Solve the problem.A painter is going to apply a special coating to a triangular metal plate on a new building. Two sides measure are 14.6 m and 6.4 m. She knows that the angle between these sides is 24.6°. What is the area of the surface she plans to cover with the coating? Round to the nearest square meter.

A. 17 m2
B. 42 m2
C. 44 m2
D. 19 m2


Answer: D

Mathematics

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Solve the problem.The accompanying figure shows the graph of y = x2 shifted to a new position. Write the equation for the new graph.

A. y = (x - 6)2 B. y = x2 - 6 C. y = x2 + 6 D. y = (x + 6)2

Mathematics

Find the product.(-2 + 3)2

A. 35 - 12
B. 125 - 6
C. 125 - 12
D. 125

Mathematics

Write a linear factorization of the function.f(x) = x3 + 4x2 + 25x + 100

A. f(x) = (x + 4)(x + 5i)(x - 5i) B. f(x) = (x + 5)(x + 4i)(x - 4i) C. f(x) = (x + 5i)(x + 4i)(x - 4i) D. f(x) = (x + 4i)(x + 5i)(x - 5i)

Mathematics

Find the unknown length in the right triangle. If necessary, approximate the length to the nearest thousandth.

A. 17.5 mi B. 24 mi C. 25 mi D. 20 mi

Mathematics