A circle with a radius of r units is dilated by a scale factor of 7 to create a new circle. Which statement about the area of the new circle is true?

A. The area of the new circle is 7 times the area of the original circle.

B. The area of the new circle is 14 times the area of the original circle.

C. The area of the new circle is 49 times the area of the original circle.

D. The area of the new circle is squared root 7 times the area of the original circle.

A Circle With A Radius Of R Units Is Dilated By A Scale Factor Of 7 To Create A New Circle. Which Statement

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

The scale factor can be defined as the ratio of new dimension of an object after scaling to the original  dimension. The are of the new circle is 49 times the area of the original circle. The correct answer is option C.

What is Scaling factor ?

Scaling factor is a conversion factor used to change the size of a figure without changing its shape. When the size of a figure is increased, it called scaled up and when it decreases it is called as scaled down.

Given that, Scale factor of circle = 7.

Since, the scale factor of a circle is the ratio of new radius to original radius.

The new radius of circle can be written as,

r' = 7r

Thus, the area of new circle is π × (r')^2= π × (49r^2).

Hence, the area of new circle is 49 times the original circle.

To learn more about Scale factor click on,

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Related Questions

A rectangular swimming pool measures 50 meters in length and 25 meters in width. A scale drawing of the swimming pool will be made where 1 centimeter represents 5 meters.

Answers

Answer:

the pool would be 10 cm by 5 cm

Answer:

The scale drawing would be 10 centimeters by 5 centimeters

Step-by-step explanation:

It's 1:5

If you multiply each side by 10, you get 10:50, that shows it'd be 10cm for the length and then you do the same for the width, 5:25, to get 5cm.

a gift box has dimensions of 8 1/2 inches 5 1/2 inches and 2 1/2 inches respectively how many cubes with side lengths of 1/2 inches would be needed to fill the gift box​

Answers

Find the volume of each and then divide the volume of the box by the volume of the cube.

Volume of box: 8 1/2 x 5 1/2 x 2 1/2 = 116 7/8 cubic inches.

Volume of cube = 1/2^3 = 1/8 cubic inches

Number of cubes: 116 7/8 / 1/8 = 935 cubes.

Ben and Blake both love to collect baseball cards. The ratio of cards that Ben has compared to the number that Blake has is 2:3. If Blake buys 500 more cards, he will have 3800 cards. How many cards does Ben currently own?

Answers

Answer:

2200 baseball cards

Step-by-step explanation:

30 POINTS


The equation h= -161 + 56t models the height h, in feet, of a golf ball t seconds after it was hit. Find the values of t for which h = 0. Explain the meaning of the solutions.

Answers

Answer:

After 4 seconds the the ball will hit the ground

that is the correct answer

Last question! BRAINIEST!

Answers

Answer:

Step-by-step explanation:

4x² + 6 = 40

4x² = 34

x² = 8.5

x = ±√8.5 ≈ 2.92

Consider the following sine regression model
y = 18.614 sin(0.521x - 1.984) + 76.900
Predict the value of y if x equals 30.

Answers

Answer:

93.3

Step-by-step explanation:

I got it right

Roy made 7 identical sundaes using 5 pints of ice cream. How much ice cream did Roy use for each sundae?

Answers

5/7 pints of ice cream each

Angel uses 1/8 cup of sugar for 1/3 of a recipe. How much sugar is needed if Angel makes the entire recipe twice?

plz tell me the steps

Answers

Answer:

3/4 cups

Step-by-step explanation:

1/8 for 1/3 refipe

1/8 * 3 = 3/8

3/8 for 1 whole recipe

3/8 * 2 = 6/8 = 3/4

3/4 for 2 whole recipes

Suppose a fair coin is tossed and the spinner below is spun one time. What is the probability of flipping heads and spinning a number greater than 2?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

2b +4= -8
29 - 6 = 4
3s – 4= 8


can some one pls help me with these 3 question pls ​

Answers

Answer:

b = (-6). 2×-6 + 4 = -8

9= 5. 2×5-6 = 4

s=4. 3×4 = 12 , 12-4 = 8

There were 845 students using Schoology in IRSD in 2017. In 2016 , there were 608 students using Schoology in the district.

51.5% of all users access Schoology on mobile devices. How many users used mobile devices in 2016?

Answers

313.120 (round as you would like)

Step-by-step explanation:

First you take the 51.5%, and divide it by 100, you should get 0.515. Now multiply with the 608 students, your answer should be 313.20, Ta Da!!! its right!!      P.S You should also round (to 313) Please make this brainliest

Answer:

THIS WEBSITE SUCKS MY

Step-by-step explanation:

F IT

GUYS I NEED HELP ASAP!!

Answers

I believe this is correct! Good luck :)

Theoretical Probability:

P(rolling a 2) = 16.7%

P(rolling a 5) = 16.7%

P(rolling 2 or 3) = 33.4%

P(greater than 4) = 33.4%

P(3 or less) = 50.1%

Experimental Probability:

P(rolling a 2) = 20%

P(rolling a 5) = 6%

P(rolling 2 or 3) = 36%

P(greater than 4) = 24%

P(3 or less) = 54%

Explanation:

Theoretical probability can be calculated based on the idea that each of the six numbers on the die has an equal chance of being rolled and all numbers' probabilities total to 100%. Experimental probability is based on the outcomes of your experiment (rolling the dice yourself).

When finding the probability of rolling a number or another number (for example, rolling a 2 or 3), just add the probabilities together (You rolled 2 ten times and 3 eight times, so the experimental probability of rolling a 2 or 3 is 18/50 = 36%)

plz help me/math giving brainlest

Answers

Answer:

1. 6

2. 40

3. 5

4. 50

5. 50

6. 5

Act. 2

1. 234

2. 123

3. 122

4. 343.

5. 111

Act. 3

Marcus gave each $120.

Brandon gets paid $9 each hour.

There are 20 boxes on each shelf.

The second page I'm not sure what that means.

Solve for t. You must write your answer in fully simplified form.
−19= 7t

Answers

Answer: dot know srry

Step-by-step explanation:

Helpppp with question 8

Answers

Answer:

y - 8

Step-by-step explanation:

She is 8 years younger so you'd subtract eight from her sister's age.

PLEASE HELP. I AM STUCK!!!

Answers

Answer:

Step-by-step explanation:

Midsegment means it's the middle, or half-way .  It chops the sides into even parts.  The line that's the midsegment is going to be parallel to the base and half the size of the base.  In other words, double the midsegment and that's equal to the base.  Then, just solve for x.

draw a number line and represent the following rational numbers on it:1:3/4​

Answers

Answer:

It is your answer please mark me brainlist

Step-by-step explanation:

follow

Which solid has two faces, zero lateral faces, two bases, zero vertices, and zero edges?

cube
cone
sphere
cylinder

Answers

Answer:

cylinder

isn't this eighth grade geometry? i thought u were in high school

Mathhhhhhh testtttt Add a statement, equation and concluding statement

Answers

Answer:

Charlene earns $700 per week

Kristi earns $550 per week

Sascha earns $800 per week

Step-by-step explanation:

Since Kristi earns 150 less than Charlene which is 100 less than Sascha, this is equal to the value of Sascha minus 250. We put this in the equation as s-250.

Together, they all earn $2050, so we must equal this to Charlene's value k+150, plus Kristi's value k, plus Sascha's value s.

k+150+k+s=2050

The next step here is to put the variables on one side and to put the numeric values on the other.

2k+s=1900

Like we said before, Kristi's value is equal to s-250, so we would replace k with that expression.

2(s-250)+s=1900

2s-500+s=1900

3s=2400

s= 800

We now have Sandra's weekly pay, which we can use to find the others' pay.

c= s-100

c= 800-100

c= 700

k= c-150

k= 700-150

k= 550

(5-2x^4)(5+2x^4)


pls

Answers

Answer:

25 -4x^8

Step-by-step explanation:

Im pretty sure its this! <3 Hope it helped.

Answer: =−4[tex]x^{8}[/tex]+25

The 8 is an exponent

Step-by-step explanation:

(5−2x4)(5+2x)

=(5+−2)(5+2)

=(5)(5)+(5)(2[tex]x^{4}[/tex])+(−2

=25+10[tex]x^{4}[/tex]−10

=−4[tex]x^{8}[/tex]+25

Find the value of x in the trapezoid below.
124°

Answers

Answer:

56 degrees

Step-by-step explanation:

just cause

Answer:

56 degrees

Step-by-step explanation:

the total degrees in a quadrilateral is 360

and in a trapezoid the top two angles measure the same and the bottom two measure the same

so since one of the top angles is 124 the one beside it is too

add 124 and 124 you get 248

then subtract it from 360 and you get 112

divide 112 by 2 and you get 56 which is the angle of x

For each sentence, write an equation.
Solve the equation to find the number.
a) A number divided by 6 is 9.
b) A number divided by -4 is -3.
c) A number divided by -5 is 7.

Answers

A) x/6=9
Subtract 6 from both sides, x=3

B) x/-4=-3
Add 4 to both sides, x=1

C) x/-5=7
Add 5 to both sides, x=12

30% of 150 is 45 what is the base the rate and the percentage

Answers

Answer:

Step-by-step explanation:

The base is 150. The rate is 30%. The percentage is 45.

8.) What is the probability of rolling a 2 on a six-sided number cube and flipping heads on a coin? *
1/2
1/6
1/12

Answers

The probability of rolling a 3 on a six sided number cube is 1/6

find the lateral surface area of the prism 4 3 1.5

Answers

Answer:

give me sec waitttttttt give me sec is their any answer choice

Solve for x
x+4=−2

help please.​

Answers

Answer:

x=-6

Step-by-step explanation:

The only thing to do is to transpose 4 and it will become negative,so-2-4=-6

Answer:

X = -6

Step-by-step explanation:

The equation is x + 4 = -2. Make the (+4) to cross over the equal sign which makes a new equation :- x = -2 - 4

Work out the new equation:-

x = -2 - 4

NOTE: -2 - 4 = -6

Therefore x = -6

The circumference of a pizza is 75 inches. What is the approximate radius of the pizza?

Answers

Answer:

r = 11.94

Step-by-step explanation:

Circumference Formula:

C = 2πr

75 = 2(3.14)r

75 = 6.28r

r = 75/6.28

r = 11.94

75 POINTS

You regret looking at this don't you..you are feeding your eyes but not your tastebuds. You are feeding your eyes but not your stomach. Now suffer with me.. > : )

Answers

Thanks for the food and the points12346727373738288238728373283838283837283729373928392829732

Need answer plz help! No links :(

Answers

i think it is a one to one function

Solve the system of linear equations by substitution for x and y

1. X+y=7
Y=-3

2. 3x+4y=-10
X=-3y

Answers

Answer:

(10,5)

Step-by-step explanation:

●x+(-3)=7

x=7+3

x=10

●3x+4y=-10

3(-3y)+4y=-10

-6y+4y=-10

-2y=-10

y=5

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