Explain the importance of using the square of the scale factor to calculate the area of a dilated figure

Answers

Answer 1

Answer:

2

Step-by-step explanation:

2+2=4 therefore 2x2 also equals 4, 4/2=2.

Answer 2

In mathematics and geometry, a dilation is an enlargement in size or a reduction in size of a mathematical object. We perform a dilation of a square by placing the shape on a coordinate plane and multiplying each of the coordinates of the vertices of the square by the same number, called the scale factor. This can also be achieved by multiplying the lengths of each of the sides of a square by the scale factor.

When we dilate a square by a scale factor of k, its sides increase by a factor of k, its area by [tex]k^{2}[/tex], and its volume by [tex]k^{3}[/tex].

So, this is the importance of using the square of the scale factor to calculate the area of a dilated figure.

What is Square?

Square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram (an equilateral and equiangular one).

What is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

What is dilation?

In mathematics and geometry, a dilation is an enlargement in size or a reduction in size of a mathematical object. We perform a dilation of a shape by placing the shape on a coordinate plane and multiplying each of the coordinates of the vertices of the shape by the same number, called the scale factor.

According to question, we have to explain  the importance of using the square of the scale factor to calculate the area of a dilated figure.

When we dilate a square by a scale factor of k, its sides increase by a factor of k, its area by [tex]k^{2}[/tex], and its volume by [tex]k^{3}[/tex].

In mathematics and geometry, a dilation is an enlargement in size or a reduction in size of a mathematical object.

We perform a dilation of a square by placing the shape on a coordinate plane and multiplying each of the coordinates of the vertices of the square by the same number, called the scale factor.

This can also be achieved by multiplying the lengths of each of the sides of a square by the scale factor.

Hence, these are the importance of using the square of the scale factor to calculate the area of a dilated figure.

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Related Questions

Can you guys help me on question eight?!

Answers

Answer: Car Rental Company A and B

Step-by-step explanation: Everyone else charges higher prices! Good luck! :D

In a population of 2000 students, 230 are left-handed. A random sample of size
50 is selected and the number of left-handed students is recorded. If we
collected many more samples, which of the following could describe the
sampling distribution?

Answers

11.5% is the correct answer

Solve the inequality for x and identify the graph of its solution.
[1x + 1]< 2
Choose the answer that gives both the correct solution and the correct graph.

Answers

Answer:

x<1

Step-by-step explanation:

[1x + 1]< 2

Simplify both sides of the inequality.

x+1<2

Subtract 1 from both sides.

x+1−1<2−1

x<1

Answer:

x<1

On the graph line, the circle is open on number 1 and is going left

9x -1 = 80
A -10
B 9
C 10
D -9

Answers

Answer:

The answer is B!

Step-by-step explanation:

Add 1 to both sides, then divide 80 by 9!

Zoey's dog has a water bowl with a diameter of 6 inches. Sam's
dog has a water bowl with a diameter of 10 inches. What is the
approximate difference in the circumference (distance around)
ut of the two water bowls?

Answers

Answer:

12.56 inches

Step-by-step explanation:

Circumference: C = 2*pi*r

I will be using 3.14 in place of pi

Divide the diameters by 2, so 3 for Zoey and 5 for Sam

Multiply (2*3.14*3) and (2*3.14*5)

For Zoey you get 18.84 and for Sam you get 31.4

31.4-18.84= 12.56 in difference

A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. she selects a random sample of 49 trucks and finds a mean of 15.8 tons with a sample standard deviation of 3.85 tons. the 90 percent confidence interval for the population mean is:

Answers

Answer:

14.90 to 16.70 tons

Step-by-step explanation:

We are given;

Sample size; n = 49

Mean; x¯ = 15.8

Sample standard deviation; s = 3.85

At 90% Confidence interval, z = 1.645

Formula for confidence interval is;

CI = x¯ ± z(s/√n)

Thus;

CI = 15.8 ± 1.645(3.85/√49)

CI = 15.8 ± 0.90

CI = 14.90 to 16.70 tons

5×70=5×(_×10)
5×70=(5×_)x10
5×70=_×10=_​

Answers

Answer:

7

7

35 * 10 = 350

Step-by-step explanation:

We have 5 * 70 split up into multiple ways, and we need to provide an answer at the end of it.

5 * 70 = 5 * (__ * 10)

We have to equal the value of 5 * 70 by inputting the missing number.

What times 10 equals 70?

7.

5 * 70 = (5 * __) * 10

This goes for the same as the one before, what times 5 equals 5 * 70 to the same amount?

7.

5 * 70 = __ * 10 = __

Now for the final part, we take the information from before and implement to here, what is 5 * 7?

35.

Now do 35 * 10 :

35 * 10

350

A zookeeper is 6 feet tall. A young giraffe in his care is 9 feet tall.
1. How many times as tall as
the zookeeper is the giraffe?
2. What fraction of the giraffe's
height is the zookeeper's height?
(Pls help due in 40 minutes)

Answers

Answer:

Step-by-step explanation:

The giraffe is 3 times taller than the zookeeper. 2/3 the height.

How does the graph of g(x)=(x-1)^3+5 compare to the parent function f(x)=x^3

Answers

Answer:

it is one to the right and 5 up compared to its parent function.

Step-by-step explanation:

the (x-1)3 means that the graph is shifted one to the right and the + 5 means that you have to shift the garph 5 up also.

Which set of ordered pairs satisfies the equation
f(x)=7x+20

Answers

Answer:

The 2nd one

Step-by-step explanation:

2 one I think sorry if I’m wrong

5 x (h + 3) for h = 7
Evaluate the expression

Answers

Answer:

ummm im so sorry but i forgot while answering

Step-by-step explanation:

opps

The answer is 50x
Your welcome

Someone please help!! 50 points! I have no idea how to do these so If someone could please give the steps and answer it would be greatly appreciated!

Answers

Answer:

3. 97*

4. 43*

5. 4*

6. E = 15*

Step-by-step explanation:

14 divided by 2 = 7 + 90 = 97

5 divided by 2 = 2.5 rounded to nearest tenth makes 3 + 40 = 43

8 divided by 2 = 4 -AB = 4B

DE3* x EF5* = 15

Answer:

MK = 7, DE = 4.2, m∠B = 48°, sin (E) = 4/5

Step-by-step explanation:

Question 3

This is a 30° right triangleMK is opposite to 30° angle ⇒ LK = 2MK ⇒ MK = 14/2 = 7

Question 4

FE = 5m∠F = 40°DE/FE = tan (F)DE = 5 tan (40°) = 4.2 (rounded)

Question 5

AB = 8AC = 12cos (B) = 8/12 = 2/3m∠B = arccos (2/3) = 48° (rounded)  

Question 6

sin (E) = DF/EF = 4/5

Solve for x.

Your Answer:
Question 3 options:

Answer

Answers

The answer to this question is x=1.6.
your answer is x=1.6

2+2-3+70-32+454-10-40=

Answers

Answer:

443

Step-by-step explanation:

Answer:

449

Step-by-step explanation:

a farmer has horses and cows if the radio of horses to cows is 3 to 5 and there are 15 horses how many animals are there

Answers

Answer:

Step-by-step explanation:

h/c=3/5=15/c

c=25, 25+15=40 animals

What is the value of
7/3 divided by 5/6

Answers

Answer:

multiply the dividend denominator by the divisor numerator to make a new denominator:

7 x 6

3 x 5

 =    

42

15

Thus, the answer to 7/3 divided by 5/6 in fraction form is:

42

15

 

To make the answer to 7/3 divided by 5/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

42/15 = 2.8

The answer is rounded to the nearest four decimal points if necessary.

42/15 can be simplified to 14/5.

14/5 is an improper fraction and should be written as 2 4/5.

Step-by-step explanation:

42/25 = 2 4/5 = 2.8 is the value of 7/3 divided by 5/6 .

Here, we have,

given that,

7/3 divided by 5/6

so, we get,

7/3 / 5/6

=7/3 x 6/5

multiply the dividend denominator by the divisor numerator to make a new denominator:

7 x 6/3 x 5

= 42/15

Thus, the answer to 7/3 divided by 5/6 in fraction form is:

42/15

To make the answer to 7/3 divided by 5/6 in decimal form, we simply divide the numerator by the denominator from the fraction answer above:

42/15 = 2.8

The answer is rounded to the nearest four decimal points if necessary.

42/15 can be simplified to 14/5.

14/5 is an improper fraction and should be written as 2 4/5.

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In what quadrant are the eyeglasses

Answers

Answer:

3rd Quadrant

Step-by-step explanation:

Hope the above solution will help you

The eyeglasses are in quadrant 4. The chart goes to the right, the first quadrant begins at the top left, goes to the top right (2nd quadrant) and then goes down to the bottom right (3rd quadrant) and then goes left to the bottom left (4th quadrant)

Ana read 7 books. Each book had 5 chapters. She read the same amount of chapters every day for "n" days

Answers

is there more to the question i can’t figure it out what i’m supposed to be solving
Hi pan I have no no clue why lol is a

If y varies directly as x, and y = 7 when x = 3, find y when x = 7

Answers

Answer:

AStep-by-step explanation:

Direct variation, by definition, has the form shown below:

y=kx  

Where k is the constant of proportionality.

Given the information in the problem, you can find k:

7=3k

k=7/3

Now you can find y when x=7 as following:

y=(7/3)x

Substitute values.

y=(7*7)/3

y=49/3

what is the sum of one and the product of one and a number

Answers

Answer:

the answer for this problem is 1 +×

Step-by-step explanation:

you must frame the equation with a number x

after that you have to translate the x into the equation and it can be written as

1×(1× ×)=1+×

Helpppppp plssss



Consider the numbers z= 2 + 5i, w = -3- 2i, and u=-1+2i.
z+w is equal to -1+vi
w-u is equal to - 4i
u + w is equal to -4 -

Answers

Answer:

Step-by-step explanation: 4i = i4 so divide that into one half and you get 4r

Answer:

3, 2, 0

Step-by-step explanation:

just trust me

3. The completion of a construction job may be delayed because of a strike. The probabilities are 0.60 that there will be a strike, 0.85 that the construction job will be completed on time if there is no strike, and 0.35 that the construction will be completed on time if there is a strike. What is the probability that the construction job will be completed on time

Answers

Answer:

0.55 = 55% probability that the construction job will be completed on time

Step-by-step explanation:

We have these following probabilities:

0.6 probability there is a strike. In this case, 0.35 probability that the construction will be completed on time.

1 - 0.6 = 0.4 probability that is not a strike. In this case, 0.85 probability that the construction will be completed on time.

What is the probability that the construction job will be completed on time?

[tex]p = 0.6*0.35 + 0.4*0.85 = 0.55[/tex]

0.55 = 55% probability that the construction job will be completed on time

Which of the following is something a lender will not consider when reviewing your loan application?
a collateral
b. family size
c. credit score
d. debt-to-Income (DTI) ratio

Answers

Answer:

B family size

Step-by-step explanation:

The lender will not consider family size when reviewing your loan application.

What is Loan application?

Loan applications could be declined for so many reasons. However, in a situation where an application is not granted, it is good to find out the reasons behind the decision so as to avoid repeating such in subsequent applications.

Another step to be taken after the denial of the application is to look for an alternative lender and make another application.

One may also need to improve on the application to avoid another denial this time around.

Since Lenders have different risk appetites and preferences. What one lender tells about your creditworthiness is not necessarily what another will. They may view your finances as well enough to apply.

Learn more about the Loan application;

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Use the figure to complete the statements point is the center of rotation the rectangle EFGH is rotated 90° around the origin in direction

Answers

Answer:

1. Point C

2. a clockwise

Step-by-step explanation:

Got the question right

Answer:

correct answer below

Step-by-step explanation:

The attendance at a new weekly exercise class doubled each week until week 4, when it reached its maximum capacity of 24 people

Answers

Answer:

Half Maximum capacity a week 3. And the class started off with 3 people.

Step-by-step explanation:

units digit in (126^2)​

Answers

Answer:

The unit digit of (126²) is 6

Answer:

That would be 6.

Step-by-step explanation:

Here it is.

8 1/5-2 7/8 fractions

Answers

i removed my answer because it was wrong look at the other peoples answers

Answer: 213/40 or 5.325

Step-by-step explanation:

We can find common denominators for 8 1/5 and 2 7/8.

The Lowest Common Denominator for 8 1/5 and 2 7/8 is 40.

8 1/5 = 41/5 = 328/40.

2 7/8 = 23/8 = 115/40.

Now we can subtract.

328/40 - 115/40 = 213/40.

Therefore, the answer is 213/40 or 5 13/40.

“??.?.........what jsjsndjeisiis

Answers

Answer:

10 to the first power

Step-by-step explanation:

yea it should be

use square root property to solve for k
(k+5)= -24

Answers

Answer:

k= -29

Step-by-step explanation:

(K+5)=-24 move the constant to the right side and change it sign so now you have k=-25-5 and add them -25 + -5 = -29 so you’re answer it k=-29

Explain answer !!

( WILL GIVE BRAINLEST)

Answers

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Step-by-step explanation: It says it in the problem, and you can see they cross at 4 weeks

Answer:

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Step-by-step explanation:

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