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Serggg [28]
3 years ago
6

You cut a circular hole 1/4 -inch in diameter in a piece of cardboard. With the cardboard 30 inches from your face, the Moon fit

s exactly into the hole. The Moon is about 240,000 miles from Earth. Is the Moon's diameter more than 1,500 miles?
Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:

The Moon's diameter is greater than 1,500 miles

Step-by-step explanation:

we know that

1\ mile=63,360\ inches

1,500\ miles=1,500*63,360=95,040,000\ inches

240,000\ miles=240,000*63,360=15,206,400,000\ inches

by proportion

Find the Moon's diameter

Let

x-----> the Moon's diameter in inches

\frac{x}{15,206,400,000}=\frac{0.25}{30}\\ \\x= 15,206,400,000*0.25/30\\ \\x=126,720,000\ inches

Compare

126,720,000\ inches> 95,040,000\ inches

therefore

The Moon's diameter is greater than 1,500 miles

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