Solve the problem.A photographer points a camera at a window in a nearby building forming an angle of 42° with the camera platform. If the camera is 52 m from the building, how high above the platform is the window, to the nearest hundredth of a meter?

A. 46.82 m
B. 57.75 m
C. 0.9 m
D. 1.11 m


Answer: A

Mathematics

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Use the present value formula to determine the amount to be invested now, or the present value needed.The desired accumulated amount is $20,800 after 15 years invested in an account with 5% interest compounded annually.

A. $10,505.41 B. $10,005.16 C. $10,794.84 D. $43,241.71

Mathematics

Provide an appropriate response. Explain why whole number exponents of i have values that repeat in cycles of four. It may be helpful to break down  i5 as i5 = i4 ? i (as well as i6 = i4 ? i2, i7 = i4 ? i3,  i8 = i4 ? i4, etc.) to explain the cycle.

What will be an ideal response?

Mathematics

Write as the sum and/or difference of logarithms. Express powers as factors.log 

A. log(x - 1) + log(x2 + x + 1) - 3 log x B. log 1 - 3 log 1 - 3 log x C. log(x - 1) + log(x2 + 1) - 3 log x D. log x3 - log 1 - 3 log x

Mathematics

Determine the real solutions to the system of nonlinear equations.x2 + y2 = 25 -12x + y2 = 57

A. (-4, 3), (-4, -3) B. (-4, 3), (-4, -3), (-8, 3), (-8, -3) C. (-4, 3), (-4, -3), (4, 3), (4, -3) D. (-4, 3)

Mathematics