Solve.The equation ? = cos-1 (R/Z) gives the phase angle between R and Z in an AC circuit. Find ? if R = 40 ohms and Z = 50 ohms.

A. 36.9°
B. 143.1°
C. 0.7°
D. 53.1°


Answer: A

Mathematics

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Solve.A rectangular box with volume 233 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base. Express the cost the box as a function of x.

A. C(x) = 3x2 + 
B. C(x) = 4x + 
C. C(x) = 2x2 + 
D. C(x) = 3x2 + 

Mathematics

Graph the hyperbola. Give the coordinates of the center as well as the values of a and b.25x2 - 9y2 = 225

A. center (0, 0), a = 3, b = 5

B. center (0, 0), a = 3, b = 5

C. center (0, 0), a = 5, b = 3

D. center (0, 0), a = 5, b = 3

Mathematics

Use the absolute value to express the distance between the points with coordinates a and b on the number line. Then determine this distance by evaluating the absolute value expression.a =  and b = - 

A.  = 
B.  = 1
C.  = 11
D.  = -1

Mathematics

Use rational exponents to simplify. Write the answer in radical notation if appropriate.6

A. (ab)3
B.
C. 3
D. (ab)2

Mathematics