Find the area of the sector formed by central angle ? = 20° in a circle of radius r = 3 m.

A. 1.57 m2
B. 1.49 m2
C. 1.51 m2
D. 1.55 m2
E. 1.53 m2


Answer: A

Mathematics

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Write the number in expanded form.623,865

A. (6 ? 105) + (2 ? 104) + (3 ? 103) + (8 ? 102) + (6 ? 101) + (5 ? 100) B. (6 ? 106) + (2 ? 105) + (3 ? 104) + (8 ? 103) + (6 ? 102) + (5 ? 101) C. (6 ? 101) + (2 ? 102) + (3 ? 103) + (8 ? 104) + (6 ? 105) + (5 ? 106) D. (6 ? 100) + (2 ? 101) + (3 ? 102) + (8 ? 103) + (6 ? 104) + (5 ? 105)

Mathematics

Solve the problem.The 10 ft wall shown here stands 33 feet from the building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall.

A. 43 ft B. 58.7 ft C. 56.7 ft D. 57.7 ft

Mathematics

Consider the functions f and g as shown in the graph. Answer the question.What is the value of (f + g)(3)?

A. -1 B. 0 C. 1 D. 3

Mathematics

Perform the indicated operation and simplify. Assume all variables in the radicand are greater thanor equal to zero.4 + 5

A. (4a3 + 5)
B. (4a + 5)
C. 4a3 + 5
D. (9a3)

Mathematics