In the figure below, a = 9, b = 12, and ? = 14. Use this information to solve the parallelogram for ?. The diagonals of the parallelogram are represented by c and d. Round your answer to two decimal places.
figure not drawn to scale

A. 90.00°
B. 93.86°
C. ?97.72°
D. 82.28°
E. 90.96°


Answer: C

Mathematics

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Find the potential function f for the field F.F = 3x2y4z9i + 4x3y3z9j + 9x3y4z8k

A. f(x, y, z) = x3y4z9 + C
B. f(x, y, z) = x9y12z27 + C
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D. f(x, y, z) = 

Mathematics

Express the function as a sinusoid of the form y = a sin (bx + c).y = 5 sin (5x) + 3 cos (5x)

A. y =  sin 
B. y =  sin 
C. y =  sin 
D. y =  sin 

Mathematics

Evaluate the determinant.

A. -47 B. -46 C. -23 D. 920

Mathematics

A small corporation borrowed $800,000  to expand its line of toys. Some of the money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each rate if the annual interest owed was $67,400 and the amount borrowed at 8% was five times the amount borrowed at 10%? ?

A. $575,000 at 8%$110,000 at 9%$115,000 at 10% B. $575,000 at 8%$115,000  at 9%$115,000 at 9% C. $575,000 at 9%$110,000 at 8%$115,000 at 10% D. $575,000 at 8%$115,000  at 9%$110,000  at 10% E. $575,000 at 8%$115,000  at 9%$115,000 at 10%

Mathematics