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

PLZ ANSWER THIS I CANT FIGURE OUT THE SECOND ONE

(INSTANTANEOUS ROC)

I will give you brainiest if you answer it right

Answers

Answer:

Step-by-step explanation:

The first one is actually 0 I think. The instantaneous ROC at x=1 should also be 0. The last one should be correct.

Basically, the ROC for the first one is 0 because the y value at the start and end of the interval is the same, so the change is the same. However, for the instantaneous ROC at x = 0, you look at the graph and realize that if you find the derivative at that point, it is 0.

What is the name?

Help please

Answers

Answer:

Tangent

Step-by-step explanation:

GE has only one point of contact with the circle at F

The line GE is therefore a tangent

Answer:

Tangent

Step-by-step explanation:

i took it

Solve the triangle, round answers to the nearest tenth.

Answers

Step-by-step explanation:

to get DE nd also EF u can use the cosine rule since two angles and a side has been given

and to get the angle at D since we know ∆=180 then u add up the angles given then u subtract from 180

The lengths of three ropes are 4 : 5 : 9. If the length of the shortest rope is 20 cm, find the length of the longest rope

Answers

Answer:

Don’t quite me on it, but 45cm?

Explanation:

Well, if the shortest rope (4) is only 20cm, it’s about 5cm per length (?)

So, if you follow that pattern the longest (9) would be 45cm.
The answer is 45
If 20/4 = 5
Then 9x5 = 45

help please I don't understand​

Answers

I think the answer is t=7 have a nice day!

Find the perimeter of the square. (hint : make one side = to the other side to find y. Remember, you are finding the perimeter)

Answers

Step-by-step explanation:

[tex]5y = 4y + 3 \\ y = 3 \\ p = 4 \times a = 4 \times 3 = 12[/tex]

what is the difference between 479,310 and 214,991?

Answers

264, 319 is the answer if you subtract 479, 310 from 214,991

Answer:

264,319

Step-by-step explanation:

A difference is a subtraction problem.

Subtract 214,991 from 479,310.

479,310 - 214,991 = 264,319

The diagram shows a field ABC.

AC = 240 m

Use the sine rule to calculate AB.

Answers

Answer:

AB ≈ 312.1 m

Step-by-step explanation:

Using the Sine rule in the triangle, then

[tex]\frac{AB}{sin85}[/tex] = [tex]\frac{240}{sin50}[/tex] ( cross- multiply )

AB × sin50° = 240 × sin85° ( divide both sides by sin50° )

AB = [tex]\frac{240sin85}{sin50}[/tex] ≈ 312.1 m ( to 1 dec. place )

Let x and y be inversely related. If x is 5 when y
is 6, find y when x is 3.

Answers

Answer:

y=10

Step-by-step explanation:

x=k/y

constant of proportionality

k=xy

k=5*6

k=30

therefore x=30/y

if x=3 y=?

y=30/3

y= 10

Which expression is equivalent to

Answers

Answer:

B) x^(5/3)*y^(1/3)

Step-by-step explanation:

Taking the cube root of a number is the same as raising it to the 1/3 power:

∛x=x^1/3

∛(x⁵y) = x^(5(1/3))*y^(1/3)=x^(5/3)*y^(1/3)

Remember to multiply exponents when raising an exponent to an exponent and distribute the 1/3 to each exponent!

The order in which conditions are combined does not matter in a _____.

permutation
combination
sequence
series

Answers

It answer is a combination

Answer:

combination!!

Please answer the question below fully will mark brainliest

Answers

Answer:

que es eso

Step-by-step explanation:

fuhwiheirj lo siento

Which expression is equivalent to 2(3g - 4) - (8g + 3)?

Answers

Answer:

Step-by-step explanation:

6g - 8 - 8g - 3

-2g - 11

Answer:

-2g - 11

Step-by-step explanation:

2(3g - 4) - (8g + 3)

Use the distributive property to multiply 2 by 3g - 4.

6g + 2(-4) - (8g + 3)

6g - 8 - (8g + 3)

Find the opposite of 8g + 3.

6g - 8 - 8g - 3

Combine like terms.

-2g - 8 - 3

Subtract 3 from -8 to get -11.

-2g + 11

The expression equivalent to 2(3g - 4) - (8g + 3) is -2g - 11.

The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.

A) y = 4x +7
Or
B) y = 4x + 19

Can you help? ​

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )

m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A

What speed would a plane average on a trip
of 4000 miles that took 6 hours?
(A) 150.0 miles per hour
(B) 666.6 miles per hour
(C) 366.6 miles per hour
(D) 1500.0 miles per hour

Answers

Answer:

B) 666.6 miles per hour

Step-by-step explanation:

To solve this question, divide the 4000 miles with the 6 hours to get an answer in units of X miles per hour.

4000 miles/6 hours = 666.6 miles per hour

You invest $500 in an account that pays 6% interest compounded continuously. How
much will be in the account after 6 years?

Answers

Answer:  716.66 dollars

=====================================================

Explanation:

We'll apply this formula

A = P*e^(r*t)

where,

A = account balance after t yearsP = initial deposit, aka principale = special constant roughly equal to 2.718 but it goes on forever without a pattern; it's better to let the calculator handle this value rather than type the decimal digits in.r = annual interest rate in decimal formt = number of years

In this case, we have

P = 500r = 0.06t = 6

Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.

So...

A = P*e^(r*t)

A = 500*e^(0.06*6)

A = 716.66470728026

A = 716.66 dollars is the final answer

.
In the hands of someone with harmful intentions, how can analogies prove to be dangerous tools?
A)Analogies can create long-lasting confusion that prevents people from making decisions.
B)Analogies make significant connections seem far less powerful than they actually are.
C)Analogies meant to persuade or influence people are often disguised as explanations.
D)Analogies, even weak and misleading ones, can be powerful tools of persuasion.

Answers

Answer:

I believe, its D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

in the figure above, the area of square ABCE=x^2 and DC=y. What is the area of triangle AED?

Answers

Answer:

The area of triangle AED = (x^2-xy)/2

Step-by-step explanation:

Mathematically, the area of a square is the product of its side lengths

Thus, if the area is x^2; then the side of the square measures x

So each of the side of the square has a measure x units

Now, for the base of the square;

EC = ED + DC

x = ED + y

ED = x - y

Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2

The height here is x and the base is (x-y)

We have this as;

Area of triangle AED =

1/2 * x * (x-y)

= (x(x-y))/2

= (x^2-xy)/2

find the circumference of the pizza nearest to to the nearest whole number if the radius is 7 in​

Answers

Answer:

69

Step-by-step explanation:

420+911÷360 no scope=69

Help me please! Write the measure of angles a, b, c, d, e, f, and g for the figure below.
I need help and answers. NO LINKS PLEASE! Thank you! I'll give 10 points and brainliest.

Answers

Answer:

a=55

b=55

c=125

d=125

e=55

f=55

g=125

Step-by-step explanation:

Answer:

∠a = 55°, ∠b = 55°, ∠c = 125°, ∠d = 125°, ∠e = 55°, ∠f = 55°, ∠g = 125°

Step-by-step explanation:

straight lines form 180°:

125° + ∠a = 180°

=> ∠a = 55°

verticle angles are congruent:

∠c = 125°

∠b ≅ ∠a => ∠b = 55°

When two line are parallel:

same side interior angles are congruent:

∠g ≅ ∠c => ∠g = 125°

∠e ≅ ∠a => ∠e = 55°

∠d = 125°

∠ f ≅ ∠b => ∠f = 55°

A class collects data on the number of movie tickets purchased and the total cost of those tickets. The class plots the data on a scatter plot. Which statement BEST interprets their results?

A.
There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.

B.
There is likely to be both correlation and causation between the number of movie tickets purchased and the total cost of those tickets.

C.
There is likely to be neither correlation nor causation between the number of movie tickets purchased and the total cost of those tickets.

D.
There is likely to be causation between the number of movie tickets purchased and the total cost of those tickets but not correlation.

Answers

Answer:

Step-by-step explanation:

There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.

'There is likely to be correlation between the number of movie tickets purchased and the total cost of those tickets but not causation.' This statement best interprets their results.

What is correlation?

It is a relationship between two variables or events. However, one  variable doesn't actually cause the other.

What is causation?

Causation can be applied on two events or variables where variable 2 causes the variable 1.

The class collects data on the number of purchased and the total cost of those tickets.

Let, for a particular time period, this observation is recorded.

Hence, the number of movie tickets purchased and the total cost of those tickets this must be correlation. It can't be causation. Option: A is right.

Learn more about correlation and causation here: https://brainly.com/question/10971583

#SPJ2

What is the solution of 3x + y = 9 and 3x - 5y = 15?​

Answers

Answer:

(10/3, -1)  

Step-by-step explanation:

So there are two different ways.  

First you could address for y and fitting it into the number cruncher. one condition for y1 and another for y2. At that point go second follow and press 5 and afterward press enter multiple times to discover the convergence.  

the subsequent path is to tackle by hand. I would recommend address the primary condition for y and attachment the condition tackled for y into the other condition. so y = - 3x + 9 and 3x-5y=15. At that point you could do 3x - 5(- 3x+9) = 15. At long last address for x and plug in x into the two conditions to check whether you get a similar y esteem.  

The appropriate response ought to be (10/3, - 1)

Answer:

x = 3 1/3, x = -1.

Step-by-step explanation:

3x + y = 9

3x - 5y = 15

Subtract second equation from the first to eliminate the 3x :

3x - 3x + y - (-5y) = 9 - 15

6y = -6

y = -1.

Plug y = -1 in first equation:

3x + -1 = 9

3x =  10

x = 10/3 = 3 1/3.

HELP PLZ BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

five-number summary

Step-by-step explanation:

if the mean of 12,16,22,X 28 is 19.6 find X

Answers

Answer:

20

Step-by-step explanation:

A data is given and the mean of data is 19.6 .The data is ,

12 , 16 , 22 , x , 28 .

We know that the mean is sum of observations divided by Total number of observations . So that ,

⇒ 12 + 16 + 22 + x + 28/ 5 = 19.6

⇒ 78+x/5 = 19.6

⇒ 19.6 × 5 = 78 + x

⇒ 78 + x = 98

⇒ x = 98 - 78

⇒ x = 20

Hence the value of x is 20 .

Which equation has the solution x = 2?

A 2x-3=19

B 3x+2=8

C 4x-4=-4

D 5x+1=10

Answers

Answer:

The answer is B.

Step-by-step explanation:

You can solve this problem by plugging in 2 for x in the given equations.

2(2) - 3 = 19 is false

3(2) + 2 = 8 is true

4(2) - 4 = -4 is false

5(2) + 1 = 10 is false

Helllllllpppppp me plz

Answers

Answer:

90 degrees

Step-by-step explanation:

Answer:

x=103

Step-by-step explanation:

sum=(n-2)*180

sum=(6-2)*180

sum=4*180

sum=720

90+155+112+120+140+x=720

617+x=720

x=720-617

x=103

can yall help me smart people

Answers

Answer:

D y>0

Step-by-step explanation:

(0,∞)

2x+1=5x-8 Solving Equations with Many or No Solutions

Answers

Hello!

[tex]\large\boxed{x = 3}[/tex]

2x + 1 = 5x - 8

Solve by subtracting both sides by 2x:

2x - 2x + 1 = 5x - 2x - 8

1 = 3x - 8

Add 8 to both sides:

1 + 8 = 3x - 8 + 8

9 = 3x

Divide both sides by 3:

9/3 = 3x/3

x = 3

Answer:

x = 3

Step-by-step explanation:

1. Write the equation

2x + 1 + 5x - 8

2. Add 8 on both sides

2x + 9 = 5x

3. Get the variables together

9 = 3x

4. Solve for x and divide both sides by 3

x = 3

A triangular prism has a height of 9 meters and a triangular base with the following dimensions.

What is the volume of the prism?

- 420 m^3

- 288 m^3

- 324 m^3

- 432 m^3

Answers

Answer:

V = 432 m³

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A = [tex]\frac{1}{2}[/tex] bh ( area of triangular base, with b the base, h the perpendicular height)

Here b = 16 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 16 × 6 = 8 × 6 = 48 m²

Then

V = 48 × 9 = 432 m³

The first two angles in a triangle are 90 degrees and 50 degrees. What does the third angle have to be?

A. 20 degrees
B. 40 degrees
C. 50 degrees
D. 90 degrees

Answers

Answer:

B) 40 degrees

Step-by-step explanation:

90 + 50 = 140

Each triangle have 180 °

180 - 140 = 40

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