Point B is the center of the circle shown, and the length of arc AC is 8π. What is the area of the circle?

Point B Is The Center Of The Circle Shown, And The Length Of Arc AC Is 8. What Is The Area Of The Circle?

Answers

Answer 1

Answer:

[tex]A=324\pi \text{ units}^2\approx1017.88\text{ units}^2[/tex]

Step-by-step explanation:

The formula for arc length is:

[tex]\stackrel{\frown}{A}=2\pi r(\frac{\theta}{360}})[/tex]

Where Θ is measured in degrees.

We know that the arc length is 8π when the degree is 80. So, substitute 8π for A and 80 for Θ:

[tex]8\pi=2\pi r(\frac{80}{360})[/tex]

Divide both sides by 2π:

[tex]4=r\frac{80}{360}[/tex]

Simplify the fraction:

[tex]4=\frac{2}{9}r[/tex]

Multiply both sides by 9/2:

[tex]r=18[/tex]

So, the radius is 18.

Now, we can find the area of the circle. The formula for the area of a circle is:

[tex]A=\pi r^2[/tex]

Substitute 18 into r:

[tex]A=\pi (18)^2[/tex]

Simplify:

[tex]A=324\pi \text{ units}^2\approx1017.88\text{ units}^2[/tex]

And we're done!

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

In July, the average temperature in one US city was 29°C. By December, the average temperature had fallen by 29°C. Explain why the average temperature in December was 0°C.

Answers

Answer:

Down Below :))

Step-by-step explanation:

This is quite simple.

Take a look at both of the numbers, see how their both 29?

Subtracting 29 - 29 = 0

Explanation: The average temperature was 0 because when subtracting 29 - 29, it gives you 0.

The temperature went up 29°C, which represents a positive 29. Then the temperature fell 29°C, which represents a negative 29. The average temperature rose and fell the same amount. The absolute values are the same, so the difference is 0.

IamSugarBee

Simplify the expression. 12(a−4) The simplified expression is

Answers

Answer: 12a -48

Step-by-step explanation: Distribute the 12 to a and -4 to get 12a -48.

Hope this helps!

Answer:

12a−48

Step-by-step explanation:

12(a−4)

=(12)(a+−4)

=(12)(a)+(12)(−4)

=12a−48

Mark Brainliest?

Convert the number to scientific notation.

0.08 = ... x 10 to what power

Answers

Step-by-step explanation:

[tex] \huge0.08 = 8 \times {10}^{ - 2} [/tex]

The answer is 8*10^-2

Jasmin's dog weighs 55 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 42 pounds. Jasmin's dog can lose an average of 7 pounds every week. Write the solution to an inequality that describes all possible number of weeks x for which her dog can be at a healthy weight.

Answers

Answer:

x = 2

Step-by-step explanation:

55-42=13

13 brought up to 14 so it can be divided by 7

14 / 7 = 2

The correct answer x=2
Explanation -14/7= 2

please help me.
[tex]2x \div 3 \times 9[/tex]

Answers

I think x=13.5 because 3x9=27 27/2=13.5 so that leaves x as 13.5
The answer is: 6x
Make 2x divided by 3 a fraction: 2/3x x 9
Cancel out 3 and 9 by 3: 2x x 3
Then do 2x times 3 which is: 6x

!!! PLEASE HELP QUICK !!!

Answers

The product of [tex]2\frac{5}{8}[/tex] and [tex]- 2\frac{3}{5}[/tex] is [tex]- 3 \frac{27}{40}[/tex]. Options incorrect.  

1, Converting the mixed numbers to improper fractions.

[tex]2\frac{5}{8}[/tex] can be written as [tex]\frac{2*8 + 5}{8}[/tex] = [tex]\frac{21}{8}[/tex].

[tex]- 2\frac{3}{5}[/tex] can be written as [tex]\frac{-2*5 + 3}{5}[/tex] = [tex]-\frac{7}{5}[/tex].

2, Multiplying the two fractions.

[tex]\frac{21}{8} * -\frac{7}{5}[/tex] =  [tex]- \frac{147}{40}[/tex]

3. Expressing the result as a mixed number.

To express  [tex]- \frac{147}{40}[/tex] as a mixed number, divide the numerator by the denominator:

-147 ÷ 40 = -3 with a remainder of -27.

So, the final answer is:

[tex]- 3 \frac{27}{40}[/tex].

Therefore, the product of [tex]2\frac{5}{8}[/tex] and [tex]- 2\frac{3}{5}[/tex] is [tex]- 3 \frac{27}{40}[/tex].

In this calculation, we used the concept of converting mixed numbers to improper fractions, multiplying fractions, and simplifying the resulting fraction.

Learn more about improper fractions at

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Organic Whole Wheat Flour Sells in bags Weighing 2.915 Kg A. How much flour is this when rounded to the nearest tenth B. How much flour is this when rounded to the nearest tenth Explain your thinking

Answers

Answer:

2.9 kg

Step-by-step explanation:

If you round 2.915 to the nearest tenth, it would be 2.9. this is because the number to the right of the 9 (1) is below 5.

The amount of flour after rounded to the nearest tenth will be 2.91 kg.

What is rounding off?

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

Organic Whole Wheat Flour Sells in bags Weighing 2.915 Kg.

Now,

Since, Organic Whole Wheat Flour Sells in bags Weighing 2.915 Kg.

We know that;

When we round to the nearest tenth we see the right digit of tenth place if it is less than 5 then write same as number but if the number is greater than 5 then add one on the tenth place number.

Hence,

The amount of flour after rounded to the nearest tenth = 2.9

Because,  1 < 5

Thus, The amount of flour after rounded to the nearest tenth = 2.9 kg

Learn more about the rounding number visit:

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I need help NOW!!!!!! Thanks!



D
Parallelogra
Base (units) Height (units) Area (units)
m
A
4
6
A-24
B
5
3
A-15
C С
D
Any
Parallelogra
m
b
h
A= bh

Answers

Answer:

Answer: Good thing you provided the image!

Working down the columns:

C base= 2

D base = 4

C height =3

D height = 2

C area = bh = 8

D area = bh = 8

Step-by-step explanation:

Try thinking about drawing a rectangle around the entire image of C and D, connecting each of the corners (sort of like what is being done for B) and then you can perceive the b and h.

The trick to D is to turn your head 90 degrees (or sideways) so you can see those 4 boxes as the base.

Step-by-step explanation:

help please and tyyy

Answers

Answer:

multiply each number together

How you get your answer is multiply all the numbers together hope this helps:)

what is 4+7+3+8+3+7+3+9+= with a explaination.

Answers

Answer:

44

Step-by-step explanation:

4+7=11

11+3=14

14+8=22

22+3=25

25+7=32

32+3=35

35+9=44

It’s 44 because if you do 4+7 it’s 11, and 11+3 is 14, and 14+8 is 22, 22+3 is 25, 25+7 is 32, 32+3 is 35, and 35+9 is 44!

what value of y makes the equation true?

3 ( 2y - 5 ) + 15 = 12

y =

Answers

3 (2y-5) + 15 =12
6y-15+15=12
6y=12
y=2

To find value of y:-

________________________________

Step 1:

3 ( 2y - 5 ) + 15 = 12

Right the equation

________________________________

Step 2:

6y-15+15=12

open the brackets and multiply 3 with 2y - 5

________________________________

Step 3:

6y=12

Subtract 15 with 15 to get 0

________________________________

Step 4:

y=12÷6

divide 12 with 6 to get value for y

________________________________

Step 5:

y=2

Value of y comes 2

________________________________

Confermimng :

3(2×2-5)+15=12

3(4-5)+15=12

3(-1)+15=12

-3+15=12

12=12

hence proved

________________________________

⚡Final answer:

Y=2✓

We have to keep value of y as 2 to make the equation true✓

Help me with this please

Answers

A is 54 because 3x18=54

B is -6°? I know it cooled 6° each hour because 12÷2 = 6 but I’m not sure if your teacher would want you to mark that as a negative or positive.
1st answer 54
2nd answer -6

HELP ASAP!!! The number of y calories burned after x hours of rock climbing is represented by the linear function y=650x. 1) Find the domain of the function. may write in math notation or in words. 2) Is the domain discrete or continuous?

Answers

Ola amigo!!!!!! Ci u lotta cute
i have attached the answer in the image

Please help! Thanks!

A scarf that has the shape of a square and an area of 7600 cm2. Find the length of a side of the scarf to the nearest integer.

Answers

Answer:

3,800

Step-by-step explanation:

Here's how I believe I got the answer

Since the whole area is 7,600 cm2

I think that is saying that you divide in half, since that's the area. Your probably going to think about the perimeter, which divided by two, you get 3,800

My bad if I'm wrong!

Answer:

3,800

Step-by-step explanation:

enter the number as a scientific notation

80,000 = .... x 10 to what power

Answers

The answer to this problem is 8,000
Ten to the power of 4, scientific notation:8.0 or 8

Evaluate the product: (a-10)*(a-9).....(a-1)*a

[tex](a-10)*(a-9).....(a-1)*a[/tex],

where a=2

Please help soon. Thank you!

Answers

Answer:

10x9-5(8)=34

Step-by-step explanation:

When you evaluate it gives you this a^4-20a^3+109a^2-90a hope this helped :)

3(x-4)=-24 Please help me in a zom 7 mins left

Answers

Answer:

x = -4

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation: hope this helps tell me if you get it right and PLZ if you wanna BRAINLIEST

The total temperature change over 3 days in Gritty City was −6 degrees Celsius. What was the average temperature change each day?
−3 degrees Celsius
−2 degrees Celsius
2 degrees Celsius
3 degrees Celsius

Answers

Answer: you still need this ?

Step-by-step explanation:

Please help me!!!!! (25 points)
Right answers only!!!!!!

Answers

the correct answer would be 8

Answer

8

Step-by-step explanation:

Mk so 1 step is 26 - 18 to find the difference then you check the difference of 35 to 43 , 86 to 94 and you should get 8

Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height. The width of the playhouse is 22 centimeters and the height is 10 centimeters. Not drawn to scale The yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height? (3.5) (10) = 3.5 x (3.5) (22) = 3.5 x (10) (3.5) = 22 x (1) (22) = 3.5 x

Answers

Answer:

c

Step-by-step explanation:

mha

Answer:

c

Step-by-step explanation:

I NEED HELP NOW! Five students labeled a base, B, and a corresponding height, H, for each of these Parallelograms. Are all the drawings? Explain your reasoning.

Answers

Answer:

not d

Step-by-step explanation:

because hight for all of the other shapes is up and down , not horizontal

D is a big no no. Big dum

A. (-1,3)
B. (3, -1)
C. (-7, 3)
D. (3, -7)

Answers

Answer:

A. (-1,3)

Step-by-step explanation:

you would move the "P" 3 units to the right then you would move 5 units up as explanied.

Answer:

the answer is a.)

Step-by-step explanation:

look at the left side of the rectangle move it to the right 3 units now look at the bottom move it up 5 units. it should be written (x,y)

help pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:H

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

i agree

I need help assap !!!!

Answers

Answer:

C & D

Step-by-step explanation:

Both have an odd amount of numbers, meaning there is a perfect middle.

Pick two of the following questions and respond:

What information do we need to calculate the volume of a prism? Explain how you could use layers to find the volume of a prism.

Two prisms have the same base area and height, but different base shapes. Which prism has a greater volume? Explain.

Two clay prisms use the same amount of clay to make them, but the first has a larger height than the second. Which prism has a larger base area?

Answers

Answer:

1. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Step-by-step explanation:

Answer:

1. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Step-by-step explanation:

Same as the last guy

Write an algebraic expression for each word phrase.

Answers

5n +7

.... Hope this will help....

Answer:

(5 * n) + 7

Step-by-step explanation:

Since we do not know the value of n, we can't write an equation for this. You could also write it as 5n + 6.7 if you'd like. Since letters and numbers don't mix, we can't add 6.7 to 5n. I rounded 6.7 to 7 in my answer. Hope this helped.

Malik considers the enlargement of the trapezoid. Not drawn to scale What is the correct cross product that he should use to solve for the missing dimension?

Answers

Answer:

Malik considers the enlargement of the trapezoid. The side with the length 10 cm becomes the side with the length 25 cm, the side with the length 18 cm becomes the side with x cm.

Write a proportion of corresponding sides:

Cross multiply:

so correct option is C,

(18)(25) =10x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Can anyone help me pls. Show your work.

Answers

Answer:Do you have a pic of the map? It would  make it easier to solve if I could see the map. Its basic area. A=base times height. If the park is 50 m long and is a square, you would do 50 times 50=2500

tep-by-step explanation:

Yea what ever he said was right I have the same problems

For breakfast, Mr hill bought a cup of coffee for 1.39 and a bagel for 1.85. How much change will he get for 5.00

Answers

Me hill will get 1.76 in change

Hence, the change he get is $[tex]1.76[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

For breakfast, Mr hill bought a cup of coffee for [tex]1.39[/tex] and a bagel for [tex]1.85[/tex].

So,  the total he bought is [tex]1.39+1.85=3.24[/tex]

He has the savings [tex]5.00[/tex]

So, it would be

[tex]5.00-3.14=1.76[/tex]

Hence, the change he get is $[tex]1.76[/tex].

To know more about the equation

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Maria draws △PQR. Then she applies a dilation with scale factor 14 and center of dilation P to the triangle. Next, she translates the image 2 centimeters up and 3 centimeters right. She labels the final image as △XYZ.

Which of the following must be true about △PQR and △XYZ?


△PQR and △XYZ are similar but not congruent.

△PQR and △XYZ are congruent but not similar.

△PQR and △XYZ are neither similar nor congruent.

△PQR and △XYZ are congruent and similar.

Answers

Answer:

△PQR and △XYZ are similar but not congruent.

Step-by-step explanation:

When Maria dilated the triangle the size changed and so they can't be congruent. But it wouldn't have changed it's shape, so it'll be similar.

Answer: △PQR and △XYZ are similar but not congruent.

Step-by-step explanation:

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