the area of a circle is 32 pi square units find its perimeter

Answers

Answer 1

Answer:

[tex] \boxed{ \bold{ \huge{ \bold{ \sf{20.05 \: \pi \: units}}}}}[/tex]

Step-by-step explanation:

Area of a circle ( A ) = 32 π units

Radius of a circle ( r ) = ?

Perimeter of a circle ( P ) = ?

First ,finding the radius of a circle :

[tex] \boxed{ \sf{area \: of \: a \: circle = \: \pi \: {r}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{32 \: \pi= \: \frac{22}{7} \times {r}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{32\pi \: = 3.14 {r}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{3.14 {r}^{2} = 32\pi}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{3.14 {r}^{2} }{3.14} = \frac{32\pi}{3.14} }}[/tex]

[tex] \dashrightarrow{ \sf{ {r}^{2} = 10.19 \: \pi \: }}[/tex]

[tex] \dashrightarrow{ \sf{r = \sqrt{10.19\pi} }}[/tex]

[tex] \dashrightarrow{ \sf{r = 3.19\pi}}[/tex]

Finding the perimeter of a circle ( P )

[tex] \boxed{ \sf{perimeter \: of \: a \: circle = 2\pi \: r \: }}[/tex]

[tex]{\sf{ \: perimeter \: of \: a \: circle = 2 \times \frac{22}{7} \times 3.19 \: \pi}}[/tex]

[tex] \sf{perimeter \: of \: a \: circle = 20.05 \: \pi \:units }[/tex]

Hope I helped!

Best regards! :D

Answer 2

The perimeter of the circle with an area of 32 π square units is 2√32π units.

Given,

The area of a circle is 32 π square units.

We need to find its perimeter.

What is the area of a circle?

The area of a circle is given by:

= π r²

The perimeter of a circle is given by:

= 2πr

Where r = radius

Find the area of a circle.

Area = π r²

32 π  = π r²

Divide both sides by π

32 = r²

r = ±√32

r can not be negative so we have,

r = √32

Find the perimeter of a circle.

P = 2πr

P = 2 x π x √32

P = 2√32 π units

The perimeter of the circle with an area of 32 π square units is 2√32π units.

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Related Questions

Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x 2 + 3x - 2 F(a) =

Answers

answer: f()2-2 x-48-(6925)

Amber is making a scale drawing of a movie screen. Her local theater is 60 ft wide and 200 ft tall in her scale drawing the screen has a width of 9 inches what will the height of her screen on her drawing be

Answers

Answer:

The height of her screen on her drawing must be 30 inches.

Step-by-step explanation:

The scale factor is obtained by dividing the drawn width by real width of the movie screen:

[tex]k = \frac{9\,in}{60\,ft}[/tex]

[tex]k = \frac{3\,in}{20\,ft}[/tex]

The drawn height of movie screen is the product of the scale factor and the real height of the movie screen:

[tex]h_{s} = \left(\frac{3\,in}{20\,ft} \right)\cdot (200\,ft)[/tex]

[tex]h_{s} = 30\,in[/tex]

The height of her screen on her drawing must be 30 inches.

Rose has a fish tank in the shape of a rectangular prism. The fish tank has a length of 20 inches and a width of 10 inches Rose pours 15 gallons of water into the fish tank How

hoh, to the nearest tenth of an inch, will the water reach in the tank

photo cubic foot of volume holds approximately 746 gallons of water

inches

Copyright 2020 Illuminate Education, Inc. All Rights Reserved

Answers

Answer:

17.3 in

Step-by-step explanation:

Given the following :

Length of tank = 20 inches

Width of tank = 10 inches

Amount of water poured into tank = 15 gallons

Volume(V) of tank (rectangular prism)

V = Length × width × height

Height = h

1 gallon = 231 inch³

15 gallons = (231 × 15) = 3465 in³

Hence V = 3465 in³

3465in³ = 20 in × 10 in × h

3465 in³ = 200h

h = 3465 / 200

h = 17.325 in

Height = 17.3 in ( nearest tenth)

The length of an arc of a circle is 44cm.If the radius of the circle is 42cm calculate the angle sub tended by the arc at the center of the circle​

Answers

Answer:

32

Step-by-step explanation:

-7/10 - 4/10 =
Hurry plz

Answers

Answer:

[tex] - 1 \frac{1}{10} [/tex]

Step-by-step explanation:

[tex] - \frac{7}{10} - \frac{4}{10} [/tex]

The two fraction have the same denominator , so put them under a common denominator

[tex] \frac{ - 7 - 4}{10}[/tex]

Simplify

-7-4=-11

[tex] \frac{ - 11}{10} = - \frac{11}{10} [/tex]

write in mixed fraction form

[tex] - 11 \div 10 = 1 \: remainder \: 1 \\ = - 1 \frac{1}{10} [/tex]

Point L is on line segment KM. Given LM = 2 and KM = 19, determine
the length KL.

Answers

Answer:

17

Step-by-step explanation:

i am in doubt with the answer

Answer:

[tex]\huge\boxed{KL = 17}[/tex]

Step-by-step explanation:

If L lies on the line segment KM. It means that:

K_____?__________L___2__M

|<--------------------19------------------->|

Given that:

LM = 2

KM = 19

So,

KM = KL + LM

19 = KL + 2

Subtracting 2 to both sides

KL = 19-2

KL = 17

You spend a total of 300 minutes doing math homework Monday through Friday. How many hours will you spend on math homework by the end of this semester (18 weeks)?

Answers

Answer:

90 hour

Step-by-step explanation:

300 minutes is for 1 school week

so if you multiply 300 minutes for 18 weeks it results as 5400 minutes.

300 × 18 = 5400 minutes

To get the number of hours you should divide 5400 minute by 60 minutes      ( which is one hour )

5400 ÷ 60 =. 90 hours

You spent a total of 90 hours studying math in 18 weeks.

this is easy but i’m having a bad day and this is almost due please help i will give brainliest

Answers

Answer:

Step-by-step explanation:

okay so if we lay it out...,

f(x)              6-5x                x-9           x³           2x-5            12x+3

f(-3)              21                   12            -27           -11               -33

f(-2)              16                   -11           -8              -9                -21

f(0)                6                   -9             1                -5                 3

f(1)                 1                    -8             1                -3                 15

f(2)               -4                    -7            8               -1                   27

okay so the left side is all the f(x) values. So the numbers in the "()" represents "x". Now you just substitute the numbers in the"()" for the "x"'s on the top margins. so...,

f(-3)= 6-5x            f(-2)= 6-5x                 f(0)=6-5x               f(1)=6-5x        f(2)=6-5x

f(-3)= 6-5(-3)         f(-2)= 6-5(-2)             f(0)=6-5(0)            f(1)=6-5(1)       f(2)=6-5(2)

f(-3)= 6+15            f(-2)= 6+10                 f(0)=6-0                f(1)=6-5          f(2)=6-10

f(-3)= 21                f(-2)= 16                      f(0)=6                   f(1)= 1              f(2)= -4

f(-3)=x-9               f(-2)=x-9                      f(0)=x-9               f(1)=x-9            f(2)=x-9

f(-3)=(-3)-9            f(-2)=(-2)-9                  f(0)=0-9              f(1)=1-9             f(2)=2-9

f(-3)=-12                f(-2)=-11                       f(0)= -9                f(1)= -8            f(2)= -7

f(-3)=x³                 f(-2)=x³                        f(0)=x³                f(1)= x³              f(2)=x³

f(-3)=(-3)³             f(-2)= (-2)³                    f(0)=0³               f(1)=1³                f(2)=2³

f(-3)= -27             f(-2)= -8                        f(0)= 1                f(1)= 1                 f(2)=8

f(-3)= 2x-5           f(-2)= 2x-5                 f(0)= 2x-5            f(1)= 2x-5      f(2)=2x-5

f(-3)=2(-3)-5         f(-2)=2(-2)-5              f(0)= 2(0)-5          f(1)= 2(1)-5     f(2)=2(2)-5

f(-3)= -6-5            f(-2)= -4-5                  f(0)=0-5               f(1)=2-5         f(2)=4-5

f(-3)= -11               f(-2)= -9                      f(0)= -5                f(1)= -3          f(2)= -1

f(-3)=12x+3            f(-2)=12x+3              f(0)=12x+3          f(1)=12x+3     f(2)=12x+3

f(-3)= 12(-3)+3        f(-2)=12(-2)+3          f(0)=12(0)+3        f(1)=12(1)+3    f(2)=12(2)+3

f(-3)= -36+3          f(-2)= -24+3              f(0)= 0+3             f(1)=12+3       f(2)=24+3

f(-3)= -33                f(-2)= -21                  f(0)=3                 f(1)=15           f(2)= 27

Don't know if you wanted all the work. But I just did it for you so you can see.

can someone please help with this?​

Answers

Part A

Answers:

Coefficient = 10.50  or  15 (pick one value)Variable = h or c (pick one)Constant = 50

------------------

Explanation:

The variables are simply letters. They are placeholders for numbers to be plugged in later. Think of them like empty boxes where numbers will go. In this case, the variable h represents the number of hours Tyler works, and c is the number of new accounts she opens.

The coefficients are the numbers multiplied with the variables. They are to the left of the variable.

The constant 50 is not attached to any variable.

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

Part B

Answer: She earns $618.5

-------------------

Explanation:

We're told she worked 37 hours. So we'll replace h with 37.

Also, she opened 12 new accounts. So c = 12

This means...

10.50*h + 15*c + 50

10.50*37 + 15*12 + 50

388.5 + 180 + 50

618.5

is the amount she earns

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

Part C

Answer: The coefficient changes. Specifically, the coefficient 10.50 changes to 11.25

-------------------

Explanation:

The constant never changes (hence the name) no matter how much of a raise Tyler gets. The other coefficient doesn't change either because she would still get $15 per new account. All that's changed is the hourly wage.

If we're told that Tyler got a raise to $11.25 per hour and she now earned $20 per new account, then both coefficients would change and the new equation would be 11.25h+20c+50

If:
JK = 6x + 2,
KL=7+4, and
JL= 45,
Find KL.
J
K
L

Answers

Answer: 25

Step-by-step explanation: got it wrong and got the answer Took 1 for the team

Answer:

25

Step-by-step explanation:

khan academy :D

ASAP 1. what is the mass, in Kilograms, of a star that is 1.5×10^2 times thw mass of the sun? The sun's mass is 2.0×10^30 kg. Express the answer in Scientific notation. 2. Solve Apply the concepts to this problem. Set up the problem. (2.0 X 10^30) X (1.5 X 10^2) Multiply the coefficients. (2.0 X 10^30) X (1.5 X 10^2), (2.0 X 1.5) = 3.0 Then add the exponents. (2.0 X 10^30) X (1.5 X 10^2) = (10^30 X 10^2) = 10^30 + ^2 = 10^32, Combine the results of the two operations. (2.0 X 10^30) X (1.5 X 10^2) = 3.0 X 10^32 The star's mass is 3.0 x 10^32 kg.

* Muliply numbers written in Scientific notation by multiplying the coefficients and then adding the exponents. you will get Free huge point and a Crown!​

Answers

Answer:

1.   The star's mass is 3.0 x 10^32 kg.

2.  The star's mass is 3.0 x 10^32 kg.

Step-by-step explanation:

1.

given:

The sun's mass is 2.0×10^30 kg.

mass of a star = 1.5×10^2 kg times the mass of the sun.

find:

Express the answer in Scientific notation.

mass of a star =  1.5×10^2 kg X 2.0×10^30 kg

mass of a star = 3.0 X 10^32 kg

therefore,

The star's mass is 3.0 x 10^32 kg.

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

2.

(2.0 X 10^30) X (1.5 X 10^2)

Multiply the coefficients.

= (2.0 X 1.5)

= 3.0

then add the exponents

= 10^30 + 10^2

= 10^32

Combine the results of the two operations.

(2.0 X 10^30) X (1.5 X 10^2) = 3.0 X 10^32

therefore,

The star's mass is 3.0 x 10^32 kg.

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

Answer:

1.   The star's mass is 3.0 x 10^32 kg.

2.  The star's mass is 3.0 x 10^32 kg.

Step-by-step explanation:

i got them correct on exam

The total cost renting a bicycle is $10 flat fee plus an additional $7.50 per hour. If the total cost was $55, for how many hours was the bicycle rented

Answers

6 hours or 3 hours depends on what the answer it is but most likely 6
7 hours :)))))))))))))

How to calculate y=6x^2+1

Answers

Hi there!

~

⇒ Graph : [tex]y=6x^2+1[/tex]

∴ Rewrite the equation in vertex form.

[tex]y = 6 ( x + 0)^2 + 1[/tex]

∴ Use the vertex form, [tex]y = a(x - h)^2 + k[/tex] , to determine the values of [tex]a , h ,[/tex] and [tex]k[/tex]

[tex]a = 6 \\h = 0\\k = 1[/tex]

∴ Since the value of [tex]a[/tex] is positive, the parabola opens up.

∴ Find the vertex [tex]( h,k)[/tex].

[tex](0,1)[/tex]

∴ Find [tex]p[/tex], the distance from the vertex to the focus.

[tex]\frac{1}{24}[/tex]

∴ Find the focus.

[tex]( 0 , \frac{25}{24} )[/tex]

∴ Find the axis of symmetry by finding the line that passes through the vertex and the focus.

[tex]x = 0[/tex]

∴ Find the directrix.

[tex]y = \frac{23}{24}[/tex]

∴ Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

⇒ Vertex: [tex]( 0 , 1)[/tex]

⇒ Focus: [tex]( 0 , \frac{25}{24} )[/tex]

⇒ Axis of Symmetry: [tex]x = 0[/tex]

⇒ Directrix: [tex]y = \frac{23}{24}[/tex]

∴ Select a few [tex]x[/tex] values, and plug them into the equation to find the corresponding [tex]y[/tex]  values. The [tex]x[/tex] values should be selected around the vertex.

[tex]x : -2 , -1 , 0 , 1 , 2 \\y : 25 , 7 , 1 , 7 , 25[/tex]

Hope this helped you!

Evaluate 2(3n−9) when n=13. 2(3n−9) =2(3⋅ −9) =2( −9) =2( ) =

Answers

Steps to solve:

2(3n - 9); n = 13

~Substitute

2(3(13) - 9)

~Simplify

2(39 - 9)

~Subtract

2(30)

~Multiply

60

Best of Luck!

Answer:

[tex]\Huge \boxed{60}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]2(3n-9)[/tex]

The value of n is 13.

[tex]\Longrightarrow \ \ 2(3(13)-9)[/tex]

Solving for brackets,

[tex]\Longrightarrow \ \ 2(39-9)[/tex]

[tex]\Longrightarrow \ \ 2(30)[/tex]

Multiplying,

[tex]\Longrightarrow \ \ 60[/tex]

[tex]\rule[225]{225}{2}[/tex]

What is the sum of 7, 13, and -8? *

Answers

Answer:

12

Step-by-step explanation:

7 + 13 + (-8)

Keep in mind, adding a negative number is like subtracting that number.

7 + 13 - 8

= 20 - 8

= 12

The Birdwatching Club has 8 members, 2 girls and 6 boys. What is the ratio of
girls to boys in the Birdwatching Club?
O A. 2:1
O B. 3:1
"O c. 1:3

Answers

Answer:

c 1:3

Step-by-step explanation:

2/6 divide it by 1/3 and u get 1:3

which figures can have 2 sides of the same lenth but are not paeallelograms? rectangle square quadrialertral isosceles trapezoid

Answers

Answer:

rectangle

Step-by-step explanation:

MATHS | Cousin needs help❤️ question bellow

Answers

Equation: y = 6 - 2x

Fill in the x numbers in the x which is next to -2 —> y = 6 - 2(0), y = 6 -2(1), y = 6 -2(3), and etc.

A) 0 —> 6
1 —> 4
2 —> 2
3 —> 0
4 —> -2
5 —> -4

B) Put a dot on y axis on number 6, then go down by 2 because your subtracting 2

C) 6 - 2x = 3
-6 -6
-2x = -3
-2/-2 -3/-2

X = 1.5

Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars, after 5 years A. 20-20-20-20-20 B. 100 c. 5•(-20) d. -20•(-5) E. -100 pls answer my

Answers

Answer:

Option C is the correct answer.

C.  5•(-20)

Step-by-step explanation:

We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.

Change in payment = t * (-20)

The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.

So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,

Change in payment = 5 * (-20)

Change in payment = - $100

Answer:

Step-by-step explanation:

oh im late-......

The endpoints of AB are A(2,5) and B(4,3). What are the coordinates of the midpoint of
AB?

Answers

Answer:

(3,4)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(2+4)/2 = 6/2 =3

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(5+3/2 = 8/2 =4

The midpoint is (3,4)

Answer:

Hey there!

Using the midpoint formula we find the midpoint to be: (3, 4)

Let me know if this helps :)

How to solve -10+x+4-5=7x-5 and what it equals

Answers

Answer:

- 1

Step-by-step explanation:

Step 1:

- 10 + x + 4 - 5 = 7x - 5

Step 2:

- 11 + x = 7x - 5

Step 3:

- 11 = 6x - 5

Step 4:

- 6 = 6x

Answer:

- 1 = x

Hope This Helps :)

What are the steps of determine an inverse of a function?

Answers

Step-by-step explanation:

First, replace f(x) with y . ...

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y . ...

Replace y with f−1(x) f − 1 ( x ) . ...

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

The steps for finding the inverse of a function are given below.

What is an inverse of a function?

A function accepts values, performs particular operations on these values and generates an output. The inverse function agrees with the resultant, operates and reaches back to the original function.

Steps for finding the inverse of a function f.

Replace f(x) by y in the equation describing the function.

Interchange x and y. In other words, replace every x by a y and vice versa.

Solve for y.

Replace y by f⁻¹(x).

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Solve the given equation for h:
A = 1/2 bh

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
h=2a

b

A =  1/2 bh

Let's simplify the right side.

A = (bh) / 2

Multiply both sides by 2

2A = bh

Divide both sides by b

(2A) / b = h

1. Two angles form a linear pair. The measure of
the larger angle is four times the measure of the
smaller angle. What is the larger angle's
measure?

Answers

Answer:

144°

Step-by-step explanation:

let the smaller angle be x then the larger angle is 4x

The sum of a linear pair of angles = 180°, thus

x + 4x = 180 , that is

5x = 180 ( divide both sides by 5 )

x = 36

Thus the larger angle = 4x = 4 × 36 = 144°

Answer:

let the smaller angle be x.Then the bigger angle will be 4x.

x+4x= 180

or, 5x=180

or, x=180/5

there fore, x=36

Again,

4x=4×36

=144

The larger angle is 144.

What is (are) the value(s) of x when x3 = 27?
O X = 3
O X = 9
O x = 3 and -3
O x = 9 and -9

Answers

X=9



Explanation: Divide both sides by 3 to isolate the variable then divide 27 by three therefore your answer is positive nine


HOPEFULLY THIS HELPS

The quotient of n and 7 is 6 times n.

Answers

Answer:n ÷ 7 = 6n

Step-by-step explanation:

Answer:

76 + n

Step-by-step explanation:

True or false all right triangle aré congruent

Answers

Answer:

true

Step-by-step explanation:

Answer: True.

Make sure you check each triangle, not all of them are right ones.

Write 3 x x x x y y y y using exponents

Answers

Answer:

3 x^4 y^3

just add the number of x's and place that as the exponent and do the same with the y

If $5,500 is invested at 9% annual interest, which is compounded continuously, what is the account balance after 10 years, assuming no additional deposits or withdrawals are made?

Answers

Answer:

13527.82

Step-by-step explanation:

Please help me!!!!!

Answers

Answer:

Option C

Step-by-step explanation:

[tex]f(x)=40( \frac{1}{4} )^{x} \\ x = 0\\ y = 40( \frac{1}{4} )^{0} = 40

[/tex]

Other Questions
Of the major religions today, which two are monotheistic? Which explains a way the U.S. government has created incentives for people to save?A. It has enforced regulations for product advertising and labeling. B. It has established protections for monies placed into banks.C. It has sued companies that make fraudulent claims to gain refunds. D. It has worked to educate consumers about their responsibilities. fill in the blank in with the correct a form of estar. T __ en Chileest estnestsestoy the first term of an arithmetic sequence is equal to 200 and the common differencence is equal to -10. find the value of the 20th term The Olympic motto "Citius, Altius, Fortius is latin for?O Look, Observe, WinBig, Bigger, BiggestO Bigger, Stronger, FasterO Faster, Higher, Stronger PLEASE HURRY, ITS TIMED >>>>... The quotient of forty-five and a number, r earthquakes are most common I NEED AN ANSWER NOW!!! This is passed due!!! Dhruv is a car salesman. He is paid a salary of $2,200 per month, plus $500 for each car that he sells. His salary can be modeled by the equation f(x) = 500x + 2200, where x is the number of cars sold. Graph this equation and give its domain and range. A. D: {$500, $2700, $4900, $7100,...} R: {0, 1, 2, 3,...} B. D: {0, 1, 2, 3,...} R: {$2200, $2700, $3200, $3700,...} C. D: {0, 1, 2, 3,...} R: {$500, $2700, $4900, 7100,...} D. D: {$2200, $2700, $3200, $3700,...} R: {0, 1, 2, 3,...} What is the midpoint between the points (-4, 4) and (7, 7)? How did the political ideas of The Enlightenment influence the Declaration ofIndependence and the Constitution of the United States? How many cables enter the 2-gang wall switch box located next to the side garage door? Question 5 of 10Which option is an example of a conceptual model?A. A clay ball with a slice cut out, showing the layers of EarthB. A mental image of gas molecules as tiny ballsC. A diagram of a flagpole and its shadow with measurementsprovided to calculate the length of the shadowD. A weather map created by Doppler radar The difference of a number n and the number 8 is 42. Which ofthe following equations represents this statement?A)n/8 = 42B) n - 8 = 42C)n + 8 = 42D) 8n = 42E) n = 5 Which type of neuron detects a raindrop falling on skin? cell neuron motor neuron interneurons sensory neuron Cushing syndrome is caused by an increase in the synthesis of cortisol in the adrenal gland. Which of the following compounds is directly required as a substrate for the synthesis of this hormone?A) cholesterolB) glucoseC) free fatty acidsD) amino acids what are pollen grains? where areare they formed? Create a myth that explains why the sun rises and sets each day . Sam is skilled at making both necklaces and earrings. Sam has no preference between making necklaces or earrings since he earns the same amount from the two activities. If the selling price of earrings decreases from $40 to $20, then Sam's opportunity cost of making necklaces ______________ and making necklaces is now ______________ profitable than making earrings. Suppose that the necklaces market consists of several suppliers like Sam who are skilled at making both necklaces and earrings. Which of the following is likely to happen to the supply curve of necklaces when the price of a earrings decreases? A. It does not change B. It shifts to the left C. It shifts to the right combine like terms: 3x^2+4y-2x^2-x^2