Rewrite the equation in the form y = A sin(x + ?). Round ? to three decimal places.y = 4 sin x + 2 cos x
A. 2 sin (x + 0.464)
B. 2 sin (x + 1.107)
C. 2 sin (x - 0.464)
D. 2 sin (x - 1.107)
Answer: A
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Solve the problem.A hiker wants to know the height of a cliff. She finds that the angle of elevation from her current position to the top of the cliff is 24.6°. She then hikes 171 feet towards the cliff (in a straight line) and finds that the angle of elevation from her new position is 57.6°. How tall is the cliff? Round your answer to the nearest hundredth of a foot when necessary.
A. 110.35 ft B. 115.47 ft C. 112.65 ft D. 106.9 ft
First estimate the answer. Then add or subtract to find the exact answer. Write answer as a mixed number.
A. Estimate: 8; Exact:
B. Estimate: 8; Exact:
C. Estimate: 9; Exact:
D. Estimate: 9; Exact:
Find the slope and the y-intercept of the line.x + 5y = -5
A. m = ; y-intercept: (0, -25)
B. m = -5; y-intercept: (0, 0)
C. m = 5; y-intercept: (0, -25)
D. m = - ; y-intercept:
26 cards are labeled A thru Z. The cards are shuffled, one card is drawn, and replaced. This is done four times. What is the probability the letter K is drawn each of the four times?
What will be an ideal response?