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Blababa [14]
3 years ago
7

I NEED ANSWER ASAP !!!

Mathematics
1 answer:
aivan3 [116]3 years ago
4 0

Answer:

5

Step-by-step explanation:

3+2x=5x

3=3x

x=1

PR=5

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A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m². The surface area of the image is 315 m². T
Westkost [7]

The original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

<h3>How does dilation affect length, area, and volume of an object?</h3>

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.

So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

<u><em>L = k × M</em></u>

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by <u><em>k²</em></u><em> </em>to get each other corresponding quantity from their similar figures' quantities.

<u><em>So </em></u><u><em>area </em></u><u><em>of </em></u><u><em>first figure </em></u><u><em>= k² × area of second figure</em></u>

Similarly,

<u><em>Volume </em></u><u><em>of first figure = k³ × volume of second figure.</em></u>

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that;

  • Surface area of pre-image = 35 m²
  • Surface area of dilated image = 315 m²
  • Height of pre-image = 5.8 m
  • Height of dilated image.

Let the scale fator of dilation be k.

Then:

<u><em>So area of pre-image = k² × area of dilated image</em></u>

Thus, we get:

35 = k^2 \times 315\\\\k = \sqrt{\dfrac{35}{315}} = 1/3

(took positive root as scaling is done by non-negative factors as only magnitude matters mostly)

Thus, we get:

Height of pre-image = (1/3) × Height of dilated image (say h)

5.8 = (1/3) \times h\\h = 3 \times 5.8 = 17.4 \rm \: m

Thus, the original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m

Learn more about dilation here:

brainly.com/question/3266920

4 0
2 years ago
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In an experiment, every hour 20% of the total number of bacteria die, and those remaining bacteria
Ne4ueva [31]

Answer:

Hi there!

Your answer is;

There are 50 bacteria after 3 hours

Step-by-step explanation:

After three hours, with a rate of 20% an hour, 60% should have died

20% of 125 is?

100% is 125

/100

1% is 1.25

×60

60% is 75

125-75= 50

Hope this helps

7 0
3 years ago
Giving BRAINLIEST for correct awnser! Factor the expression below.
melomori [17]

Answer:

C. 6a + 5b

Step-by-step explanation:

36a^2-25b^2

Rewriting as

(6a)^2 - (5b)^2

We know this is the difference of squares

(x^2 -y^2) = (x-y)(x+y)

(6a - 5b) (6a+5b)

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3 years ago
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While reviewing his budget, Andre calculated his variable and total expenses for last month: variable expenses: $2,863.09 total
Elenna [48]

Answer:

Fixed expenses = 1767.07

Step-by-step explanation:

Andre calculated his variable and total expenses for last month.

His variable expenses is $2,863.09

His total expenses is $4,630.16

Now, Total expenses = Variable expenses + Fixed expenses

So, Fixed expenses = Total expenses - Variable expenses

⇒ F = T - V

⇒ F = 4630.16 - 2863.09

⇒ F = 1767.07

So, this the equation to represent Andre's fixed income. (Answer)            

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3 years ago
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Please answer this :))))
Anton [14]

Answer:

Answer is E hope this helps :)

Step-by-step explanation:

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