Use a formula to solve the problem.A pie-shaped (triangular) lake-front lot has a perimeter of 900 feet. One side is 100 feet longer than the shortest side, while the third side is 200 feet longer than the shortest side. Find the lengths of all three sides.
A. 300 ft, 300 ft, 300 ft
B. 100 ft, 200 ft, 300 ft
C. 200 ft, 300 ft, 400 ft
D. 300 ft, 400 ft, 500 ft
Answer: C
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Solve the problem.The sum of the squares of the digits of a positive two-digit number is 85, and the tens digit is 1 less than the units digit. Find the number.
A. 56 B. 65 C. 67 D. 76
Provide an appropriate response.Explain why the graph of a hyperbola does not satisfy the conditions for the graph of a function.
What will be an ideal response?
In the LORAN (LOng RAnge Navigation) radio navigation system, two radio stations located at A and B transmit simultaneous signals to a ship or an aircraft located at P. The onboard computer converts the time difference in receiving these signals into a distance difference |A| - |B|, and this, according to the definition of a hyperbola, locates the ship or aircraft on one branch of a hyperbola (see the figure). Suppose that station B is located L = 480 mi due east of station A on a coastline. A ship received the signal from B 1280 microseconds (?s) before it received the signal from A. Assuming that radio signals travel at a speed of 1000 ft/?s and if the ship is due north of B, how far off the coastline is the ship? Round your answer to the nearest mile.
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Use a power-reducing identity to find the exact value of the expression.cos2 (75°)
A. 
B. 
C. 
D. 