| Ch 6: Circles | Ch 8: Area | Ch 9: Pythagorean Theorem | Ch 10: Volume | Ch 11: Proportions |
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Supplementary
Opposite angles of a cyclic quadrilateral are...?
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h=8 in
A trapezoid has base lengths 5 in and 10 in and an area of 60 in squared. Find the height.
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5 cm
The two bases of a right triangle are 3 cm and 4 cm. Find the length of the hypotenuse.
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V=225 cm cubed
A triangular prism has a base area of 15 cm. The prism has a height of 30 cm. Find the volume.
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x=1.75
Solve for x: 20/7=5/x
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3.2 cm
What is the radius of a circle with an area of 10π cm squared to the nearest tenth?
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360 ft squared
A regular hexagon has an apothem of 12 ft. Each side length is 10 ft. Find the area.
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8.7 cm
A hypotenuse of a right triangle is 10 cm. One base is 5 cm. Find the other base to the nearest tenth.
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H=1.6 in
A regular hexagonal prism has a volume of 600 in cubed. The apothem is 10 in and each side is 12.5 in. Find the height of the prism.
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y=150
Solve for y: 45/3=y/10
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45,841.4 cm squared
What is the area of a circle that has a circumference of 756 cm to the nearest tenth?
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The inscribed circle.
An apothem in a regular polygon will always equal to the radius of what?
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15√5
Simplify: 3√20 + 3√45
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V=.52 in cubed
Find the volume of a spherical marble that has a radius of .5 in.
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h=30'
A 5'6" man casts an 11' shadow. How long will the shadow of a 15' tree be at the same time of day?
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3 cm
In order to increase the circumference of a circle from 4π cm to 7π cm, by how much the diameter increase?
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SA=534.1 m squared
The radius of a cylinder is 5 m. Its height is 12 m. Find the surface area to the nearest tenth.
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Pythagoras
This Greek mathematician born in 569 B.C. is credited for first offering proof of the Pythagorean Theorem.
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Of all three dimensional shapes, the sphere's surface area is the smallest for a given volume.
What is unique to the ratio of the surface area of a sphere and the volume of a sphere?
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2 calories/gram
A bakery sells a cake that is 200 grams. For each gram, there are 8 calories. If the bakery sells a 50 gram muffin that follows the same calorie/gram ratio, how many calories per gram are there in the muffin?
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He recognized that the ratio of circumference to diameter in a circle could not be expressed as a rational number
Mathematician William Jones is credited for what discovery about π in 1706?
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P=28 cm
The area of a regular octagon is 75.6 cm squared. Its side length is 5.4 cm. Find the perimeter.
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SA=745.85 cm squared
The height of a right cone is 12.4 cm. Its slant height is 15.6 cm. FInd the surface area to the nearest hundredth.
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V=157.72 cm cubed
A cube has side lengths of 5 cm. A hemisphere is attached onto the top base, and covers the complete distance across the base. Find the volume of the shape to the nearest hundredth.
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144/25
A rectangular prism has a length of 15 cm, width of 6 cm, and a height of 8 cm. A cube has side lengths of 5 cm. Find the ratio between the volume of the rectangular prism and the volume of the cube.
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