that diminishes to a single point. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | A solid, round figure where every point on the surface is the same distance from the center. Sphere (ball) with radius \(r\). | A solid, round figure where every point on the surface is the same distance from the center. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | Cylinder with height of 1 ft and radius of 7 ft. | Find the volume of the shape shown below. Write your answer in exact form and approximate form, rounded to the nearest hundredth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | Rectangular prism with length of 40 cm, width of 60 cm, and height of 85 mm. | What is the minimum number of square centimeters of wrapping paper needed to wrap a rectangular box that is 40 cm wide, 60 cm long, and 85 mm high? | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-6-working-in-three-dimensions-volume-and-surface-area/ | college_math | Rectangular prism with length of 40 cm, width of 60 cm, and height of 8.5 cm. | What is the minimum number of square centimeters of wrapping paper needed to wrap a rectangular box that is 40 cm wide, 60 cm long, and 85 mm high? Convert the height to centimeters. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-geometry-basics-perimeter/ | college_math | Three images: a circle labeled Point, a straight line with arrows at the ends labeled Line, and a straight line with circles at the ends labeled Line Segment. | A point is simply a location, which has no dimensions! While a point is a simple idea in geometry, it is a building block for more difficult geometric figures. Considering more than one point helps to build dimension in geometry. By considering any two distinct points, we now can form a line connecting the two points. ... | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-geometry-basics-perimeter/ | college_math | Shape with 6 sides and their measurements. Starting at the top and going clockwise, the sides have the following measurements: 5, 3, 6, 2, 3, and 3. | Find the perimeter of the given figure. All measurements indicated are inches. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-geometry-basics-perimeter/ | college_math | Rectangle with length 8 cm and width 3 cm. | A rectangle has a length of 8 cm and a width of 3 cm. Find the perimeter. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-geometry-basics-perimeter/ | college_math | Triangle with sides measuring 6 miles, 6 miles, and 3 miles. | Find the perimeter of each of the figures shown below. Be sure to include correct units in your answers. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-geometry-basics-perimeter/ | college_math | A rectangle with a smaller rectangle cut from one of the corners to form a capital L. The length of the original rectangle is 10 yd and the width is 7 yd. The width of the remaining side where the smaller rectangle was cut out is 2 yd. The length of the leftover side where the smaller rectangle was cut out is 4 yd. | Find the perimeter of each of the figures shown below. Be sure to include correct units in your answers. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | Rectangle with length of 11 cm and width of 4 cm. | Find the perimeter of the rectangle shown below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | Triangle with sides measuring 9 cm, 10 cm, and 4 cm. | Find the perimeter of the triangle shown below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | Parallelogram with slant measuring 45, width measuring 54, and height measuring 43. | Find the perimeter of the parallelogram shown below | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | Trapezoid with short base measuring 12.4, leg 1 measuring 27.7, long base measuring 31, leg 2 measuring 25.6, and height measuring 24.8. | Find the perimeter of the trapezoid shown below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | Parallelogram with slant measuring 54, width measuring 52, and height measuring 50. | Parallelogram with slant measuring 45, length measuring 54, and height measuring 43. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | Trapezoid with short base measuring 14 cm, leg 1 measuring 5 cm, long base measuring 20 cm, leg 2 measuring 5 cm, and height measuring 4 cm. | Find the perimeter of the trapezoid below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | A rectangle with a smaller rectangle cut from one of the corners to form a capital L. The length of the original rectangle is 8 and the width is 12. The width of the remaining side where the smaller rectangle was cut out is 2. The length of the leftover side where the smaller rectangle was cut out is 3. | Find the perimeter of the figure pictured below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | A rectangle with a smaller rectangle cut from one of the corners to form a capital L. The length of the original rectangle is 8 ft and the width is 9 ft. The width of the remaining side where the smaller rectangle was cut out is 3 ft. The length of the leftover side where the smaller rectangle was cut out is 2 ft. | Find the perimeter of the figure pictured below | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | Rectangle with width of 17 and length unknown. | Find the length of the rectangle shown below, if the perimeter is 86. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | Trapezoid with short base unknown, leg 1 measuring 12.5, long base measuring 14, leg 2 measuring 11.5, and height measuring 11.2. | Find the missing length of the trapezoid shown below, if the perimeter is 43.6. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-1-practice-problems/ | college_math | Parallelogram with slant measuring 48, width unknown, and height measuring 45. | Find the width of the parallelogram shown below, if the perimeter is 188 | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-area/ | college_math | Rectangle with length a and width b. | |||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-area/ | college_math | Parallelogram with parallel sides labeled base. A dashed line labeled height connects the obtuse angle to a base, forming a right angle. A dashed line labeled height from the acute angle and a dashed line extended from the base connect at a right angle. The three dashed lines and one of the bases form a rectangle. | parallelogram | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-area/ | college_math | Triangle with the bottom labeled b. A dashed line labeled h connects the base and the opposite angle and forms a right angle. | triangle | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-area/ | college_math | Triangle on a side labeled b. A dashed line labeled h extends from the opposite angle of b and a dashed line extends from b to intersect outside of the triangle at a right angle. | triangle | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-area/ | college_math | Trapezoid with short base labeled Base 1, \(b_1\) and long base labeled Base 2, \(b_2\). Dashed lines connect the corners of Base 1 to Base 2, forming a right angle at Base 2. | trapezoid | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-area/ | college_math | Triangle with base of 10 in and height of 4 in. | A triangle has a height of 4 inches and a base of 10 inches. Find the area. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-area/ | college_math | Trapezoid with short base measuring 4 cm, long base measuring 7 cm, slant 1 measuring 2.2 cm, slant 2 measuring 2.8 cm, and height measuring 2 cm. | Find the area and perimeter of the trapezoid shown below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-area/ | college_math | Parallelogram with height measuring 44 cm and slant measuring 47 cm. | Find the perimeter and area of the parallelogram shown below.
Be sure to use correct units in your answers. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-practice-problems/ | college_math | Square with sides measuring 14 feet. | Find the perimeter and area of the square pictured below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-practice-problems/ | college_math | Rectangle with length measuring 28 inches and width measuring 13 inches. | Find the area of the rectangle pictured below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-practice-problems/ | college_math | Right triangle with base measuring 12 m and height measuring 4 m. | Find the area of the triangle pictured below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-practice-problems/ | college_math | Triangle with height measuring 7 in and base measuring 18 in. | Find the area of the triangle shown below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-practice-problems/ | college_math | Rectangle with length measuring 25 yd and width measuring 20 yd. | Find the area of the rectangle in sq. yards and sq. feet. Find the perimeter of the rectangle in yards and in feet. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-practice-problems/ | college_math | Rectangle with length measuring 25 cm and unknown width. | Find the width of the rectangle pictured below if the area is 275 \(cm^2\). | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-2-practice-problems/ | college_math | Triangle with base measuring 9 and unknown height. | Find the height of the triangle pictured below, if the area is 31.5. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Rectangle with length 860 feet and width 340 feet. A diagonal dashed line from corner to corner divides the rectangle into two triangles. | A cable is installed around two edges of the rectangular field that is 860 feet long and 340 feet wide, as shown below. Suppose the cable costs $2100 per foot to install. Round all answers to the nearest hundredth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Right triangle with base labeled Train B, 20 mph and height labeled Train A, 25 mph. An arrow along the base and an arrow along the height point away from he right angle. | Two trains leave the station at the same time. Train A travels south at a rate of 25 miles per hour south and train B travels east at a rate of 20 miles per hour. How far apart are the trains 6 hours after they leave the station? Round your answer to the nearest tenth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Right triangle with base measuring 341 feet and hypotenuse measuring 1970 feet. | A farmer is fencing off part of his property where he would like his cattle to graze. The known lengths of the sides of the area to be fenced are shown in the diagram below. Round all answers to the nearest hundredth.
a. Find the length of the fencing for the remaining side of the area being fenced off.
b. Find the are... | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Triangle with a right angle. The sides that create the right angle are labeled leg, and an and b. The side not creating the right angle is called hypotenuse, or c. | A long time ago, a Greek mathematician named Pythagoras discovered an interesting property about right triangles (triangles with a 90° angle). He discovered that the sum of the squares of the lengths of each of the triangle’s legs is the same as the square of the length of the triangle’s hypotenuse. This property—which... | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Triangle with obtuse angle. Sides have the values: \(s=3\), \(t=3\), and \(r\). | For which of these triangles is \((3)^2 + (3)^2 = r^2\)? Select all that apply. | Incorrect | |
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Triangle with right angle with sides \(s=3\), \(t=3\), and \(r\). | For which of these triangles is \((3)^2 + (3)^2 = r^2\)? Select all that apply. | Correct | |
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Triangle with acute angles with sides \(s=3\), \(t=3\), and \(r\). | For which of these triangles is \((3)^2 + (3)^2 = r^2\)? Select all that apply. | Incorrect | |
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Triangle with acute angles with sides \(s=3\), \(t=3\), and \(r\). | For which of these triangles is \((3)^2 + (3)^2 = r^2\)? Select all that apply. | Incorrect | |
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Right triangle with legs \(a=5\) and \(b=12\) and hypotenuse \(c\). | In the triangle above, you are given measures for legs a and b: 5 and 12, both in inches. Use the Pythagorean Theorem to find a value for the length of c, the hypotenuse. Then use your answer to find the perimeter of the triangle. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Right triangle with legs \(a\) and \(b=6\) and hypotenuse \(c=7\). | Find the length of side a in the triangle below, the perimeter of the triangle, and the area of the triangle. Assume all units are in centimeters. Write your answer in exact form and in approximate form, rounded to the nearest thousandth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Right triangle with leg \(b\) and height 62 feet. | Find the length of side b in the triangle below, and the perimeter of the triangle. Assume all units are in centimeters. Write your answer in exact form and in approximate form, rounded to the nearest thousandth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Right triangle with legs measuring \(a\) and 8 yards and height 17 yards. | A sailboat has a large sail in the shape of a right triangle. The longest edge of the sail measures 17 yards, and the bottom edge of the sail is 8 yards. How tall is the sail? | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Two triangles side by side. The first triangle has a side measuring 5, which corresponds to the second triangle side \(s\). The first triangle has side measuring 3, which corresponds to the second triangle side measuring 4.5. | Triangles are similar if they have the same shape, but not necessarily the same size. You can think of it as “zooming in” or out making the triangle bigger or smaller, but keeping its basic shape. Corresponding sides of similar triangles are proportional. Find the length of the missing sides. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | Two triangles side by side. The first triangle has a side measuring 3.4, which corresponds to the second triangle side measuring 10.2. The first triangle has side measuring 2.1, which corresponds to the second triangle side \(s\). | Triangles are similar if they have the same shape, but not necessarily the same size. You can think of it as “zooming in” or out making the triangle bigger or smaller, but keeping its basic shape. Corresponding sides of similar triangles are proportional. Find the length of the missing sides. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/wip-section-g-3-triangles-the-pythagorean-theorem-similarity/ | college_math | A smaller right triangle inside a larger right triangle, sharing an angle and parts of sides. The base of the smaller triangle is 60m and the height is 35m. The base of the larger triangle is 170m and height \(h\). | In the diagram below, a large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground, 60m away from the flagpole, that the top of the flagpole and the top of the building line up. If the flagpole is 35m tall, and Marquis is 170m from the building, how tall is the building? | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Right triangle with legs measuring 8 in and 8 in. | Find the length of the hypotenuse of the triangle pictured below. Write your answer in exact form and in approximate form, rounded to the nearest thousandth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Right triangle with legs \(a\) and 11 in, and hypotenuse 13 in. | Find the length of the hypotenuse of the triangle pictured below. Write your answer in exact form and in approximate form, rounded to the nearest thousandth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Right triangle with legs 5 cm and \(b\), and hypotenuse 12 cm. | Find the length of the leg b. Write your answer in exact form and in approximate form, rounded to the nearest thousandth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Two triangles side by side. The first triangle has a side measuring 10, which corresponds to the second triangle side measuring 6. The first triangle has side \(x\) which corresponds to the second triangle side measuring 7. | The given triangles are similar. Find \(x\). | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Two triangles side by side. The first triangle has a side measuring 4.1, which corresponds to the second triangle side \(x\). The first triangle has side measuring 3.9 which corresponds to the second triangle side measuring 4.2. | The given triangles are similar. Find \(x\). | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Two triangles side by side. The first triangle has a side measuring 6, which corresponds to the second triangle side measuring \(k\). The first triangle has side measuring 3.8 which corresponds to the second triangle side \(j\). The first triangle has side measuring 4, which corresponds to the second triangle side meas... | The given triangles are similar. Find \(j\) and \(k\). | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-3-practice-problems/ | college_math | Two triangles side by side. The first triangle has a side measuring 25, which corresponds to the second triangle side \(x\). The first triangle has side measuring 45, which corresponds to the second triangle side measuring 9. | The given triangles are similar. Find \(x\). | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-practice-problems/ | college_math | Circle with radius measuring 2 m. | Find the diameter of the circle shown below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-circles/ | college_math | Circle with point in the center. The straight line from the center to the circle is labeled radius. A straight line that connects two points on a circle through the center is labeled diameter. | A circle represents a set of points, all of which are the same distance away from a fixed, middle point. This fixed point is called the center. The distance from the center of the circle to any point on the circle is called the radius. When two radii (the plural of radius) are put together to form a line segment across... | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-circles/ | college_math | Circle with radius 7 in. | Find the diameter of the circle. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-circles/ | college_math | Circle with diameter = 36 ft. | Find the radius of the circle. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-circles/ | college_math | Circle with diameter = 9 in. | Find the circumference. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-circles/ | college_math | Circle with radius 3 feet. | Find the area of the circle. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-practice-problems/ | college_math | Circle with diameter = 21 in. | Find the radius of the circle shown below. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-practice-problems/ | college_math | Circle with radius 8 cm. | Find the circumference and area of the circle shown below. Round your answers to the nearest hundredth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-practice-problems/ | college_math | Circle with diameter = 8 in. | Find the circumference and area of the circle pictured below. Round your answers to the nearest hundredth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-practice-problems/ | college_math | Circle with radius 25 in. | Find the area of the circle shown below. Write your answer in exact form and in approximate form, rounded to the nearest tenth. | ||
https://open.maricopa.edu/collegemathematicstextbookmat14x2ndedition/chapter/section-g-4-practice-problems/ | college_math | Circle with diameter = 26 ft. | Find the circumference and area of the circle shown below. Write your answers in exact form and in approximate form, rounded to the nearest tenth. | ||
https://sheffield.pressbooks.pub/introducingmathematicalbiology/chapter/bifurcations/ | math_bio | Vertical axis is labeled Population Density, \(N\). Horizontal axis is labeled Parameter \(p\). One line runs along \(N = 5\) and is solid until \(p = 5\) and dashed afterwards. Two solid curves appear at \(N = 5\) and \(p = 5\), one increasing and one decreasing. | |||
https://sheffield.pressbooks.pub/introducingmathematicalbiology/chapter/a-two-gene-toggle-switch/ | math_bio | Graph of two curves. \(p_1\) is on the horizontal axis taking values from 0 to 1, and \(p_2\) is on the vertical axis taking values from 0 to 1. A blue curve starts at \(p_1 = 0\), \(p_2 = 1\), is initially flat, before a steady decrease and then flattening out again and tending towards 0 for high \(p_1\). The red curv... | |||
https://sheffield.pressbooks.pub/introducingmathematicalbiology/chapter/a-two-gene-toggle-switch/ | math_bio | \(\lambda\) is on the horizontal axis, the vertical axis is unnamed. Two red horizontal lines lie at \(3\) and \(-3\). Three blue 'U-shaped' curves are drawn. A solid line starts around \(15\), is at a minimum in between the two red lines and curves back up. A dashed line starts around \(8\), has a minimum between the ... |
Dataset Card for MathAccess Dataset
The MathAccess Dataset is a curated collection of 2,020 mathematical figures paired with descriptions, captions, contextual information, and source metadata. It was created to support research in OCR-free math understanding, math image description generation, and improving accessibility in mathematics education.
Citation Requirement: If you use this dataset (or any of its splits) in your research, presentations, or products, please formally cite our associated arXiv paper. See the Citation section below for BibTeX and APA formats.
In this repository, you will find:
- the full dataset
- the training, testing, and validation subsets used for (paper in progress)
For in-depth information regarding the dataset, please read our paper (link).
Dataset Details
Dataset Description
The following table depicts the split in the dataset to form the training, testing, and validation subsets used for the paper (link):
| Split | Size | Description |
|---|---|---|
| Full | 2020 | The entire dataset (no splits) |
| Train | 1990 | Used for model training |
| Validation | 10 | Used for hyperparameter tuning |
| Test | 20 | Held-out evaluation set |
Split Logic
The splits were created by
- shuffle dataset with seed = 36
- select 30 images for temporary split (seed = 36)
- split the temporary split to produce 10 entries for validation and 20 for testing (seed = 36)
- the remaining data forms the training subset.
Dataset Metadata
- Curated by: Rebeka Popek, Vaghawan Ojha, Young Hwan You
- Language(s) (NLP): English
- License: CC BY-NC-SA 4.0
- Paper [optional]: [More Information Needed]
Uses
MathAccess is intended for training and evaluating models in:
- OCR-free math description generation and
- accessibility for mathematical content.
Out-of-Scope Use
This dataset is not intended to be used commercially as that will violate the Creative Commons copyrights of many sources.
Dataset Features
| Field | Type | Description |
|---|---|---|
| file_name | Image | The image itself |
| description | string | Figure description |
| context | string | Additional contextual information |
| captions | string | Figure captions that appeared below the image |
| book | string | Source book title |
| url | string | Source URL |
Dataset Creation
Source Data
The data was collected only from open educational resources (OER). If using this dataset, please respect their intellectual property and copyrights.
Data Collection and Processing
The dataset was produced using
- Python's Playwright library to collect the metadata
- Label Studio for annotation and
- manual curation to ensure quality and accuracy.
Quality checks included:
- rewriting image descriptions to fit NWEA's image description guidelines
- converting all math content into LaTeX (in amsmath formatting) and
- adding white backgrounds to images with transparent backgrounds.
Maintainer
Huggingface: @rpopek
email contact: rebekapopek@gmail.com
Citation
BibTeX:
@misc{popek2026mathaccess,
title = {MathAccess: A Dataset of Mathematical Images and Their Long Descriptions},
author = {Popek, Rebeka and Ojha, Vaghawan and You, Young Hwan},
year = {2026},
publisher = {to be added}
url = {to be added},
doi = {to be added}
}
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