Solve the problem.Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 54 feet from point A and 72 feet from point B. The angle ACB is 60°. How far apart are points A and B?

A. 109.5 feet
B. 100.2 feet
C. 64.9 feet
D. 78.5 feet


Answer: C

Mathematics

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Solve the problem.Find the centroid of the rectangular solid defined by .

A.  = 2, = 1,  = 
B.  = 1,  =  = 
C.  =  =  = 3
D.  = 4,  = 2,  = 9

Mathematics

Find the indicated term for the geometric sequence.a1 = 122,880, r = ; a6

A. 30
B. 480
C. 120
D.

Mathematics

Find the center of the hyperbola.16y2 - 25x2 = 400

A. (4, 0) B. (0, 0) C. (0, 5) D. (5, 4)

Mathematics

Provide an appropriate response.Consider an equation of direct variation y = kx. When x increases, does y increase or decrease?

Fill in the blank(s) with the appropriate word(s).

Mathematics