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One side of a triangle is increasing at a rate of 6 cm/s and a second side is decreasing at a rate of 4 cm/s. If the area of the triangle remains constant, at what rate does the angle between the sides change when the first side is 25 cm long, the second side is 39 cm, and the angle is π/4? (Round your answer to three decimal places.)
Consider the crescent-shaped region between the circles x2 + y2 = 1 and (x - 0.5)2 + y2 = 2 as shown below. Find the centroid of the region
Explain what is wrong and why it is wrong.
The loading ramp at a delivery service is 10ft long and makes a 17.0° angle with the horizontal. If it is replaced with a ramp 20 ft long, what angle does the new ramp make with the horizontal?
Find the values of a which ensure that S is sloping upward when we move in the positive x-direction from the point (1, 2).
If 5 J of work are needed to stretch a spring from 9 cm to 10 cm and 7 J are needed to stretch it from 10 cm to 11 cm, what is the natural length L of the spring?
HOTEL OCCUPANCY RATES The occupancy rate of the allsuite Wonderland Hotel, located near an amusement park, is given by the function.
Demand for saline is normally distributed at 40 bags daily with a standard deviation of 9 bags and lead time is 5 days. What is the service probability that the hospital is currently delivering?
Assume that 2 cards are drawn from a standard? 52-card deck. Find the following probabilities.
Without using a trial and error or iterative approach, determine the initial speeds of both swimmers in m/s.
The perimeter of a rectangular rigid 24 fee. The length of the rug is 1 2/5 it's width. What is the area of the rug
What are the advantages and disadvantages of a corporate-owned mobile device strategy versus a BYOD mobile strategy?
Janet is planning to make fancy multi-tiered wedding cakes for the next wedding sales. To make the cakes, she must invest $834 in some special pans.
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