Given two concentric circles (circles with the same center) with central angle ? = 45°,r1 = 4.5 m, and r2 = 9 m, find the shaded area in the illustration below. Round your answer to three significant digits. 

A. 29.106 m 2
B. 47.713 m 2
C. 25.856 m 2
D. 7.594 m 2
E. 23.856 m 2


Answer: E

Mathematics

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Solve the problem.Find the equation of the tangent line to the curve  -  = 1, at the point 

A. -x + 81y = 81
B. x - 81y = 74
C. x + 9y = 74
D. -x + 81y = 74

Mathematics

Find the indicated probability.The following table displays a distribution for a group of retired people by career and age at retirement. Suppose one of these people is selected at random. Find the probability that the person was a secretary or that they retired between ages 56 and 60. Round your answer to the nearest thousandth.

A. 0.063 B. 0.253 C. 0.444 D. 0.507

Mathematics

Find the domain and range of the function represented in the graph.

A. Domain: (-?, ?); Range: (-?, ?) B. Domain: (-?, ?); Range: [-4, ?) C. Domain: [-1, ?); Range: [-4, ?) D. Domain: (-?, -1) or (-1, ?); Range: (-?, -4) or (-4, ?)

Mathematics

Find the zeros of f(x), given that one zero is k.f(x) = 16x4 - 8x3 + 146x2 - 32x + 328k = 2i

A. ±2i,  ± i
B. ±2i, -  ± i
C. ±2i, -  ± i
D. ±2i,  ± i

Mathematics