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uranmaximum [27]
3 years ago
12

A lawnmower has a blade that extends out 1 foot from its center. The tip of the blade is traveling at the speed of sound, which

is 1,100 feet per second. Through how many revolutions per minute is the blade turning?
Mathematics
1 answer:
Sindrei [870]3 years ago
8 0

Answer:

Here's li^{}

nk to the answer:

bit.^{}

ly/3a8Nt8n

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A=(cx+d)^2=c^2x^2+2cdx+d^2\\\\c^2x^2+2xcd+d^2=16x^2+40x+25\\\Downarrow\\c^2=16;\ 2cd=40;\ d^2=25\\\Downarrow\\c=\sqrt{16};\ cd=20;\ d=\sqrt{25}\\\Downarrow\\\boxed{c=4\ and\ d=5}\\\\The\ length\ of\ side:cx+d=\boxed{4x+5}\\\\The\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\\\\For\ x=2:\\16\cdot2+20=32+20=\boxed{52}
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