Solve the problem.An experimental model for a suspension bridge is built in the shape of a parabolic arch. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers stand 40 inches apart. At a point between the towers and 12 inches along the road from the base of one tower, the cable is 0.64 inches above the roadway. Find the height of the towers.

A. 6 in.
B. 3.5 in.
C. 4.5 in.
D. 4 in.


Answer: D

Mathematics

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Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.20, 13 , 6, -1, . . .

A. an = 7n - 27; a20 = 113 B. an = 7n - 20; a20 = 120 C. an = -7n + 20; a20 = -120 D. an = -7n + 27; a20 = -113

Mathematics

Provide an appropriate response.Will the substitution method always work for a system of linear equations? Explain your answer.

What will be an ideal response?

Mathematics

Solve the right triangle shown in the figure. Round lengths to one decimal place and express angles to the nearest tenth of a degree. a = 3.2 cm, b = 1.9 cm

A. A = 59.3°, B = 30.7°, c = 3.7 cm B. A = 54.8°, B = 35.2°, c = 3.7 cm C. A = 30.7°, B = 59.3°, c = 3.7 cm D. A = 36.4°, B = 53.6°, c = 5.1 cm

Mathematics

Solve the problem.Given the following revenue and cost functions, find the x-value that makes profit a maximum. (Recall that profit equals revenue minus cost.) R(x) = 58x - 2x2; C(x) = 25x + 98

A. 14.5 B. 9.25 C. 16.5 D. 8.25

Mathematics