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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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I believe the answer would be 17×6 - 6(9+14)(6)/2 = 102 -414 = -312 but i am not 100% Sure!! Sorry if I am wrong!

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3 years ago
Find an equation that is perpendicular to the x-axis and passes through the point (7,13)
rjkz [21]

Answer:

x = 7

Step-by-step explanation:

A line perpendicular to the x- axis is a vertical line parallel to the y- axis.

The equation of a vertical line is

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In ΔSTU, s = 4.6 inches, t = 1.8 inches and ∠U=118°. Find the length of u, to the nearest 10th of an inch.
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3 years ago
A rose garden is formed by joining rectangle and a semicircle, as shown below. The rectangle is 29 ft long and 21 ft wide. If th
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Answer:

The answer to your question is 116.53 ft

Step-by-step explanation:

Data

length = 29 ft

width = 21 ft

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Process

1.- Calculate perimeter of the rectangle and subtract 1 length

Perimeter of the rectangle = 2l + 2w - l

Perimeter of the rectangle = 2(29) + 2(21) - 29

                                            = 58 + 42 - 29

                                            = 71 ft

2.- Calculate the perimeter of a semicircle

Perimeter = 2πr/2 = πr

radius = r = 29/2

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Perimeter = (3.14)(14.5)

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3.- Calculate the total length of the fence

fence = 45.53 + 71

          = 116.53 ft

7 0
3 years ago
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