document.write( "Question 5754: I'm having trouble solving circumference ratios. The question is....\r
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document.write( "A boy rides his bicycle around a circular track that has a diameter of 76 ft. If a wheel of the bicycle spins exactly 48 times when going once around the track, what is the diameter of the wheel? \r
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document.write( "Write your answer in inches. \r
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document.write( "The answer key gives this formula to follow: n=D3.14/d3.14 =D/d\r
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document.write( "And here are the steps they made, but I don't know why they multiplied 76 by 12. \r
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document.write( "n=48
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document.write( "D=76=76*12=912
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document.write( "d=912/48=19
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document.write( "d=19inches
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Algebra.Com's Answer #327414 by cleomenius(959)![]() ![]() You can put this solution on YOUR website! First step I did was find the convert to inches the diameter of the track.\r \n" ); document.write( "\n" ); document.write( "76 * 12 = 912\r \n" ); document.write( "\n" ); document.write( "Next, find the length of the track.\r \n" ); document.write( "\n" ); document.write( "3.14 * 912 = 2865\r \n" ); document.write( "\n" ); document.write( "Next, divide the distance by the number of revolutions of the wheel.\r \n" ); document.write( "\n" ); document.write( "59.7\r \n" ); document.write( "\n" ); document.write( "This is the distance traveled by one revolution of the wheel.\r \n" ); document.write( "\n" ); document.write( "This distance = pi * the diameter of the wheel.\r \n" ); document.write( "\n" ); document.write( "59.7 / pi = 19 inches for the diameter of the wheel.\r \n" ); document.write( "\n" ); document.write( "The reason they multiplied by 12 is to have the calculations of the equation put into inches instead of feet. \n" ); document.write( " |