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Chapter 5: Problem 33
Perform the indicated operation. Simplify the answer when possible. \(\frac{\sqrt{54}}{\sqrt{6}}\)
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Use a calculator with a square root key to find a decimal approximation for each square root. Round the number displayed to the nearest \(\mathbf{a}\). tenth, b. hundredth, \(\mathbf{c}\) thousandth. \(\sqrt{173}\)
Express each rational number as a decimal. \(\frac{5}{16}\)
The formula $$ d=\sqrt{\frac{3 h}{2}} $$ models the distance, \(d\), in miles, that a person \(h\) feet high can see to the horizon. Use this formula to solve The pool deck on a cruise ship is 72 feet above the water. How far can passengers on the pool deck see? Write the answer in simplified radical form. Then use the simplified radical form and a calculator to express the answer to the nearest tenth of a mile.
Find the prime factorization of each composite number. 85,800
Police use the formula \(v=2 \sqrt{5 L}\) to estimate the speed of a car, \(v\), in miles per hour, based on the length, \(L\), in feet, of its skid marks upon sudden braking on a dry asphalt road. Use the formula to solve A motorist is involved in an accident. A police officer measures the car's skid marks to be 245 feet long. Estimate the speed at which the motorist was traveling before braking. If the posted speed limit is 50 miles per hour and the motorist tells the officer he was not speeding, should the officer believe him? Explain.
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