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.

Learn more about dilation here:

https://brainly.com/question/13176891?referrer=searchResults

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Related Questions

What is the measure of angle C?

Answers

Answer:

49°

Step-by-step explanation:

First, solve for x.

3x-7+2x+17=90

5x+10=90

5x=80

x=16

Then put 16 in for x.

2(16)+17=

32+17=49

which equation best matches the graph ?

Answers

bottom right equation is correct

11 quarts of soil are used to completely fill 5 flower pots. If each pot is filled with the same amount of soil, how many quarts will each pot hold?

Answers

2.2 quarts
11 quarts/5 pots = 2.2 quarts

20 POINTS
Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Five minutes later, the tank contains 5 gallons of water.

At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.

How many more minutes will it take for the tank to drain completely? Explain or show your reasoning.

How many minutes before Jada arrived was the water tank completely full? Explain or show your reasoning.

Answers

It is empty a gallon every two and a half minutes so 2 1/2x x=gallons of water

it will take 12 1/2 minutes to completely empty since it takes 2 1/2 minutes per gallon.

the tank was full 7 1/2 minutes before Jada arrived. 10-7= 3 so it emptied 3 gallons before Jada arrived. It takes 2 1/2 mins for a gallon to empty so 2 1/2 times 3 equals 7 1/2 mins

What is the degree of the monomial?

Only write the numerical value as your answer.

8x^3

Answers

Responder:

1

Explicación paso a paso:

cuando una variable no tiene exponente, el grado siempre es uno. Ej: 8x es lo mismo que 8x elevado a 1

Ainsley thought there were 25 students in her math class, but there were actually 27 students. What is her percent error?

Answers

Answer:

92.592592592593%

Step-by-step explanation:

used a calculator

Answer:

92.59%

Step-by-step explanation:

25/27=0.925925

0.925925*100= 92.59

solve for m and b

(5,14) and (3,10)​

Answers

Y=mx+b

Y1-Y2/X1-X2

14-10/5-3 = 4/2 = 2


Plug in (3,10):
(10)=2(3)+b

Solve:
10=6+b

B=4
M=2

For each sequence, determine whether it appears to be arithmetic.
If it does, find the common difference.
look at pictures plss helppp asap

Answers

I cant see the pictures

i dont really understand... it says to use vertical angle theorem​

Answers

Answer:

The virtical angle theorem is that virtical angles are congruent, or equal. A vertical angle is like the angles in an X.  The opposite angles are congruent, like in the picture, it is the unknown angle and the angle touching it.

The dimensions of a triangle with base 10 in. and height 4.8 in. are multiplied by 4. How is the area affected?​

Answers

Answer:

It gets 4 times larger.

Step-by-step explanation:

Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?

4.42

Answers

Answer:

Its false

Step-by-step explanation:

4.42 the .42 the 2 is under 5 so it would round up.

significant figures of 5.50​

Answers

All 3 are significant so the answer is 3

Solve the equation 8x - 10 = 4x

Answers

Answer:

x = 2.5

Step-by-step explanation:

8x - 10 = 4x

=> 8x - 4x = 10

=> 4x = 10

=> x = 10 / 4

=> x = 2.5

Hope it helps :)

Please mark my answer as the brainliest

How many lines of symmetry does this figure have
A 1
B, 2
C. 3
D, 4

Answers

Answer:

A.1

Step-by-step explanation:

Trapezoids only have one vertical line of symmetry

there is only 1 line of symmetry

What the answer for 10% of 50

Answers

Answer:

5

Step-by-step explanation:

10% of 50 is equal to 5.

50 ÷ 10 = 5

50 divided by 10 =5 is the answer I think

Find the product. 2 4/10 =

Answers

Answer: 2 2/5 is answer decimal answer is 2.4

Step-by-step explanation:

hope this helpss!!

Sam has 2 pounds of blueberries. Ben also has some blueberries. Together, they have 4 pounds of blueberries
Part A
Create an equation to represent the number of pounds of blueberries, b, Ben has.

Answers

Answer

Sam has 2 pounds of blueberries. Ben bought 2 more and together, they have 4 pounds of blueberries!!!

Step-by-step explanation:

A cylinder and its dimensions are shown in the diagram.
Which equation can be used to find v, the volume of the cylinder?
5 in.-
A v = 7(2.5h)
B v = (5h)?
ע
C v= *(2.5) n
Dv = (5)n
h in.
What is the volume of the cylinder? Round to the nearest tenths. Show your work.

Answers

Answer:

C. V = π(2.5)²h

Volume = 19.6h

Step-by-step explanation:

Radius (r) of cylinder = ½ of 5 = 2.5 in.

Height (h) = h in.

Volume of a cylinder = πr²h

Equation that can be used to find B:

Plug in the values into the volume formula

V = π(2.5)²h

Volume = 19.6h

Find the sum by first making the denominators the same

Answers

Answer:

20/100+36/100

Step-by-step explanation:

so what I did is I mulpiyed 10 to 2/10 so that bottom numbers are both the same

What is the answer to this?

Answers

The answer is b!!!!!

5 subtracted from 1/3 of 20

Answers

Answer:

1.666666667

Step-by-step explanation:

1/3 of 20 is 6.66666667

5-6.66666667 is -1.666666667

hope this helps :)

Answer:

≈1.7

Step-by-step explanation:

1/3(20)-5

≈6.7-5

≈1.7

Which of the following has no effect on the monthly payment?
A. Length of buyer's driving record
B. Numbers of months the car is expected to be financed
C. Down payment
D. Interest rate

Answers

Answer:

length of buyers driving record

Step-by-step explanation:

it just is because the driving record has nothing to do with monthly payments

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

Micah buys 10 pens for every 2 pencils. Rachel buys 12 pens for every 3
pencils. Are their ratios of pens to pencils bought equivalent?

Answers

Answer:

no

Step-by-step explanation:

micah

10: 2

5:1

rachel

12: 3

4:1

5^2+b^2=13^2 steps to solve

Answers

Answer:

b=12 or b=−12

Step-by-step explanation:

Answer:

Raise 5 to the power of 2.

25+b^2=132

Raise 13 to the power of 2.

25+b^2=169

Move all terms not containing b to the right side of the equation.

b^2=144

Take the square root of both sides of the equation to eliminate the exponent on the left side.

b=±√144

The complete solution is the result of both the positive and negative portions of the solution.

b=12,−12

Find the missing length.
C =
✓ [?]
C
1
8
Pythagorean Theorem: a? + b2 = c2
Enter

Answers

Answer: [tex]\sqrt{65}[/tex]

Step-by-step explanation:

[tex]a^2+b^2=c^2\\1^2+8^2=c^2\\65=c^2\\c=\sqrt{65}[/tex]


10 points
2) n - (1 -m): use m = 1, and n= 5

Answers

Answer:

0

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The answer is 6 b/c 1 . -1 =  -1 and then you do 5- -1 and that is 6 soooooooooo

yeah :3

Someone help please
2. Gerald was given the following problem to solve for the length of the “?”. He has made a mistake in his work. Identify and describe how he made his mistake. Then, solve the problem correctly.

Answers

Answer:

The 14 should be 14-x.

x=6

Step-by-step explanation:

The 14 should be 14-x

24/(14-x)=18/x

24x=18(14-x)

24x=252-18x

24x+18x=252

42x=252

x=252÷42=6

Please this is due in 52 minutes...

Please don’t answer this with one answer, blank or ridiculous answer this is serious....

Answers

Answer:

Angle S has a measure of 50°

Step-by-step explanation:

When comparing the angles of a triangle, they are written with the matching angles in the same order. (sorry for bad explanation here)

You have ∆ QRS as congruent to ∆ XYZ. This means angle Q is congruent to angle X, angle R is congruent to angle Y, and angle S is congruent to angle Z. As you can see in ∆ XYZ, angle Z is 50°. Therefore, angle S and angle Z are both 50° (but only angle S is an option)

A ladder that is 10 feet long is up on the wall at a height of 8 feet. How far is the bottom of the ladder from the wall? (Answer should be rounded to the nearest tenth if necessary. no units! thanks)

Answers

Answer:

2 feet

Step-by-step explanation:

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