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3 years ago

In a dilation with a scale factor of 3/4, the image is __________ the preimage.

Mathematics

1 answer:

katrin2010 [14]3 years ago

3 0

The answer would be 75% of the original image!

Hope this helps

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PLS HELP 50 POINTS

PtichkaEL [24]

Answer:

$\text{Volume of prism made by }\Delta XYZ=2304\text{ in}^3$

Step-by-step explanation:

Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by triangle XYZ.

Let us find the proportion between the sides of both triangles.

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{24}{36}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{12*2}{12*3}$

$\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{2}{3}$

Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.

So we can set proportion for volume of both prisms as:

$\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=(\frac{2}{3})^3$

$\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=\frac{8}{27}$

Upon substituting volume of prism made by triangle PQR we will get,

$\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{in}^3}=\frac{8}{27}$

Let us multiply both sides of our equation by 7776 cubic inches.

$\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{ in}^3}*7776\text{ in}^3=\frac{8}{27}*7776\text{ in}^3$

$\text{Volume of prism made by triangle XYZ}=8*288\text{ in}^3$

$\text{Volume of prism made by triangle XYZ}=2304\text{ in}^3$

Therefore, the volume of prism made by triangle XYZ is 2304 cubic inches.

7 0

3 years ago

Can someone help pleasere

galben [10]

C=-3. (2c)^3
(2(-3))^3
(2-3)^3
(-1)^3
-1*-1*-1=
-1

4 0

2 years ago

Ms. Clint is comparing the sales of sweaters and gloves at her store for the past ten winter weeks. Select the true statement ba

lianna [129]

Answer:

i would say b

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLZ HELPPP WHATS THE ANSWER??

Nuetrik [128]

Length = 3cm
Volume = length x width x height

5 0

2 years ago

What is equivalent to 2 5/6 A) 12/5 B) 17/6 C) 5/3 D) 7/6

KatRina [158]

B) 17/6

First I multiply 2 times 6 which gave me 12 then I added 12 plus 5 which gave me 17 then I used the number at the bottom which is 6 so the final answer was 17/6

5 0

3 years ago