The recommended safety angle of a ladder against a building is 71 o. A -m ladder will be used. How high up on the side of the building will the ladder safely reach? (See the illustration.) Round your answer to the appropriate number of significant digits. 

A. 11 m
B. 9.5 m
C. 8.9 m
D. 7.8 m
E. 8.4 m


Answer: B

Mathematics

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Suppose that y is inversely proportional to x. Use the given information to find the constant of proportionality k. Then use y =  to find y for the given value of x.y = 12.5 when x = 5;Find y given x = 25.

A. k = 62.5; y = 2.5 B. k = 70; y = 2.8 C. k = 2.5; y = 62.5 D. k = 55; y = 2.2

Mathematics

Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.csc ? = - , tan ? > 0Find cos .

A.
B. - 
C.
D. - 

Mathematics

Write the whole number in words.4,200,091

A. Four million, twenty thousand, ninety-one B. Forty-two thousand, ninety-one C. Four million, two hundred thousand, ninety-one D. Four million, two hundred ninety-one

Mathematics

y?? + 36y = 54x + 6, y (0) = 7 6, y?(0) = 1

Solve the initial-value problem.

Mathematics