Solve the problem.A twenty-five foot ladder just reaches the top of a house and forms an angle of 41.5° with the wall of the house. How tall is the house? Round your answer to the nearest 0.1 foot.
A. 18.7 ft
B. 19 ft
C. 18.6 ft
D. 18.8 ft
Answer: A
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Find the inverse of the one-to-one function.f(x) =
A. f-1(x) = -
B. f-1(x) =
C. f-1(x) = -
D. f-1(x) = -
Solve the problem.After one round in a card game, your score was -39 points. After the second round, your score was 14 points. How many points did you score in the second round?
A. 53 points B. 14 points C. 25 points D. -25 points
An experiment consists of casting a pair of dice and observing the number that falls uppermost on each die. We may represent each outcome of the experiment by an ordered pair of numbers, the first representing the number that appears uppermost on the first die and the second representing the number that appears uppermost on the second die. Consider the sample space
S= {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)} Determine the event that the number that falls uppermost on the second die is double that of the number that falls on the first die. a. {(1, 2), (2, 4), (3, 6)} b. {(3, 1), (2, 6), (4, 4)} c. {(1, 1), (2, 1), (1, 6)} d. {(1, 2), (5, 3), (6, 6)}
Simplify by combining like terms.5ab - 5 + 2ab + 6
A. 7ab - 1 B. 7a + 7b + 1 C. 8ab D. 7ab + 1