Solve the problem.The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 64 cm long plays a B, what is the length of the string that plays a D?
A. 64 cm
B. 108 cm
C. 91 cm
D. 80 cm
Answer: B
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Solve the problem.An arch for a bridge over a highway is in the form of a semi-ellipse. The top of the arch is 35 feet above ground. What should the span of the bridge be, rounded to the nearest hundredth of a foot, if the height 30 feet from the center is to be 16 feet above ground?
A. 131.25 ft B. 33.73 ft C. 67.46 ft D. 62.13 ft
Solve the trigonometric equation symbolically, graphically, or numerically for sec2 ? - 2 = 0
A. ? = 135°, 315° B. ? = 30°, 150°, 210°, 330° C. ? = 45°, 135°, 225°, 315° D. ? = 30°, 330°
Factor the polynomial by grouping.7x2 + 16x - 15
A. (x - 3)(7x + 5) B. (x + 3)(7x - 5) C. (x - 5)(7x + 3) D. prime
Solve the problem.Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = -7x2, but which has a maximum of 8 at x = 4.
A. f(x) = 7(x - 4)2 + 8 B. f(x) = -7(x - 4)2 - 8 C. f(x) = -7(x + 4)2 + 8 D. f(x) = -7(x - 4)2 + 8