A regular pentagon with a perimeter of 10 cm is dilated by a scale factor of 3/2 to create a new pentagon. What is the the perimeter of the new pentagon?

Answers

Answer 1

Given:

Perimeter of a regular pentagon = 10 cm

The pentagon is dilated by a scale factor = [tex]\dfrac{3}{2}[/tex].

To find:

The perimeter of the new pentagon.

Solution:

If a figure is dilated by a scale factor k, then

Perimeter of new figure = k × perimeter of original figure

The scale factor is [tex]\dfrac{3}{2}[/tex] and the perimeter of a regular pentagon is 10 cm. So, the perimeter of a new pentagon is:

[tex]\text{Perimeter of new pentagon}=\dfrac{3}{2}\times 10[/tex]

[tex]\text{Perimeter of new pentagon}=3\times 5[/tex]

[tex]\text{Perimeter of new pentagon}=15[/tex]

Therefore, the perimeter of the new pentagon is 15 cm.


Related Questions

At Jones Middle School 72% of students like pizza. If there are 250 students, how many students like pizza? *

Answers

Answer:

180/250

Step-by-step explanation:

Your answer is: 180 students

We need to convert 72% to a decimal. 72% = 72/100 = 0.72

Then multiply 250 x 0.72 = 180

What is the equivalent exponential expression for the radical expression below?

Answers

Answer:

B (a + b)^1/2

Step-by-step explanation:

[tex]\sqrt[m]{x^n} =a^{n/m}[/tex]

Is the formula for radical to exponent notation.

You rub a balloon on your head and it becomes negatively charged. The balloon will be most attracted to

Answers

Answer:

When you rub the balloon on your hair, the balloon becomes negatively charged because it gains electrons from your hair.

Step-by-step explanation:

Is it multiple choice? If not the answer is anything positively charged. Negative and positive ions attract, while synonymous (N,N or P,P) repel. Pieces of paper, the wall, or even your clothing are all possibly positive charged objects the balloon could stick to.

Geometry help please. Thank you!

Answers

I think it would be a 4:1 ratio triangle PQR is 4x the lengths of triangle VXW

which of the following equations has no solutions? ​

Answers

Answer:

all if you don't answer them

PLEASE HELP URGENT ILL GIVE 25 POINT.

Answers

Answer:

C

Step-by-step explanation:

I think that this is talking about which sides match up with each other and if that is the case the answer would be C

what is the volume of a cone with a radius of four and a height of 15

Answers

Answer:

volume = 251.33

Step-by-step explanation:

volume = pi * r^2 * h/3

v= 22/7 * 4* 4 * 15/3

v= 251.33

What’s the answer pls help meee

Answers

Answer:

3 hours

160 - 55 = 105

105 ÷ 35 = 3

Answer:

3 hours

Step-by-step explanation:

First, we must turn this into an equation:

35n + 55 = 160

N = number of hours

Next, solve:

35n + 55 - 55 = 160 - 55

35n = 105

n = 3

The plumber was there for 3 hours.

The volume of this figure is

Answers

Answer:

8 x 10 = 80

80 divided by 2 = 40

40 x 9 1/2 = 380

380 is the answer because what the person did above was correct. :)

The pet store had 2 puppies to feed using 1/3 of a bag of puppy chow. If each puppy needs an equal amount, how much food should they receive? I really need this asap if you dont mind.

Answers

Answer:

The answer would be 1/6

Step-by-step explanation:

That is because 1/3 divided by 2 equals 6. Hope this helps.

Help with this maths question please

Answers

Answer:

The surface area is 1.5cm

Step-by-step explanation:

6/4=1.5cm

Answer:

216 cm²

Step-by-step explanation:

A cube has 6 square faces.

The area of 1 face = 6 × 6 = 36 cm² , then

SA = 6 × 36 cm² = 216 cm²

PLEASE HELP!!

what is the arrow pointing to? (l

CHECK THE PHOTO

Answers

Answer:

3.7

Step-by-step explanation:

each tick represents .1 unit

Convert the following fractions into mixed numbers: 15/7

Answers

Answer:

2 1

   7

Step-by-step explanation:

Please do correctly! I will mark you Brainliest!

Answers

Answer:

Step-by-step explanation:

3*3 + 1/2*3*3 = 9+4.5 = 13.5

4) Haleakela is a 10,000 foot high dormant volcano on Maui, Hawaii. The peak is a horizontal distance of 30,000 feet from the ocean. At what angle would you have to look up to see the peak if you were standing at the edge of the ocean?​

Answers

ITS 67 dgrees Step-by-step explanation: NP BRAINLIEST OR NA :)?

The angle that you would have to look up to see the peak if you were standing at the edge of the ocean is 18.4°.

Angle:

Let x represent the angle

Tan x=Height/Horizontal distance

Tan x =10,000/30,000

x=Tan^-1 (1/3)

x=18.4°

Inconclusion the angle that you would have to look up to see the peak if you were standing at the edge of the ocean is 18.4°.

Learn more about angle here:https://brainly.com/question/25770607

What is the equation of the circle with center (2,-5) that passes through the point (-2,10).

(x-2) ^2 + (y+5)^2=25
(x+2) ^2 +(y-5)^2=241
(x-2)^2 +(y-5)^2=241
(x+2)^2 + (y-5)^2=25

Answers

Answer:

b is the answer

Step-by-step explanation:

I'm not 100% sure on how to figure out this equation, can can anyone help out?

Answers

Answer:

Aonnalin, great name  :)  answer as below

Step-by-step explanation:

They tell us to use slope-intercept form.   This is something you will just have to remember  y = mx+b    

It is confusing b/c there is the other one, the point-slope formula too.  but just remember both and know that the point-slope one is to get to the slope-intercept one.    y-y1 = m(x-x1)  

m= slope

m = (y2-y1) / (x2-x1)

P1= (0,7)  in the form (x1,y1)

P2 =(8,-2) in the form (x2,y2)

m = -2-7 / 8-0

m = -9 / 8

now that we have the slope, just use either point with the point-slope

y-7 = (-9/8)(x-0)

y-7 = -9x/8

y = -9x/8 + 7

y = [tex]\frac{-9}{8}[/tex] X + 7

slope-intercept form  :)

Angles a and b are...?
Choose all answers that apply?


a) Complementary
b) Vertical
c) Supplementary
d) None of the above

Answers

Answer:

vertical

Vertically opposite angles make a up a 360 degree angle

Answer:

b) Vertical

Step-by-step explanation:

When two lines intersect, 4 angles are formed. Two non-adjacent angles with no common inside points are called vertical angles.

Answer: b) Vertical

LOOK AT THE PHOTO!! please help.

Answers

Answer:

a) 18

b)12

Step-by-step explanation:

hope this helps

please help multiple choice ( links = report )

Answers

Answer:

22

Step-by-step explanation:

the answer is 56(2)!

Solve the inequality. 2 < 6 - 3r and graph the solution

Answers

the answer is 3 because you subtract 6 - 3 = 3r

r varies directly as s and inversely as t cubed. If r=607.5 when s=12 and t=2, find r when s=42 and t=6

Answers

Answer:

hi, do you study physics too?

Josiah went to the barber to get his haircut.It cost $18 for the haircut.Josiah tipped the barber 15%.What was the total cost of the haircut including the tip?

Answers

Answer:

Tip -$2.70

Total -$20.70

Step-by-step explanation:

The radius of the a circle is:

is a line segment with its endpoints on the circle.

is a line segment from the center of a circle to a point on the circle

is a chord that passes through the center of a circle. It is twice the length of a radius of that circle

is a part of a circle with all its points on the circle

Answers

Answer:

[tex]\fbox{\textsf{Option B is \underline{correct}.}}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to identify what the radius of a circle is.}\\[/tex]

[tex]\textsf{Let's look at what a Radius really is.}}[/tex]

[tex]\Large\underline{\textsf{What is a Radius?}}[/tex]

[tex]\textsf{A \underline{Radius} is a \underline{line segment} that has the distance between the \underline{center of the circle}}[/tex]

[tex]\textsf{to a \underline{point} on the \underline{circumference}. A Radius is a \bf{straight line.}}[/tex]

[tex]\textsf{Let's review the options provided.}}[/tex]

[tex]\textsf{Option A is \underline{incorrect}. }}[/tex]

[tex]\textsf{Sometimes it won't cross the center if their endpoints are on the circumference.}[/tex]

[tex]\textsf{This is called a Diameter, if it does cross the center.}[/tex]

[tex]\fbox{\textsf{Option B is \underline{correct}.}}[/tex]

[tex]\textsf{The Radius is exactly a line segment from the center to the circumference.}[/tex]

[tex]\textsf{Option C is \underline{incorrect}. }}[/tex]

[tex]\textsf{A Chord is a line segment whose endpoints are on the circumference, always.}[/tex]

[tex]\textsf{This is not a Radius, as a Chord covers twice the distance, and length of a Radius.}[/tex]

[tex]\textsf{Option D is \underline{incorrect}. }}[/tex]

[tex]\textsf{This is incorrect. A Radius has to have the Center as one of its points. }[/tex]

Jasmine and Cindy ran in a race this weekend that was 3.5 miles long.

Jasmine ran the race in 42 minutes.
Cindy 's rate was 11 minutes per mile.
Who ran faster?
HELP PLSSS :(

Answers

Answer: Cindy

Step-by-step explanation:

42/3.5=12 minutes per mile

So Cindy ran faster at 11 minutes per mile

Answer:

Cindy was faster

Step-by-step explanation:

jasmine

42/3.5= 12 miles por hour

Arianna put $250 in a savings account with an interest rate of 3%. If Arianna does not deposit or withdraw any money, what is the amount of interest that Arianna will earn at the end of six MONTHS?

Answers

Answer:

She will earn 485.13075 in interest.

Step-by-step explanation:

Assuming the interest rate is monthly and it is simple interest, the equation is Total = amount * (1 + rate) * time

Fill that out and solve the equation

T = 2500 * (1.03) * 6

T = 2500 * (1.1940523)

T = 2985.13075

To find the interest subtract T by 2500

2985.13075 - 2500 = 485.13075

What is the product of 5.2 x 10^4 and 1.3 x 10^-2?

6.76×10^8

6.76×10^2

6.76×10^-2

6.76×10^-8

Answers

Answer:

i believe it's 6.76×10^2

Can someone pls help me with this?

Answers

the answer is B because the question is asking for the factors

Match the behavior if the graph of a function with the slope of its graph

Answers

Answer:

A

Step-by-step explanation:

Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?

Answers

Answer:

22.5

Step-by-step explanation:

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