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Marizza181 [45]
3 years ago
9

Find the approximate surface-area-to-volume ratio of the Moon. The radius of the Moon is 1,080 miles. A. 0.0009 B. 0.0028 C. 360

D. 3,240
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0
We know that
surface area of a sphere=4*pi*r²

volume of a sphere=(4/3)*pi*r³

the ratio surface area to volume
=4*pi*r²/[(4/3)*pi*r³]-----> 3/r----> 3/1080-----> 0.0028

the answer is
the option <span>B. 0.0028 </span>
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Answer: 10, 11 and 12.

Step-by-step explanation:

This translates to:

Find the natural numbers of two digits that fulfill the condition that when triple and decreased in 5, is less than the double increased in 8?

suppose that A is our number of two digits, this means that:

3*A - 5 < 2*A + 8

It makes sense to start with the smaller number of two digits, 10.

3*10 - 5 < 2*10 + 8

25 < 28

this is true.

Now let's check the next one, 11.

11*3 - 5 < 2*11 + 8

28 < 30

This is true again, now let's try with the next one, 12.

3*12 - 5 < 2*12 + 8

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This is true again, now let's find the last one.

3*13 - 5 < 2*13 + 8

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this is not true, so the numbers that fulfill the condition are 10, 11, and 12.

A faster way to prove it is, suppose that both sides of our inequality are equal, then find the value of A.

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3*A - 2*A = 8 + 5 = 13

A = 13

This means that any number of two digits less than 13 fulfills the condition, those numbers are 10, 11, and 12.

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c)
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d)
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