Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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A bird watcher spied a woodpecker. The bird watcher is 40 yards lower than the
woodpecker. The distance from the bird watcher to the woodpecker is 175 yards. What is the angle of
elevation?
a. | 13.2° | c. | 76.8° | b. | 12.9° | d. | 77.1° |
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2.
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Write the equation of a circle with center M(–3, –6) and
radius 2.
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3.
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Find x and y.
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4.
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Find the probability that a point chosen at random lies in the shaded
region.
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5.
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Find the area of the regular polygon. Round your answer to the nearest
tenth.
a. | 483.0 in.2 | b. | 176.6 in.2 | c. | 966.1
in.2 | d. | 80.0 in.2 |
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6.
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Find the measure of the .
a. | 143 | c. | | b. | | d. | 12 |
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7.
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Find the lateral area of the cone to the nearest whole number. | Not drawn to
scale | |
a. | 9425 m | b. | 4712 m | c. | 7540 m | d. | 3770 m |
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8.
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A fruit bowl contains 6 apples, 3 pears, and 8 oranges. Kayla selects 2 fruits
at random without replacement. What is the probability that she selects an apple, then an
orange?
a. | 26.4% | c. | 23.5% | b. | 16.6% | d. | 17.6% |
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Find the volume of the cylinder in terms of .
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9.
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10.
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has radius 9, has radius 4, and
is a common tangent. What is CD? ( Hint: Draw a perpendicular segment from B to .)
a. | CD = 12 | c. | CD = 13.3 | b. | CD = 12.4 | d. | CD = 13 |
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11.
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The vertices of a triangle are P(–4, –2), Q(–1,
4), and R(4, 5). Name the vertices of the image reflected in the x-axis.
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12.
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Find x.
a. | | c. | 8 | b. | | d. | 272 |
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13.
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Find the volume of the composite space figure to the nearest whole
number.
a. | 170 cm | b. | 180 cm | c. | 60 cm | d. | 120 cm |
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14.
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Find x.
a. | 23 | c. | | b. | | d. | 11 |
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15.
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The area of a regular hexagon is 30 in.2. Find the length of a side.
Round your answer to the nearest tenth.
a. | 4.5 in. | b. | 5.9 in. | c. | 3.4 in. | d. | 11.5
in. |
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16.
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Find the surface area of the figure to the nearest whole number.
a. | 155 ft | b. | 74 ft | c. | 310 ft | d. | 135 ft |
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Find x and the measures of the indicated parts.
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17.
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EB and ED
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18.
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AB
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19.
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Find the area of sector POM. Give your answer in terms of .
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20.
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P (1, 2) for the glide vector and the reflection
line y = – x. Find the coordinates of P.
a. | (1, –3) | b. | (3, 5) | c. | (–1, 3) | d. | (–3,
–5) |
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A 60-yard long drawbridge has one end at ground level. The other end is
initially at an incline of 5°.
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21.
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During one stage of the drawbridge’s motion, the raised end is 15 yards
above the ground. What is the incline of the drawbridge to the nearest hundredth?
a. | 14.04° | c. | 0.004° | b. | 75.52° | d. | 14.48° |
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22.
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The surface areas of two similar solids are 363 ft and
1199 ft . The volume of the larger solid is 1715
ft . What is the volume of the smaller solid?
a. | 286 ft | b. | 779 ft | c. | 944 ft | d. | 1,715 ft |
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23.
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Find x and y.
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24.
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Pierre built the model shown in the diagram below for a social studies project.
He wants to be able to show the inside of his model, so he sliced the figure as shown. Describe the
cross section he created.
a. | pyramid | b. | pentagon | c. | hexagon | d. | rectangle |
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25.
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26.
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The radius and height of the cylinder are multiplied by 4. Describe the effect
on the volume.
a. | The volume is multiplied by 4. | c. | The volume is multiplied by
64. | b. | The volume is multiplied by 16. | d. | The volume is multiplied by
8. |
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27.
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Graph the equation .
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28.
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Find the shape resulting from the cross-section of the cylinder.
a. | circle | c. | rectangle | b. | ellipse | d. | square |
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