The circumference of a circle is 24π ft. What is the area, in square feet? Express your answer in terms of
π
π.

Answers

Answer 1

Answer:

[tex]144\pi[/tex]

Step-by-step explanation:

Circumference = [tex]\pi d[/tex]

Diameter = [tex]2r[/tex]

Area of a circle = [tex]\pi r^2[/tex]

From our first equation, we can find our value for our diameter:

We do this by dividing [tex]24 \pi[/tex] by [tex]\pi[/tex] to get 24.

[tex]c=\pi d[/tex]

[tex]d=\frac{c}{\pi } = \frac{24\pi }{\pi } =24[/tex]

Using our second equation, we can find out the value for our radius:

[tex]d=2r[/tex]

[tex]r=\frac{d}{2} =\frac{24}{2} =12[/tex]

Now we have a value for our radius, we can use our third equation to find out our area:

[tex]A=\pi 12 ^2 = 144 \pi[/tex]

Answer 2

Given that:

The circumference of a circle is 24π ft.

To Find:

What is the area, in square feet?

We know that:

Circumference of a circle = 2πRArea of a circle = πR²

Where,

Radius is denoted as R.

Finding the radius of the circle:

Circumference of a circle = 24π

⟶ 2πR = 24π

⟶ 2πR = 2π × 12

Cancelling 2π.

⟶ R = 12

∴ Radius of the circle = 12 ft.

Finding the area of the circle:

⟶ Area = πR²

⟶ Area = π(12)²

⟶ Area = π × 12 × 12

⟶ Area = π × 144

⟶ Area = 144π

Hence,

Area of the circle is 144π square feet.

Related Questions

3/4+4/5+5/6=?




WHAT IS THE ANSWER I NEED IT ASAP PLEASE!!

Answers

Answer:

143 /60

Step-by-step explanation:

if rectangle a and rectangle b have a ratio of similarity of 5:4, what is the area of rectangle B if the area of the rectangle A is 24 square units

Answers

Answer:

the answer is 30 this is because if you rectangle b is 24 then rectangle a is 30 like if you simplify 30:25 if you divide it by 6 it will give 5:4

Step-by-step explanation:

Final answer:

The area of rectangle B is approximately 15.36 square units.

Explanation:

To find the area of rectangle B, we can use the ratio of similarity.

The ratio of similarity between rectangle A and rectangle B is 5:4.

Since the area of rectangle A is 24 square units, we can set up the equation:

(area of B) / (area of A) = (side length of B)² / (side length of A)².

Substituting the values, we get

(area of B) / 24 = (4/5)².

Solving for the area of B, we have

(area of B) = 24 * (4/5)²

                 = 24 * 16/25

                 = 384/25

                 = 15.36 square units.

Find the indicated side of the triangle a= I'll mark you brainliest for the correct answer

Answers

Answer:

[tex] a = 17 \sqrt{2}[/tex]

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{17}{a} \\ \frac{1}{ \sqrt{2} } = \frac{17}{a} \\ a = 17 \sqrt{2} \\ [/tex]

Final answer:

To find the length of side a in a right triangle, we can use the Pythagorean theorem.

Explanation:

To find the length of the side a, we can use the Pythagorean theorem. In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (h) is equal to the sum of the squares of the lengths of the other two sides (a and b). So, we have a² + b² = h². Rearranging the equation, we can solve for side a: a = sqrt(h² - b²). Plugging in the known values, we can calculate the value of side a.

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Which statement is true about the joint frequencies in
this table?
Twenty-three 9th graders and fifteen 11th graders
prefer math.
Fourteen 11th graders prefer math and eight 10th
graders prefer science.
Thirty-five 12th graders prefer math and nine 10th
graders prefer science.
Twenty-three 9th graders and thirty-two 12th
graders prefer math.

Answers

The statements Fourteen eleventh graders prefer math and eight tenth graders prefer English and Thirty-five twelfth graders prefer math and nine tenth graders prefer English are true.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

For the 12th graders, we have a total of 67 pupils with 32 preferring

English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils

Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils

Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils

Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils

Hence, the statements Fourteen eleventh graders prefer math and eight tenth graders prefer English and Thirty-five twelfth graders prefer math and nine tenth graders prefer English are true.

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A survey was conducted with high school students in

each grade to see how many prefer math or science.

Some of the data are shown below.

Which statement is true about the joint frequencies in

this table?

40

11 | 12 |

Total

O Twenty-three 9th graders and fifteen 11th graders

prefer math.

O Fourteen 11th graders prefer math and eight 10th

graders prefer science.

O Thirty-five 12th graders prefer math and nine 10th

graders prefer science.

Twenty-three 9th graders and thirty-two 12th

graders prefer math.

Math

18

90

Science 40

15

95

Total

63

26

29

67

185​

William only has 1 3/4 cups of flour, so he can only make 2/3 of a batch of biscuits. How much flour is needed for a full batch of biscuits?

Answers

Answer:

1 1/2 cups

Step-by-step explanation:

Subtract 1 3/4 and 2/3 and you get 1 1/2

Answer:

1 1/2 cups for a full batch

Please Help...

A research group is trying to determine the correlation between the number of hours spent

studying and the number of hours sleeping. Use the data shown on the graph to compute

the correlation coefficient.

A) r = 1 C) r = − 1

B) r = 0.5 D) r = −0.5

Answers

Answer:

C) r = − 1

Step-by-step explanation:

In the graph, you can observe that all five points are perfectly lined up on a straight line, which is decreasing, because each points is lower than the previous one.

This situation represents a coefficient of correlation of -1, which means there's a strong negative correlation between variable.

Once again, graphically, this strong negative correlation can be deduct from the behaviour of the data, which is clearly decreasing with a straight line behaviour. In other words, the line that best fits is almost unique.

Therefore, the right answer is C.

Answer: C

Step-by-step explanation: did usa test prep

find the exact length of the third side

Answers

Answer: 3 times the square root of 5! (Or the square root of 45 if you don’t want to simplify)

Step-by-step explanation:

First, you would need to use the Pythagorean Theorum, a^2 + b^2 = c^2, since it is a right triangle.

So in this case,

6^2 + 3^2 = c^2

This simplfys to:

36 + 9 = c^2

45 = c^2

Now you have to take out the square in the c. What you do to one side, you have to do to the other, so you have to put 45 in a square root. This simplies to 3 times the square root of 5.

HELP I WILL GIVE U BRAINLIEST!!!!!!!!

Answers

Answer:

k = 6

Step-by-step explanation:

The parabola moved to the left by 6 units. It is important to know that when a problem says (x + 6) it means move to the left and when a problem says (x - 6) it means move to the right.

Extra information:

When a problem is like: f(x) + 7, it means to go UP 7, and f(x) - 7 would be to go down 7. Notice the number is outside the parentheses.

Answer:

pretty sure its 6, if you need an explanation... sorry :(

Step-by-step explanation:

A computer monitor has a rectangular viewing area of 135 square inches. The viewing area is 9 inches tall. What is the
width of the viewing area?​

Answers

Answer: 15 inches wide

Step-by-step explanation:

to find the area of a rectangle you would multiply the height by the width so this would be the opposite because we have the area which is 135 in.² so we would divide 135 by 9 which would give us 15.

15 is the answer. Tehehe he

Five pennies, 3 dimes, and 4 quarters are placed in a bag. What is the probability of selecting a quarter and then another quarter, given the first coin is not returned to the bag after it is drawn?

2/11

1/11

1/22

5/33

Answers

Answer:

2/11

Step-by-step explanation:

8 - 10x = 7 + 5x
4- 10x = 3 + 5x

Answers

Answer:

1/15

Step-by-step explanation:

15x = 1

x = 1/15

What is the median of the data

Answers

Answer:

6

Step-by-step explanation:

Line up the numbers from smallest to largest:

2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10

Take away one number from each side until you get to the middle.

Since there is an odd number of numbers there is only one number left and that number is 6. Stay safe and have a wonderful day! Peace! ✌

Find the mean, median, mode, and range of the
data set.
{7, 3, 5, 4,5}

Answers

Look at the attached picture

Hope it will help u...

Answer:

mean=4.8 median=5 mode=5

Step-by-step explanation:

Mean-

Add all the numbers together

7+3+5+4+5=24

Then divide by the number of numbers

24/5=4.8

Mean=4.8

-

Median

List the numbers from least to greatest

3,4,5,5,7

The middle number is you median

3,4,5,5,7

Median=5

-

Mode

Which numbers appear the most

3,4,5,5,7

Mode=5

Explain why you cannot use y = mx + b to find the equation of a vertical line.

Answers

Answer:

because the slope would be 1/0 which is undefined

Step-by-step explanation:

Answer:

Because a vertical line has an undefined slope. If you were to use rise over run you get any number over 0 (ex. 7/0). You cannot divide any number by zero which means you will get an undefined answer.

Lana is 12 years old. Her sister is y years
old. Lana is twice as old as her sister.
How old is Lana's sister?

Answers

Answer:

Lana's sister is six.

Step-by-step explanation:

12/2= 6

Lana is two times her sisters age, so you have to divide Lana's age by two.

Answer:

6

Explanation:

because Lana 12, and her sister is 1/2 of that. Therefore, the equation to find the answer is 12/2, or 6.

Solving systems of equations algebraically.
6x + 8y = -22
y = -5
And SHOW YOUR WORK!!!!

Answers

Answer:

x = 3

y = -5

Step-by-step explanation:

Since you have the value of y already, just plug it into the equation, like so:

6x + 8y = -22

6x + 8(-5) = -22

6x - 40 = -22

Add 40 to both sides:

6x - 40 = -22

    + 40  + 40

___________

6x = 18

Finally, divide both sides by 6:

6x = 18

x = 3

So now you have, x = 3 and y = -5.

Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard deviation of
5%. What is Brian's z-score?

Answers

Answer:

Brian's z-score is 2.4

Step-by-step explanation:

The equation for z score is presented as follows;

[tex]z = \frac{x- \mu}{\sigma}[/tex]

Where:

x = Score = 80%

μ = Mean = 68%

σ = Standard deviation = 5%

Plugging in the values gives;

[tex]z = \frac{80- 68}{5} =2.4[/tex]

Therefore, Brian's z-score on the Chemistry Exam, where the mean is 68%, the standard deviation is 5% and Brian's score is 80% = 2.4.

Final answer:

Brian's z-score is 2.4, calculated using the formula Z = (X - \) / \ by substituting X with Brian's score, \ with the mean score, and \ with the standard deviation. A z-score of 2.4 means Brian scored well above average.

Explanation:

Brian scored an 80% on a Chemistry Exam, where the average was 68%, with a standard deviation of 5%. To find Brian's z-score, use the formula:

Z = (X - \) / \

Where X is Brian's score, \ is the mean score, and \ is the standard deviation. Plug in the values:

Z = (80 - 68) / 5 = 12 / 5

Brian's z-score is 2.4, which means his score is 2.4 standard deviations above the mean. A z-score tells how many standard deviations an element is from the mean. If it's positive, the score is above average; if negative, below average.

Hey everyone hopefully your doing great just want to ask a quick question and hopefully you guys answer!!!

Answers

Answer:

m<XDQ = 41*

m<UXD = 138*

Step-by-step explanation:

for m<XDQ... 90-49= 41

for m<UXD... 180-41=139

what fraction is equivalent to 2 over negative 3

Answers

Answer:

-2/3 or negative two thirds. Other examples of -2/3 could be -4/6, -8/12, and -10/15.

Step-by-step explanation:

To get equivalent fractions, just multiply the numerator and denominator by the same number.

Here are some fractions that are equivalent to 2 over negative 3:

positive 2 over negative 3
negative 2 over positive 3
positive 2 over positive 3
negative 2 over negative 3
positive 4 over negative 6
negative 4 over positive 6
positive 4 over positive 6
negative 4 over negative 6
positive 6 over negative 9
negative 6 over positive 9
positive 6 over positive 9
negative 6 over negative 9
positive 8 over negative 12
negative 8 over positive 12
positive 8 over positive 12
negative 8 over negative 12
positive 10 over negative 15
negative 10 over positive 15
positive 10 over positive 15
negative 10 over negative 15
positive 12 over negative 18
negative 12 over positive 18
positive 12 over positive 18
negative 12 over negative 18
positive 14 over negative 21
negative 14 over positive 21
positive 14 over positive 21
negative 14 over negative 21
positive 16 over negative 24
negative 16 over positive 24
positive 16 over positive 24
negative 16 over negative 24
positive 18 over negative 27
negative 18 over positive 27
positive 18 over positive 27
negative 18 over negative 27
positive 20 over negative 30
negative 20 over positive 30
positive 20 over positive 30
negative 20 over negative 30
positive 22 over negative 33
negative 22 over positive 33
positive 22 over positive 33
negative 22 over negative 33
positive 24 over negative 36
negative 24 over positive 36
positive 24 over positive 36
negative 24 over negative 36
positive 26 over negative 39
negative 26 over positive 39
positive 26 over positive 39
negative 26 over negative 39
positive 28 over negative 42
negative 28 over positive 42
positive 28 over positive 42
negative 28 over negative 42
positive 30 over negative 45
negative 30 over positive 45
positive 30 over positive 45
negative 30 over negative 45
positive 32 over negative 48
negative 32 over positive 48
positive 32 over positive 48
negative 32 over negative 48
positive 34 over negative 51
negative 34 over positive 51
positive 34 over positive 51
negative 34 over negative 51
positive 36 over negative 54
negative 36 over positive 54
positive 36 over positive 54
negative 36 over negative 54
positive 38 over negative 57
negative 38 over positive 57
positive 38 over positive 57
negative 38 over negative 57
positive 40 over negative 60
negative 40 over positive 60
positive 40 over positive 60
negative 40 over negative 60
positive 42 over negative 63
negative 42 over positive 63
positive 42 over positive 63
negative 42 over negative 63
positive 44 over negative 66
negative 44 over positive 66
positive 44 over positive 66
negative 44 over negative 66
positive 46 over negative 69
negative 46 over positive 69
positive 46 over positive 69
negative 46 over negative 69
positive 48 over negative 72
negative 48 over positive 72
positive 48 over positive 72
negative 48 over negative 72
positive 50 over negative 75
negative 50 over positive 75
positive 50 over positive 75
negative 50 over negative 75

heyy does anybody know the answer please i need this to graduate

Answers

it’s the first choice

Answer:

i think it is de 1st one

Step-by-step explanation:

HELPPP PLEASEEEEE!!!!!

Answers

Answer:

like 60 or something

Step-by-step explanation:

the answer is 51. hope this helped :)

What do we use to determine the order of operations

Answers

Answer:

PEMDAS determines order of operations

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

so I use pemdas which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step explanation:

You might remember this as "Please excuse my dear Aunt Sally.) This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right).

which expression is equivalent to -1/4x+1/2?
(A) 1/4(-x+1/2)
(B) -1/4(-x+1/2)
(C) -1/4(x+2)
(C) 1/4(-x+2)
Will mark brainliest to first person.

Answers

Do you mean D for the last choice?

The answer is D, if that is what you meant.

The 1/4 must be positive since the 1/2 is positive in the equation and the second numbers are all positive in the choices.

Also, 1/4 of 2 is 1/2, so D has to be the answer.

I hope this helps.

Order the numbers from least to greatest.

7.4 x 104

7.6 x 10-4

765,000

Answers

Answer:

dhccidifivivicickcvkvvkvk

+10+10+10+10+10 cuz iam bored still answer it

Answers

Answer: 50 or 10/10

Step-by-step explanation:

1+1+1+1+1= 5 then just make it like this 10+10=20+10=30+10=40+10=50

+10+10+10+10+10 cuz iam bored still answer it

An item has a listed price of $35.If the sale tax rate is 5%, how much is the sales tax (in dollars)

Answers

The tax is 5% of 35 so we have to find out what 5% of 35 is. To do so, divide 5 by 100, then multiply the quotient by 35.

5% ⇒ 0.05

35 × 0.05 = 1.75

Answer:

The sales tax is $1.75.

I hope this helps :)

Guysss I need help ASAPPPP I need to get this done todayyy :(((

Answers

Answer:

see below

Step-by-step explanation:

t = 7m

Let  m = 6

t = 7*6 = 42

Let m = 8

t = 7*8

t = 56

Answer:

For this, all you have to do is multiply each number on the left by 7.

T = 7m

M= 6 x 7

T = 42

M = 8 x 7

T = 56.

Which is the correct first step in finding the height of a cylinder with a volume of 178 cubic inches and a radius of 8 inches?
Va sern
8= (178)
WV = arh
V = x+(8)2 + 178
V= seh
V= 548)? (178)
V = xin
178 = $(8)

Answers

The correct first step is to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex] (Last option)

The correct first step in finding the height of a cylinder with a given volume and radius is to use the formula for the volume of a cylinder:[tex]\(V = \pi r^2 h\)[/tex], where V is the volume, r is the radius, and h is the height.

To solve for h, we must rearrange the equation to isolate h.

Therefore, the correct first step would be to divide both sides of the equation by [tex]\(\pi r^2\)[/tex] to solve for h:

[tex]\[ h = \frac{V}{\pi r^2} \][/tex]

In the case given where the volume (V) is 178 cubic inches and the radius (r) is 8 inches, it would look like:

[tex]\[ h = \frac{178}{\pi \times 8^2} \][/tex]

After performing the calculations, this will give us the height (h) of the cylinder.

So the correct first step would be to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex]

Which values are equivalent to the fraction below? Check all that apply. 2^5/2^9

Answers

Answer:

Step-by-step explanation:

1/16, 32/512,

In how many map squares did we spot less than 20 plant species

Answers

The number of spice plants spotted in the map are 3.

What is histogram?

A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.

We need to spot less than 20 plant species.

From the given histogram,

Between the interval 0-9 there is 1 spice plant.

Between the interval 10-19 there is 2 spice plant.

So, total = 1+2=3

Therefore, the number of spice plants spotted in the map are 3.

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