Exam 12: Geometry

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Match each pair of angles with its class. Match each pair of angles with its class.
∠1, ∠3
adjacent angles
∠6, ∠8
vertical angles
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∠1, ∠3
adjacent angles
∠6, ∠8
vertical angles
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The radius of a wheel is 15 in. It turns through an angle of 3.25 rad. What is the distance a point travels on the surface of the wheel? Round your answer to three significant digits.

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Follow the rules for working with measurements. Find the volume of the figure. (Hint: To find the area of the base of the pyramid, find the sum of the areas of the rectangle and the triangle.) Follow the rules for working with measurements. Find the volume of the figure. (Hint: To find the area of the base of the pyramid, find the sum of the areas of the rectangle and the triangle.)

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The side mirror of a small pickup truck is similar to that a larger full size pickup truck. If the smaller truck has a rectangular side mirror with a width of 13.3 in. and a height of 15.2 in., what is the height of the larger mirror if its width is 16.8 in.?

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Change 190 o to radians. Give the answer in radians to three significant digits. __________ radians

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Find the offset distance xx for the 77 foot pipe shown in the illustration below.  Find the offset distance  x  for the  7  foot pipe shown in the illustration below.

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A cooling water tower is in need of a larger ball float to shut off the inlet water when the tank is full. The present float is 6-inches in diameter and exerts 16-pounds of force. Calculations show that a ball having twice the volume would provide the necessary force. What is the diameter of the new float? Round your answer to the nearest hundredth.

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A ceiling is 9 ft by 12 ft. How many 1-ft-by-3-ft suspension panels are needed to cover the ceiling?

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Each hospital bed and its accessories use 96 ft 2 of floor space. How many beds can be placed in a ward 40 ft by 36 ft?

(Multiple Choice)
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Follow the rules for working with measurements. An engine has 8 cylinders. Each cylinder has a bore of 2.9 in. diameter and a stroke of 3.2 in. Find its piston displacement.

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Name the polygon. Name the polygon.

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Find the area and perimeter of the isosceles triangle shown below. Use the rules for working with measurements. Find the area and perimeter of the isosceles triangle shown below. Use the rules for working with measurements.

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Follow the rules for working with measurements. Find the volume of the figure. Follow the rules for working with measurements. Find the volume of the figure.

(Multiple Choice)
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Suppose angles 3 and 4 are complementary and ∠3=53∘\angle 3 = 53 ^ { \circ } . Then ?4 =  _____°.

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Find the perimeter and the area of the quadrilateral.  Find the perimeter and the area of the quadrilateral.   Perimeter = __________ cm Area = __________  \mathrm { cm } ^ { 2 } Perimeter = __________ cm Area = __________ cm2\mathrm { cm } ^ { 2 }

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Complete the table using the formula s = r Θ (Θ in radians). Give your answers to the nearest tenth of a degree.   Radius, r Angle, in degrees Distance, s 28 ---- 26.88 0.025 ---- 0.0202

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In the illustration, AB‾∥CD‾\overline { A B } \| \overline { C D } . Is triangle ABO similar to triangle CDO? Why or why not?  In the illustration,  \overline { A B } \| \overline { C D }  . Is triangle ABO similar to triangle CDO? Why or why not?

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Follow the rules for working with measurements. An experimental balloon is to have a diameter of 5.73 m. How much material is needed for this balloon? A = __________ m2

(Short Answer)
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A vertical tower 141 ft high is anchored to the ground by guy wires as shown in the illustration. How long is each guy wire? Round your answer to the nearest hundredth. A vertical tower 141 ft high is anchored to the ground by guy wires as shown in the illustration. How long is each guy wire? Round your answer to the nearest hundredth.

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A landing pad for a helicopter at a hospital has the shape of a regular hexagon. The perimeter of this landing pad is 28.80‾028.8 \overline { 0 } 0 ft with each side 480‾48 \overline { 0 } ft. At another hospital has a similar landing pad with perimeter 29.40‾029.4 \overline { 0 } 0 ft. What is the length of each of its sides?

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