Solve the problem. Be sure to make a diagram of the situation with all the given information labeled.
?
A person standing on top of a 15-foot high sand pile wishes to estimate the width of the pile. He visually locates two rocks on the ground below at the base of the sand pile. The rocks are on opposite sides of the sand pile, and he and the two rocks are in line with one another. If the angles of depression from the top of the sand pile to each of the rocks are 17° and 26°, how far apart are the rocks?
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A. 80 ft
B. 82 ft
C. 87 ft
D. 90 ft
E. 75 ft
Answer: A
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Solve the problem.A vendor has learned that, by pricing hot dogs at $1.00, sales will reach 120 hot dogs per day. Raising the price to $2.00 will cause the sales to fall to 68 hot dogs per day. Let y be the number of hot dogs the vendor sells at x dollars each. The linear equation y = -52x + 172 models the number of hot dogs sold per day when the price is x dollars each. Interpret the slope.
A. The number of hot dogs sold decreases at a rate of 172 per $1 increase in the price per item. B. The number of hot dogs sold increases at a rate of 52 per $1 increase in the price per item. C. The price of hot dogs decreases at a rate of $52 per item sold. D. The number of hot dogs sold decreases at a rate of 52 per $1 increase in the price per item.
Find the ratio of net income after taxes to average owner's equity. Round to the nearest tenth of a percent.Owner's equity at beginning of year: $542,000. Owner's equity at end of year: $707,000. Net income after taxes: $90,500.
A. 16.8% B. 12.8% C. 14.5% D. 16.7%
Determine whether the given point is on the graph of the equation.Equation: x2 - y2 = 4Point: ( 
, 
)
A. Yes B. No
Identify the base and the exponent for the exponential expression.(-2x)4
A. Base: x, exponent: 4 B. Base: 4, exponent: -2x C. Base: 2x, exponent: 4 D. Base: -2x, exponent: 4