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astraxan [27]
3 years ago
11

The volume of a gift box is 972 in³. The height of the gift box is 12 inches and the area of the base is 81 in². If the base sha

pe is a square, what is the length of each side of the square base? *
Mathematics
1 answer:
seraphim [82]3 years ago
3 0

Answer:

9 inches

Step-by-step explanation:

Volume is the product of cross sectional area and height.

V=Ah

Where A is area of base and h is height

Given that the base is square, the area of square is given by A=b*b

Xonsidering that the area is given as 81 square inches then

b*b=81

b is the square root of 81 which is +9 or -9

Since base must be positive interger, then base is 9 inches

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Lana71 [14]
The expression can be written as 10.5^{2}.

The area of the square is then 110.25 inches squared.
8 0
3 years ago
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Nadia spent 1/4 of her money on a shirt and 2/5 of her money on new shoes. What fraction of Nadias money was spent?
Ulleksa [173]

Answer:

13/20 of her money was spent.

Step-by-step explanation:

To find the answer you have to add these two fractions together, and to do that you must find a common denominator.

For this problem I chose to use 20 for the denominator since it is the smallest number that both 4 and 5 have in common.

Keep in mind that, whatever you do to the denominator, you must also do to the numerator, so if you multiply 5 by 4, you must also multiply 2 by 4.

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8 0
3 years ago
Please ΔEFU ~ ΔVWU. Find the length of UF.
koban [17]
<h3>Answer: UF = 11</h3>

=======================================================

Explanation:

In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU

So EU/VU is one ratio

The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW

Set the ratios equal to each other and solve for x

EU/VU = UF/UW

7/35 = x/55

7*55 = 35*x ... cross multiply

385 = 35x

35x = 385

x = 385/35 .... divide both sides by 35

x = 11

UF = 11

------------

Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7

That must mean WU = 55 must also be 5 times larger compared to UF = x

So,

WU = 5*UF

55 = 5x

5x = 55

x = 55/5

x = 11

UF = 11

This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.

4 0
4 years ago
Help please
Hunter-Best [27]

Answer:

7

Step-by-step explanation:

6 0
3 years ago
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