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7nadin3 [17]
3 years ago
6

An open box is to be made from a flat square piece of material 19 inches in length and width by cutting equal squares of length

x from the corners and folding up the sides. (a) Write the volume V of the box as a function of x. Leave it as a product of factors; you do not have to multiply out the factors.
Mathematics
1 answer:
amm18123 years ago
7 0

Answer:Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )

Step-by-step explanation:

Given

Length is 19 in of original box so required length of square box is 19-2x

as width is also equal to length of box

therefore width=19-2x in.

height of box =x in.

Volume =length\times width\times height

Volume=\left ( 19-2x\right )\left ( 19-2x\right )\left ( x\right )

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The <em><u>correct answers</u></em> are:

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Explanation:

Supplementary angles are angles whose measures sum to 180°.  Thus this is the first answer.  

Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.

We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.  We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.

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3 years ago
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A rectangular plot of ground is 10 meters longer than it is wide. It’s area is 20,000 square meters what equation will help find
kow [346]
If x=width, then the equation would be:

x(x+10)=20,000

The length is 10 meters longer than the width(x), so the length is x+10.
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Hope this helps.


3 0
3 years ago
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Step-by-step explanation:

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7 0
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Galina-37 [17]

Answer:

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Step-by-step explanation:

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