26 (2n +5) = [?] + Please help!!!!!!!!!!!

Use the scale factor to compare the perimeter and area of the original figure of the enlarged figure. Complete the statements ab

Reika [66]

Answer:

Part 1) The scale factor is 2

Part 2) The perimeter of the enlarged rectangle is 19 units

Part 3) The area of the enlarged rectangle is 19.5 square units (the area of the enlarged rectangle is 4 times the area of the original rectangle)

Step-by-step explanation:

we know that

A dilation is a non-rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeter is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

step 1

Find the scale factor

Let

z ---> the scale factor

$z=\frac{3}{1.5}=2$

step 2

Find the perimeter of the enlarged rectangle

Multiply the perimeter of the original rectangle by the scale factor

The perimeter of the original rectangle is

$P=2(1.5+3.25)=9.5\ units$

so

The perimeter of the enlarged rectangle is

$9.5(2)=19\ units$

step 3

Find the area of the enlarged rectangle

Multiply the area of the original rectangle by the scale factor squared

The area of the original rectangle is

$A=(1.5)(3.25)=4.875\ units^2$

so

The area of the enlarged rectangle is

$4.875(2^2)=19.5\ units^2$

The area of the enlarged rectangle is 4 times the area of the original rectangle

step 4

Find the value of b

Multiply the corresponding side of the original rectangle by the scale factor

$b=3.25(2)=6.50\ units$

Verify the perimeter of the enlarged rectangle

$P=2(3+6.50)=19\ units$ ----> is ok

Verify the area of the enlarged rectangle

$A=3(6.50)=19.5\ units^2$ ---> is ok

8 0

4 years ago

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Use the squared identities to simplify 2sin^2 x cos^2 x

guapka [62]

The given question is

$2sin^2 x cos^2 x$

Multiplying and divide by 2

$\frac{4sin^2 x cos^2 x}{2} =\frac{(2 sinx cos x})^2{2}=\frac{sin^2(2x)}{2}$

Again multiplying and dividing by 2

$\frac{2sin^2(2x)}{4}$

And

$2 sin^2(2x)=1-cos(4x)$

So we will get

$\frac{1-cos(4x)}{4}$

Correct option is D

3 0

4 years ago

Suppose you are purchasing a new car, and you decide to use a scoring model to decide among four options. What would be your top

dusya [7]

Answer:

The answer is explained below

Step-by-step explanation:

The steps to prioritize the mission with a scoring version are as follows:

Collection: This step consists of collecting and collecting all of the details associated with the mission.

Classification: This step consists of prioritization of the challenge based on a category method.

Verification: This step includes approval and verification of all classified projects.

They are then carried out in this order because these steps make certain safety, connectivity, integrity, cost-effectiveness, and right challenge implementation. Each step depends on the previous step. They are connected to every other; therefore, they are carried out in a particular sequence.

3 0

3 years ago

If 20 is added to one-third of a number, the result is the double of the number. What is the number?

Thepotemich [5.8K]

1/3 of an unknown number is 1/3x. The word "of" lets us know to multiply. So if we add 20 to that, and it is equal to double x (that is 2x), the equation looks like this:

1. Start by multiplying everything by 3 to get rid of the fraction and get 20 + 1/3x = 2x.
2. Now subtract an x from both sides and get 60 = 5x and x = 12.
So the answer is 12

3 0

3 years ago

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There are 5 yellow golf balls, 3 red golf balls, and 10 white golf balls in a bag. What are the odds of randomly choosing a yell

Juli2301 [7.4K]

Answer:

5/18

Step-by-step explanation:

5 0

4 years ago

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