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1. |
Which pair of triangles is similar? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
and are similar. Find a if x = 7, y = 1, and  |
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A. |
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B. |
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C. |
1 |
D. |
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3. |
In a right triangle, the legs have measures a = 11 and b = 19. Find the length c of the hypotenuse to the nearest hundredth. |
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A. |
15.49 |
B. |
21.95 |
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C. |
27.63 |
D. |
28.17 |
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4. |
Simplify . |
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A. |
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B. |
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C. |
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D. |
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5. |
Simplify . |
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A. |
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B. |
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C. |
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D. |
The expression is in simplest form |
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Hint |
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6. |
Solve . |
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A. |
-1, 3 |
B. |
3 |
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C. |
1, 3 |
D. |
-1 |
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7. |
The distance between the points with coordinates (-8, 4) and (1, a) is 15 units. Find the value of a. |
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A. |
8 |
B. |
-8 or 16 |
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C. |
8 or 16 |
D. |
-8 |
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8. |
Find the result of |
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A. |
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B. |
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C. |
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D. |
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9. |
Find . |
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A. |
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B. |
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C. |
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D. |
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10. |
Suppose the formula represents the relationship between a plane's length L and the pounds P its wings can lift, where k is a constant of proportionality calculated for a plane. If its wings are 150 feet and k = 0.1669, what range of values are possible for weight? |
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A. |
less than 3755 pounds |
B. |
greater than 134,811 pounds |
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C. |
less than 134,811 pounds |
D. |
greater than 3755 pounds |
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Hint |
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11. |
Determine the third side measure that will form a right triangle if two of the sides are 9 and 41. |
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A. |
42 |
B. |
does not exist |
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C. |
40 |
D. |
27 |
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12. |
Find the value of a if the distance between (4, 3) and (–1, a) is 13 units. |
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A. |
a = 15 or –9 |
B. |
a = –15 or 9 |
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C. |
a = –15 only |
D. |
a = 15 only |
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Hint |
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13. |
Using the figure, which expression is equal to cos 38°? |
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A. |
sin 52° |
B. |
tan 52° |
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C. |
tan 38° |
D. |
sin 38° |
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14. |
John wanted to see the flag as he sang the national anthem, so he looked up at it at an angle of 38°. Then, he decided to get a closer look, so he walked 150 feet toward the flag. If his angle of elevation was now 46°, how high was the flag? |
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A. |
155.3 ft. |
B. |
460.9 ft. |
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C. |
117.2 ft. |
D. |
477.3 ft. |
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Hint |
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