Solve the problem. Round to the nearest whole unit.A 25-inch tall picture hangs on a wall so that its lower edge is  higher than the eyes of an observer. How far from the wall must the observer stand in order to make the angle subtended by the picture equal to 1/3 of the angle of elevation of the top?

A. 36 in.
B. 42 in.
C. 30 in.
D. 24 in.


Answer: A

Mathematics

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Find, if possible, the number of elements in sets A, B, and C using the given information.n(A - C) = 10n(C - A) = 2n(A ? C) = 22n(A ? B) = 10n((C ? A) - B) = 4n((A ? B) - C) = 4n(B - (A ? C)) = 3n(B ? C) = 7

A. n(A) = 20, n(B) = 14, n(C) = 12 B. n(A) = 16, n(B) = 18, n(C) = 12 C. n(A) = 12, n(B) = 25, n(C) = 20 D. The information is inconsistent or incomplete.

Mathematics

Solve the problem. Round your answer to three decimals.What annual rate of interest is required to triple an investment in 7 years?

A. 16.993% B. 8.497% C. 10.409% D. 15.694%

Mathematics

Solve.When making a telephone call using a calling card, a call lasting 6 minutes cost $1.70. A call lasting 13 minutes cost $3.10. Let y be the cost of making a call lasting x minutes using a calling card. Write a linear equation that models the cost of making a call lasting x minutes.

A. y = -0.2x + 2.9
B. y = 0.2x - 9.9
C. y = 0.2x + 0.5
D. y = 5x - 

Mathematics

Provide an appropriate response.Find all complex cube roots of z = -8. Write each root in rectangular form.

A. -2, -1 + i, -1 - i
B. -2, 1 + i, -1 - i
C. -2, -1 - i, 1 - i
D. -2, 1 + i, 1 - i

Mathematics