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Katyanochek1 [597]
2 years ago
6

The solid below is dilated by a scale factor of 5. Find the surface area of the solid

Mathematics
2 answers:
professor190 [17]2 years ago
6 0

Considering the dilation, the surface area of the rectangular prism is of 0.432 units².

<h3>What is the surface area of a rectangular prism?</h3>

The surface area of a rectangular prism of dimensions l, w and h is given by:

Sa = lwh.

In this problem, the dilation means that all dimensions are divided by 5, hence they will be considered as:

w = h = 0.6, l = 1.2.

Hence the surface area of the prism will be of:

Sa = lwh = 1.2 x 0.6 x 0.6 = 0.432 units².

More can be learned about the surface area of a rectangular prism brainly.com/question/21208177

Vesna [10]2 years ago
3 0

The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

The solid below is dilated by a scale factor of 5. Hence:

New length = 6 * 5 = 30, new width = 3 * 5 = 15, new height = 3 * 5 = 15

Surface area = 2(30 * 15 + 30 * 15 + 15 * 15) = 2250 unit²

The surface area of the solid created upon dilation by a factor of 5 is 2250 unit²

Find out more on equation at: brainly.com/question/2972832

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Lin's Job pays $8.25 an hour plus $10 of transportation allowance ench week. She has to work at least 5 hours a work to keep the
marshall27 [118]

Answer:

x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

Step-by-step explanation:

Let Lin works x hours per week.

Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week to $175 per week.

So, the inequality that can be written from the above condition is x ≥ 5 .......(1)

And the equation that can be written that  

8.25x + 10 = 175 ....... (2)  

Now, fro equation (2) we can write x = 20 hours which satisfies equation (1).

5 0
3 years ago
The sum of five consecutive positive integers is 2020. Find the largest of these numbers.
lawyer [7]

Answer:

406

Step-by-step explanation:

Five consecutive positive integers = x, (x+1), (x+2), (x+3), (x+4)

x + (x+1) + (x+2) + (x+3) + (x+4) = 2020

5x + 10 = 2020

5x = 2020-10

5x = 2010

x = 2010÷5

x = 402

The largest of the number is = x+4

x+4 = 402 + 4 = 406

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2 years ago
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Answer:

step 1: x2−5x+6<0

step2: (×-2) (+-3) =0

answer would be: 2<x<3

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