Find the circumference of a circle whose area is 24 ft2

Answers

Answer 1

Answer: [tex]17.33ft[/tex]

Step-by-step explanation:

We need to go from area to radius to circumference.

Formula for the area:

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

Solve for r;

Divide by pi

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

Extract the square root.

[tex]r=\sqrt{\frac{A}{\pi} }[/tex]

Plug in the value of the area.

[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]

Now that you've found the radius, use the circumference formula to calculate it.

[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]


Related Questions

I need help very urgent

Answers

Remember: volume=length x width x height

So  i think its 15, 15, and neither of them have greater volume.

Two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 cm^3 and 136 cm^3, respectively. The height of N is 18 cm. Find the corresponding height of M.

Answers

We have been given that two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 cm^3 and 136 cm^3, respectively. The height of N is 18 cm. We are asked to find the height of M.

First of all, we will find the ratio between sides of rectangle M and N using proportions.

[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{ Volume of N}}{\text{ Volume of M}}[/tex]

[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{136\text{ cm}^3}{17\text{ cm}^3}[/tex]

[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{8\text{ cm}^3}{1\text{ cm}^3}[/tex]

Now we will take cube root on right side to find length in cm.

[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{\sqrt[3]{\text{8 cm}^3}}{\sqrt[3]{\text{1 cm}^3}}[/tex]

[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{2 cm}}{\text{1 cm}}[/tex]

Therefore, sides of rectangle N is 2 times greater than sides of rectangle M.

To find height of rectangle M, we will divide side of rectangle N by 2.

[tex]\text{Height of rectangle M}=\frac{18}{2}=9[/tex]

Therefore, height of rectangle M is 9 cm.

If t = 24 cm and r = 25 cm, what is the length of s?

Answers

Answer:

24.5

Step-by-step explanation:

middle

Answer:

7cm

Step-by-step explanation:

Pythagorean theorem
a^2 + b^2 = c^2
X= ?

Answers

[tex]\text{Find the one bottom side of the triangle first}\\\\\text{We know that the total length is 21, but part of it is 11, so subtract}\\\\21-11=10\\\\\text{Divide 10 by 2 because there are two sides for two triangles}\\\\10\div2=5\\\\\text{Now, since we know two of the sides, we would plug in the values}\\\text{into the Pythagorean theorem and solve:}\\\\5^2+b^2=13^2\\\\25+b^2=169\\\\\text{Subtract 25 from both sides}\\\\b^2=144\\\\[/tex]

[tex]\text{Square root both sides}\\\\\sqrt{b^2}=\sqrt{144}\\\\b=12\\\\\text{This means that x = 12}\\\\\boxed{x=12}[/tex]

Steve has 2 and one half cups of flour for one of his recipes requires one 8th cup of flour, what is the maximum number of times Steve can complete the recipe.

Answers

Answer:

20 times

Step-by-step explanation:

We know that the recipe requires an eighth of a cup of flour (1/8 or 0.125) but in total Steve has 2 and a half, that is (2 1/2 or 2.5). To know the result we must divide the total amount by what is needed for 1 recipe, that is:

2.5 / 0.125 = 20

Which means that Steve with the flour he has can make the same recipe a total of 20 times

Answer: the answer is 20

Step-by-step explanation:

The pot has a diameter of 10 inches a height of 12 inches. there are 120 meatballs each meatball is 2.4 inches. the sauce takes up half the pot already. determine if the sauce overflows or not. pls help its due in an hour! ):

Answers

the answer is c

Step-by-step explanation:

Find the indicated sum for each geometric series.
S6 for 2 + 1 + 12 + 14

Answers

Answer:435

Step-by-step explanation:

1. Escribe como potencia los siguientes productos y luego resuelve como se indica en el ejemplo. a) 6.6.6 = 6 3 = 216 f) 11.11= b) 3.3.3.3 = g) 0.0.0.0.0= c) 17.17= h) 2.2.2.2.2.2= d) 4.4.4.4.4= i) 5.5.5= e) 1.1.1.1.1.1.1= j) 10.10.10.10= 3. Escribe y calcula las potencias. a) Tres al cubo: d) Seis al cubo: b) Cinco al cuadrado: e) Ocho al cuadrado: c) Dos a la quinta: f) Diez a la cuarta:

Answers

Answer:

(Véase la explicación para mayores detalles/See the explanation for further details)

Step-by-step explanation:

a) Tres al cubo (Three to cube):

[tex]x = 3 \times 3 \times 3[/tex]

[tex]x = 3^{3}[/tex]

[tex]x = 27[/tex]

b) Seis al cubo (Six to cube):

[tex]x = 6 \times 6 \times 6[/tex]

[tex]x = 6^{3}[/tex]

[tex]x = 216[/tex]

c) Cinco al cuadrado (Five squared):

[tex]x = 5 \times 5[/tex]

[tex]x = 5^{2}[/tex]

[tex]x = 25[/tex]

d) Ocho al cuadrado (Eight squared):

[tex]x = 8 \times 8[/tex]

[tex]x = 8^{2}[/tex]

[tex]x = 64[/tex]

e) Dos a la quinta (Two to five):

[tex]x = 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]x = 2^{5}[/tex]

[tex]x = 32[/tex]

f) Diez a la cuarta (Ten to four):

[tex]x = 10\times 10 \times 10 \times 10[/tex]

[tex]x = 10^{4}[/tex]

[tex]x = 10000[/tex]

Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top and bottom. The triangle prism and the piece of cardboard that he used are show below. What is the area of the piece of cardboard?

Answers

This question is incomplete because it lacks the attached diagram.

Find attached to this answer the appropriate diagram

Answer:

500 square centimeters

Step-by-step explanation:

From the question above, we are told that the top and bottom of the triangular prism is open.

Hence, the area of the piece of the cardboard is = Lateral Surface Area of the triangular prism

The formula for Lateral Surface Area of a Triangular Prism = Perimeter of the Triangular prism × Height of the Triangular prism.

Perimeter of the Triangular prism = Side a + Side b + Side c

Where Side a = 9cm

Side b = 9cm

Side c = 7 cm

Perimeter of the Triangular prism = 9cm + 9cm + 7cm

= 25cm

Height of the Triangular prism = 20cm

The Lateral Surface Area of the Triangular prism = 25cm × 20cm

= 500cm² or 500 square centimeters.

Since we are told that Lateral Surface Area = Area of the cardboard,

The Area of the cardboard = 500 cm² or 500 square centimeters.

Need help! Up to 100 points
Link or something. It's has been a nightmare with these questions...

Answers

Answer:

Part B

Part 1 describes a quartic function that's been reflected over the x-axis and translated up and to the right. (It's quartic because it has those bumps; it's like a quadratic in that its end behavior is down-down, but it has more bumps than a quadratic.)Part 2 describes an exponential decay function that approaches a horizontal asymptote. (This one looks just like Part 3 in the previous graph.)

Part C

You're going to have to do this scatter plot on your own with the given software, because I don't know how your software works, but I can tell you that #1 will look like a quadratic, #2 a cubic, #3 a quartic, #4 a really fun third root that looks like a cubic on the y-axis instead of the x-axis.

Part D

You can look on Worldometer for graphs of the coronavirus; they have graphs in every individual country. I advise using the total cases on a logarithmic scale, because the question specified that it can't be linear.

You leave school and walk 1.237 miles west. Your friend leaves school and walks 0.56 miles east. How far apart are you and your friend? Justify your answer.

Answers

Answer:

You and your friend are 1.797 miles apart. Since east and west are opposite directions, we just add the distances.

Step-by-step explanation:

They are walking on opposite directions, so to see how far apart, we add how much each of you walked.

We have that:

You walk 1.237 miles west.

He walks 0.56 miles.

1.237 + 0.56 = 1.797.

You and your friend are 1.797 miles apart. Since east and west are opposite directions, we just add the distances.

How far can light travel in 1 year? Remember there are 3.15576 x 10^7 seconds in a single year.

Answers

Answer: [tex]9.465\times 10^{15}\ m[/tex]

Step-by-step explanation:

Given

Seconds in a year is [tex]3.155\times 10^7[/tex]

We know

[tex]Distance=speed\times time [/tex]

Speed of light in vacuum is [tex]3\times 10^8\ m/s[/tex]

So distance traveled [tex]=3\times 10^8\times 3.155\times 10^7[/tex]

[tex]distance=9.465\times 10^{15}\ m[/tex]

what expression is equivalent to 3x - (2x+4) + 5

Answers

Answer:

x+1

if it helps let me know by voting

Step-by-step explanation:

Answer:

3x+(-2x-4)+5 would be one of plenty other possibilities, it would help if we knew what x was equal to

Step-by-step explanation:

What is the value of x in the equation 3-2x=-1.5x?
оооо
-6

Answers

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = 6

Step-by-step explanation:

In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).

3 - 2x = -1.5x

(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)

-1.5x = 3 - 2x

First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.

0.5x = 3

For our next part here, let's convert 0.5 to a fraction to make life easier for us.

[tex]\frac{1}{2}[/tex]x = 3

When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!

[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)

What we do to one side we must do to another.

x = 3 · 2

x = 6

Our answer is x = 6. Woo!

Find the volume of the prism.
36 m
3 m
5 m

Answers

Answer:=40m

Step-by-step explanation: 36m+3m+5m

Answer:

540m

Step-by-step explanation:

The volume of a rectangular prism is 288 ft3. If its height is 6 feet and its length is 8 feet, what is its width?

a. 6 feet

b. 8 feet

c. 9 feet

d. 12 feet

Answers

Answer:

6 ft

Step-by-step explanation:

Volume = (height) (width) (length), so

(width) = (volume) / [ (height) * (length) ]

Here, the width is:

(width) = (288 ft^3) / [ (6 ft) * (8 ft ) ]  =  288/48 ft = 6 ft

The width of the rectangular prism is 6 ft

Write the ratio of the first measurement to the second measurement. Compare in millimeters. Diameter of ball​ A: 44 mm diameter of ball​ B: 7.2 cm The ratio of the diameter of ball A to the diameter of ball B is

Answers

Answer:

11:18

Step-by-step explanation:

Here, we are interested in calculating the ratio of diameter of ball A to that of ball B

what to do here is to ensure that both diameters have measurements that are same units.

Thus, mathematically;

44 mm to 7.2cm

But, mathematically;

10 mm = 1 cm

Thus 7.2cm = 7.2 * 10 = 72mm

Thus, our ratio becomes;

44:72

divide through be 4, we have

44/4 : 72/4

= 11 : 18

Answer:

11:19

Step-by-step explanation:

Select all the equations where =3 is a solution.
Choose 2 answers

Help?

Answers

Answer:

A and C

Step-by-step explanation:

ASSIGNMEN
Solve the following linear system of equations using substitution.
y = 3x - 5
y = 2x - 6
O (3, 2)
0 (-5, -6)
(-1,-8)
(1, -2)
DONE

Answers

Answer:

(-1,-8)

Step-by-step explanation:

Sandra is asked to report on the recent increase in popularity of an application based on the number
of times it is downloaded. Which best describes how Sandra should report this information?
downloads per day
total number of days with downloads
downloads per person
total number of downloads

Answers

Answer:

Step-by-step explanation:

Report the number of downloads per day.  By determining how this number is changing / increasing it will be possible to spot and describe an upward trend if there is one.

Describe what math step you would do to solve this equation ?

Answers

Answer:

Multiply each side by 14.7

Step-by-step explanation:

cos 50 = m / 14.7

Multiply each side by 14.7

14.7 cos 50 = m /14.7 *14.7

 14.7cos 50 = m

Answer:

multiply both sides by 14.7

Step-by-step explanation:

Solve the quadratic by factoring.
x2 - 4x = -4x + 4

Answers

Answer:

x=2 or x=-2

Step-by-step explanation:

ax^2+bx+c=0

first we rearrange this equation so we get x^2+(-4+4)x-4=0 so its x^2-4=0 so that means b=0 now we should find two numbers that when we multiply them we get c and when we subtract them we get b so that two numbers are 2 and -2

Hello i need help i only have 20 minutes help mee

Answers

Answer:

The first one

Step-by-step explanation:

Do you really want an explanation  :v

Answer:

Can’t really see the end of the question but if it is 3/w it is most likely

c

Step-by-step explanation:

Which expressions are equivalent to - f - 5(2f – 3)?
Choose all answers that apply:
-11f-3
- 11f + 15
None of the above​

Answers

Answer:

- 11f + 15

Step-by-step explanation:

- f - 5(2f - 3)

= - f - 10f + 15

= - 11f + 15

Let a be a rational number and b be an irrational number. Is a + b rational or irrational?

Answers

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

Answer:

Rational

Step-by-step explanation:

please please answer these five questions !!!!!!!!!

Answers

Answer: 1. V≈603.19

2. V≈103.67

3. V≈513.13

Step-by-step explanation: i only know those sorry :(

Story: The Escalator Ratio Task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. (Things to consider: 60 seconds = 1 minute; 60 minutes = 1 hour; 24 hours = 1 day). Question: True or False? He traveled 2 meters ever 5 seconds. Answer T or F and tell (or show) how you know you are correct.

Answers

Answer: True

Step-by-step explanation:

YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS

PROOF:

TOTAL RIDE TIME = 30 SECONDS

Length of elevator = 12 METRES

Distance moved per second can be calculated by = (length of elevator / total ride time)

( 12 METRES / 30 seconds) = 0.4 metres per second

Therefore, distance covered in 5 seconds :

0.4 × 5 = 2 metres.

Hence, the proof

He traveled 2 meters ever 5 seconds

The formula to calculate the area of a circle from its circumference is:


A =c2/4π

Answers

Answer:

(if its a true or false question) True

Step-by-step explanation:

We know-

Area of a circle =

A=(π)r2

Circumference of a circle =

C=2(π)r

Where pi is a constant and r is the radius of the circle.

Using these two formulas we can express A in terms of C as follows:

c2=[2(π)r]2

⇒ c2=4[(π)2]r2 ⇒ c2=4(π)[(π)r2]

As (π)r2=A ⇒c2=4(π)A

Therefore:

A=c2/4(π)

Answer:

the answer is b

Step-by-step explanation:

....

5. Jack and Jill use rain gauges that are the same size and shape to measure rain on top of a hill. Jack
uses a rain gauge marked in fourths of an inch. Jill's gauge measures rain in eighths of an inch. On
Thursday, Jack's gauge measured inches of rain. Jill and Jack both had the same amount of water,
so what was the reading on Jill's gauge on Thursday? Draw a number line and write a sentence to
explain your thinking.

Answers

Answer:

List the multiples

1/4,2/4,3/4,4/4

1/8,2/8,3/8,4/8,5/8,6/8,7/8,8/8

1/4=2/8

2/4=4/8

4/4=8/8

Those numbers are the common fractions so they would be the only fractions that both Jack and Jill could get.

Step-by-step explanation:

write an equation that represents the points (2,6)(0,3) but a linear kind of an equation in any form

Answers

Answer:

y=[tex]\frac{3}{2} x+3[/tex]

Step-by-step explanation:

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