Exam 11: Basic Geometry

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In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. - b=20 cm,c=25 cm\mathrm{b}=20 \mathrm{~cm}, \mathrm{c}=25 \mathrm{~cm}

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Find the measure of the requested angle. -Find the complement of 2626^{\circ} .

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Find the circumference of the circle. Use 3.14 for π\pi . - Find the circumference of the circle. Use 3.14 for  \pi . -

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Find the volume. -Of a box 24 in. ×20\times 20 in. ×23\times 23 in.

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In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. - a=7in.,b=24in\mathrm{a}=7 \mathrm{in.}, \mathrm{b}=24 \mathrm{in} .

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Find area of figure. Round to the nearest hundredth if necessary. -A triangle whose base is 10in10 \mathrm{in} . and height is 6 in.

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Find area of figure. Round to the nearest hundredth if necessary. -Find area of figure. Round to the nearest hundredth if necessary. -  All segments are of equal length All segments are of equal length

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Find the unknown. -Find the unknown. -

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Solve area problem. -The diameter of a discus is about 8.6 in. What is the area of one flat surface of the discus? (Round to the nearest hundredth.) (Use 3.14 for π\pi .)

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Solve the problem. Use 3.14 as the approximate value of π\pi . Round to the nearest tenth unless instructed otherwise. -The volume of a ball is 85.33πin385.33 \pi \mathrm{in}^{3} . Find the dimensions of a rectangular box that is just large enough to hold the ball.

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Choose the appropriate sketch and description for the indicated geometric object. -Isosceles ABC\triangle A B C

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Approximate the square root. Round to the nearest tenth, if needed. - 3\sqrt{3}

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In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Give an answer to the nearest tenth if necessary. - a=8\mathrm{a}=8 in., c=17in\mathrm{c}=17 \mathrm{in} .

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Find area of figure. Round to the nearest hundredth if necessary. -Find area of figure. Round to the nearest hundredth if necessary. -

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Solve area problem. -Find the cost to asphalt a circular racetrack if asphalt costs $70\$ 70 per 100ft2100 \mathrm{ft}^{2} . (Use 3.14 for π\pi . Round to the nearest dollar.) =85 =140  Solve area problem. -Find the cost to asphalt a circular racetrack if asphalt costs  \$ 70  per  100 \mathrm{ft}^{2} . (Use 3.14 for  \pi . Round to the nearest dollar.)  \begin{aligned} & \mathrm{r}=85 \mathrm{ft} \\ & \mathrm{R}=140 \mathrm{ft} \end{aligned}    (Use 3.14 for  \pi .) (Use 3.14 for π\pi .)

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Find the measure of the requested angle. -In an equilateral triangle, what is the measure of each angle.

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Find area of circle. (Use 3.14 for π\pi ) -A circle whose diameter is 20yd20 \mathrm{yd}

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Solve the problem. -The opening in the top of a recycle bin is in the shape of a trapezoid. The measure of each of the lower angles is 8080^{\circ} . Find the measure of each of the top angles, which are also equal to each other.

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Find the perimeter or circumference. Use π3.14\pi \approx 3.14 when needed. -A polygon whose side lengths are 5.5ft,4.59ft,2.21ft,6ft5.5 \mathrm{ft}, 4.59 \mathrm{ft}, 2.21 \mathrm{ft}, 6 \mathrm{ft} , and 2.9ft2.9 \mathrm{ft}

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Use a proportion to solve the problem. Round to the nearest tenth as needed. -A tree casts a shadow 19 m19 \mathrm{~m} long. At the same time, the shadow cast by a 34cm34-\mathrm{cm} tall statue is 62 cm62 \mathrm{~cm} long. Find the height of the tree.

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