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3 years ago

7

There are four solutions for 61. Three of them are: 61 = 72 + 22 + 22 + 22 , 61 = 52 + 42 + 42 + 22 and 61 = 62 + 52 .What are t

he square numbers that make up the fourth solution for 61.

1 answer:

laila [671]3 years ago

6 0

61 = 36 + 16 + 9 = 6² + 4² + 3²

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Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

<em><u>Verify each statement</u></em>

<em>A) Each pack of folders has a volume of 60 cubic inches.</em>

The statement is True

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

<em>B) The box has a volume of about 720 cubic inches</em>

The statement is True

Because

The volume of the box is equal to the volume of one pack of folders multiplied by 12

so

$V=(12)60=720\ in^{3}$

<em>C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches</em>

The statement is False

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}$

$900\ in^{3}\neq 1,200\ in^{3}$

<em>D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.</em>

The statement is True

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}$

$1,200\ in^{3}= 1,200\ in^{3}$

<em>E) Each pack of folders has a volume of 24 cubic inches.</em>

The statement is False

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

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A city received 18 inches of rain during the first 3 months of the year. If it continues to rain at this rate, how many inches o

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Answer:

72

Step-by-step explanation:

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The measure of the third angle in the triangle is 104 degrees

<h3>How to determine the measure of the third angles?</h3>

Let the three angles in the triangle be x, y and z.

Such that:

x = 51

y = 25

The sum of angles in a triangle is 180 degrees.

So, we have:

x + y + z = 180

Substitute known values

51 + 25 + z = 180

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76 + z = 180

Subtract 76 from both sides

z = 104

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Read more about triangles at:

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4% of $57.84
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