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Allushta [10]
2 years ago
12

A prism is dilated by a factor of 1. 5. How many times larger is the volume of the resulting prism than the volume of the origin

al prism? Enter your answer as a decimal in the box.
Mathematics
1 answer:
andre [41]2 years ago
3 0

The volume of the resulting prism is 3.375 times of original volume.

<h3>What is a dilation or scale factor?</h3>

The factor by which the dimensions of an object are enlarged is called the scale factor.

Let us take the base area of Prizm = a²

Height of the prism = h

Enlarged area = (scale factor)² * previous area

Enlarged area = 1.5²*a² = 2.25a²

Enlarged height = 1.5h

So, enlarged volume = enlarged area* enlarged height

Enlarged volume= 2.25a²*1.5h = 3.375a²h

Enlarged area/previous area = 3.375a²/a² = 3.375

Therefore, the volume of the resulting prism is 3.375 times of original volume.

To get more about dilation visit to:

brainly.com/question/10253650

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Can someone please help?
Kaylis [27]

Hey there!

The answer is C.

First of all, let's assign variables. We can use t for tricycles and b for bicycles.

Next let's look at the first statement:

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"At most" means the number 12 will be included in the inequality, so the sum of b and t is at most 12.

We can write this as b + t ≤ 12.

Now we can look at the second statement:

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"At least" means the number 17 will be included in the inequality.

Since each bicycle has 2 wheels and each tricycle has 3 wheels, the sum of 2b and 3t is at least 17.

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Write a linear function f with the<br> values f(0) = 6 and f(4) = -6.
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Answer:

f(x) = -3x + 6

Step-by-step explanation:

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it can also be written as (x , f(x))

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f(x) = -3x + 6

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3 years ago
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