Exam 12: Geometry

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Find the area and perimeter of the triangle shown below. Use the rules for working with measurements.  Find the area and perimeter of the triangle shown below. Use the rules for working with measurements.   area = __________  \mathrm { cm } ^ { 2 }  perimeter = __________cm area = __________ cm2\mathrm { cm } ^ { 2 } perimeter = __________cm

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Follow the rules for working with measurements. Find the surface area and the volume of the sphere. Follow the rules for working with measurements. Find the surface area and the volume of the sphere.

(Multiple Choice)
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Find (a) the lateral surface area, and (b) the total surface area of the right circular cylinder shown in the illustration. Follow the rules for working with measurements. Find (a) the lateral surface area, and (b) the total surface area of the right circular cylinder shown in the illustration. Follow the rules for working with measurements.

(Multiple Choice)
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Find the length of BC in the illustration. Find the length of BC in the illustration.

(Multiple Choice)
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A gusset is the shape of a right triangular prism. If the right triangular base has dimensions 3 in. × × 4 in. × × 5 in., and the height is 7 in., what is the total surface area of the prism? Follow the rules for working with measurements.

(Multiple Choice)
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Classify the given angle as right, acute, or obtuse. Classify the given angle as right, acute, or obtuse.

(Multiple Choice)
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Find the length of the missing side in the triangle. Use the rules for working with measurements. Find the length of the missing side in the triangle. Use the rules for working with measurements.

(Multiple Choice)
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Use the formula A = bh. A=307 m2A = 307 \mathrm {~m} ^ { 2 } , h=19.3h = 19.3 m; find b.

(Multiple Choice)
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Follow the rules for working with measurements. Follow the rules for working with measurements.   Find the volume of the right circular cone. V = __________ cm<sup>3</sup> Find the lateral surface area of the right circular cone. A = __________ cm<sup>2</sup> Find the volume of the right circular cone. V = __________ cm3 Find the lateral surface area of the right circular cone. A = __________ cm2

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The perimeter of a regular heptagonal shaped piece of flat steel is 42 in., six inches per side. If a welder is to cut another piece of flat steel that is similar but with a 77 in. perimeter, what is the length of each side?

(Multiple Choice)
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Find x and y to three significant digits using the formula s = r? (? in radians).   Radius, r Angle, \Theta Distance, s 20 x 52 10 y 18

(Multiple Choice)
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Find the perimeter and the area of the quadrilateral. Find the perimeter and the area of the quadrilateral.

(Multiple Choice)
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A swimming pool company is preparing drawings of a newly designed uniform 4 ft deep lap pool. Overflow "scupper" valves are required, one for every 11,000 gal of water. The pool is 80 ft wide and 40 ft long. Water weighs 62.4 lb/ft 3 and 8.34 lb/gal. How many scuppers are required? A swimming pool company is preparing drawings of a newly designed uniform 4 ft deep lap pool. Overflow scupper valves are required, one for every 11,000 gal of water. The pool is 80 ft wide and 40 ft long. Water weighs 62.4 lb/ft <sup>3</sup> and 8.34 lb/gal. How many scuppers are required?

(Multiple Choice)
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Name the polygon. Name the polygon.

(Multiple Choice)
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How many radians are contained in a central angle which is 23\frac { 2 } { 3 } of a circle?

(Multiple Choice)
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In the illustration, AB‾∥CD‾\overline { A B } \| \overline { C D } . Find the lengths of AC‾\overline { AC } and CD‾\overline{C D} .  In the illustration,  \overline { A B } \| \overline { C D }  . Find the lengths of  \overline { AC }  and  \overline{C D}  .

(Multiple Choice)
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Suppose angles 1 and 2 are supplementary and ?1 = 35∘35 ^ { \circ } . Then ?2 = _____°.

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Find the impedance of a circuit with reactance 20.3Ω20.3 \Omega and resistance 38.4Ω38.4 \Omega . (See illustration.) Use the rules for working with measurements.  Find the impedance of a circuit with reactance  20.3 \Omega  and resistance  38.4 \Omega  . (See illustration.) Use the rules for working with measurements.

(Multiple Choice)
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A cylindrical tank is 20 ft 5 in. long and 4 ft 5 in. in diameter. How many cubic feet does it hold? Round your answer to three significant digits.

(Multiple Choice)
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Find the measure of the missing angles in the triangle shown below. Find the measure of the missing angles in the triangle shown below.

(Multiple Choice)
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