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1. |
 and  are similar. Find a if x = 7, y = 1,
and  |
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A. |
1 |
B. |
 |
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C. |
 |
D. |
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Hint |
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2. |
Find sin X. |
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A. |
0.75 |
B. |
8 |
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C. |
0.6 |
D. |
0.8 |
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Hint |
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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. |
27.63 |
B. |
15.49 |
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C. |
21.95 |
D. |
28.17 |
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Hint |
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4. |
In a right triangle, the length c of the hypotenuse is 14 and the length b of one of the legs is 8. Find the length a of the other leg to the nearest hundredth. |
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A. |
11.49 |
B. |
21.23 |
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C. |
19.88 |
D. |
16.12 |
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Hint |
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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. |
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Hint |
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6. |
Simplify  |
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A. |
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B. |
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C. |
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D. |
72 |
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Hint |
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7. |
Simplify  . |
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A. |
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B. |
7 |
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C. |
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D. |
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Hint |
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8. |
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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Hint |
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9. |
Solve  . |
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A. |
2 |
B. |
-1 |
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C. |
no real solution |
D. |
0 |
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Hint |
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10. |
Find the distance between points with coordinates (3, -4) and (-6, 5). |
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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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11. |
The distance between the points with coordinates (3, 7) and (-2, a) is  units. Find the value of a. |
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A. |
-1 or 1 |
B. |
1 or 13 |
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C. |
-1 or 13 |
D. |
-1 or -13 |
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Hint |
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12. |
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 3755 pounds |
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C. |
greater than 134,811 pounds |
D. |
less than 134,811 pounds |
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Hint |
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13. |
Which of the following is not necessarily true concerning similar triangles? |
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A. |
The measures of their corresponding angles are equal. |
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B. |
The measures of their corresponding sides are proportional. |
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C. |
The measures of their corresponding sides are equal. |
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D. |
Each triangle has angles whose sum is 180°. |
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Hint |
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14. |
Libby looked out of her airplane window at a 32° angle with respect to the horizontal, and saw the Sears Tower building in Chicago. If the airplane had an altitude of 4000 feet, how far away were they from being directly over Chicago? |
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A. |
6401 ft. |
B. |
2499 ft. |
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C. |
9900 ft. |
D. |
1616 ft. |
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Hint |
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