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

Complete the point-slope equation of the line through (-1,6) and (1,5)

Answers

Answer:

y − y1 = m(x − x1)

m  = (y2-y1) / (x2-x1) = (5 - 6) / (1 - (-1)) = -1 /2

y - 6 = -1/2 (x - (-1))

y - 6 = -1/2 (x + 1)

y - 6 = -1/2x - 1/2

Step-by-step explanation:

i just need this question

Answers

please provide the data to the right

Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?

Answers

Answer:

We need the segments but which ever one has the segment that is 2/3 times the length of segments xy

Step-by-step explanation:

Answer: line c

Step-by-step explanation: I got it correct

SA police department used a radar gun to measure the speed of a sample of cars on the highway.
Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a
standard deviation of 8 mph.
Using this distribution what is the z-score of a 65-mph speed limit? *​

Answers

Answer:

The z score of the 65-mph speed limit is -0.75

Step-by-step explanation:

The z score is given by the relation;

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

Where:

Z = Normal (Standard) or z score

x = Observed speed  score

μ = Mean, expected speed

σ = Standard deviation

Where we plug in the values for x = 65-mph, σ = 8 mph and μ = 71 mph, into the z-score equation, we get;

[tex]z = \frac{65-71}{8}= \frac{-6}{8} = -\frac{3}{4}[/tex]

Hence the z score of the 65-mph speed limit =-3/4 or -0.75.

Tan θ =
[tex] \sqrt{13} \div \sqrt{2} [/tex]

Answers

Answer:

Step-by-step explanation:

Tan θ = [tex]\sqrt{13} \div \sqrt{2}[/tex] = 2.5495

Therefore θ = [tex]Tan^{-1}[/tex] (2.5495) =68.5832°

Answer:

Tan θ =  2.5495097...

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

66 ft^2

Step-by-step explanation:

the formula for the area of a triangle is b x h over 2. the base is 22 and the height is 6. 22 x 6=132. 132/2=66

area of isosceles triangle​

Answers

Answer:

You find the base and height then divide by 2

Step-by-step explanation:

Answer:

height x 2 divided by 1/2  

Step-by-step explanation:

Robert works at a car dealership. Each month, he receives a base salary of $1,854.00, plus a commission of $478.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)

Answers

Answer:

y = 478x + 1,854

Step-by-step explanation:

What is the slope of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,-7)(5,−7)left parenthesis, 5, comma, minus, 7, right parenthesis?

Answers

Answer:

-3/2

Step-by-step explanation:

We can find the slope between two points using

m = (y2-y1)/(x2-x1)

  = (-7 - -1)/(5 - 1)

  (-7+1(/(5-1)

  -6/4

  -3/2

Answer:

4

Step-by-step explanation:

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Answers

Answer:

20 cents per unit

Step-by-step explanation:

Since it is 1$ 5 pencils and 100/5=20, the unit cost is 20 cents

Answer:

the unit price is $0.20 for 1 pencil

Step-by-step explanation:

if u see 5 pencils cost 1 dollars and unit price means the value of one item, so like the cost of 1 pencil

write it as a ration of cost to pencil

the ratio is 1/5

now divided 5 on the top and the bottom to get the unit price

1 divided by 5= 0.2

so now the ratio is 0.2/1

i dont know how to do this if someone could show me how and what the answer is

Answers

Answer:

It is A because due to the slope it is a parallelogram.

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

one hundred fifty moviegoers were surveyed, 20% said they would recommend the movie they just saw. how many of the moviegoers said they recommend the movie?​

Answers

Answer:

30

Step-by-step explanation:

150/100 = 1.5

1.5 is 1% of 150

20% of moviegoers recommend the movie

1.5 times 20 = 30

Add or subtract by first changing the mixed numbers to improper fractions.

A: 3 1/3 + 5 3/4

Answers

Answer:

10/3 and 23/4

Step-by-step explanation:

Answer:

9 1/12

Step-by-step explanation:

3 1/3 + 5 3/4

Get a common denominator of 12

3   1/3*4/4 +  5  3/4 *3/3

3 4/12 + 5 9/12

8 13/12

8 + 12/12 + 1/12

8+1+1/12

9+1/12

9 1/12

Changing to improper fraction

3 1/3 = ( 3*3+1)/3 =10/3

5 3/4 = ( 4*5+3)/5 =23/4

Getting a common denominator

10/3 * 4/4 = 40/12

23/4 *3/3 =69/12

                   -------------

                   109/12

12 goes into 109  9 times

9*12 = 108  and that leaves 1 left over

9 1/12

A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.

Answers

Answer:

angle of depression = -12 degrees

Step-by-step explanation:

Sin = opposite/hypotenuse

sin = -208/1000

inv sin 0.208 = -12

To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.

Trigonometric Ratio

Using SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use

Data;

opposite (ski run) = 1000 yardsadjacent (vertical drop) = 208 yards

since we have the value of opposite and adjacent, we can solve this using the tangent of the angle

[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]

From the calculation above, the angle of depression is equal to 76.23 degrees.

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A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.

Answers

Answer & Step-by-step explanation:

On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.

[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]

So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]

Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.

Answers

Answer:

La altura de Juan por lo tanto es de 1.6 metros de altura

Step-by-step explanation:

Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:

Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.

Supongamos que x es la altura de juan que tenemos que calcular.

La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:

x= (1.8 metros/2.25 metros)*2

x=1.6 metros

La altura de Juan por lo tanto es de 1.6 metros de altura

What is the y- intercept of the graph shown that is below

Answers

Answer:

B

Step-by-step explanation:

The y- intercept is the point on the y- axis where the line crosses it

This point is y = 2

with coordinates (0, 2 ) → B

The line is  crossing the y axis at (0,2)

What is intercept ?

The x - intercept is where a line crosses the axis and the y intercept is the point where  the line crosses the y - axis .

observing the graph it can be concluded that ,

The line is  crossing the y axis where x = 0 and y = 2 , so the point is (0,2)

correct answer is c) (0,2)

Learn more about intercept

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A square has a triangular hole in it. What is the area of the figure?
12 in
6 in.
4 in.
12 in
168 in 2
144 in 2
120 in 2
132 in 2

Answers

168 in 2 and then 132 in 2

6th question of the day

WHat is the equation for standard equation of circle?

Answers

Answer:

Where (h,k) is the center and r is the radius

Step-by-step explanation:

[tex]r^2 = (x-h)^2+ (y-k)^2[/tex]

Solve the long division

Answers

Answer:

1. 158

2. 120.125

3. 148.6

4. 158.6

Step-by-step explanation:

You divide the number inside by the number outside

Mona likes to ski. One lap includes a 4 minute ride up the ski lift and 5 minutes to ski down the hill. How long will it take her to do 5 laps?

Answers

Answer:

pretty sure it is 45mins

Step-by-step explanation:

U add 4+5=9 so that is one lap

then take 9*5=45 and that would be 5 laps

Answer:

45

Step-by-step explanation: first we want to find out the time it takes to do one full lap of skiing. in order to do this you have to add 4 to 5. we do this because if we start at the bottom of the hill we have to ride 4 min up to the top then 5 min to get back to the bottom. so in all it will 9 min to do one full lap. because we want to find out how long it will take to do 5 laps we do 9x5=45

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

inverse of f(x)=50000(0.8)^x

Answers

Answer:

Step-by-step explanation:

A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of
reaching into the bag and selecting a yellow marble?
1/13
2/13
1/6
2/6

Answers

The answer would be 2/13

Answer:

It would be B.

Step-by-step explanation:

Hope it helpssss

At Subway sandwiches, how many different sandwiches can I make from 3 different types of bread, 5 different types of cheese, and 4 different types of meat?

Answers

Answer:

60 sandwiches

Step-by-step explanation:

In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:

3*5*4 = 60

That means there are a total of 60 ways to make different sandwiches

Explain the Pythagorean theorem.

A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Hope this helps you out!

Answer:

Step-by-step explanation:

c

in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play both sports. what is the probability that a student chosen randomly plays basketball or baseball

Answers

Answer:

3/26 students or 11%

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

24/27 = 8/9

Your macaroni and cheese recipe calls for 1 2/3 cups of milk. You're having company and you need to quadruple the recipe. How much milk will you need?

Answers

Answer:

4 2/3

Step-by-step explanation:

For the quadrupled recipe, you will need 6 2/3 cups of milk.

Here, we have,

To quadruple the macaroni and cheese recipe,

we need to multiply the original recipe measurements by 4.

The original recipe calls for 1 2/3 cups of milk.

To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:

1 2/3 * 4

= (5/3) * 4

= 20/3

= 6 2/3

Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.

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i think of a number multiply it by 3 and subract 2 . The result is 14​

Answers

Answer:

5.3

Step-by-step explanation:

Answer:

The answer is 5.3

Step-by-step explanation:

5.3x3-2= 13.9 but when you round its 14

Sunglass shack is having a 30% off sale on sunglasses. Ann paid $32 for a pair of sunglasses. What was the original price?

Answers

Answer:

about $45.71

Step-by-step explanation

32/70%

32 x 100/70

32 x 10/7

320/7

$45.71

The original price would be $41.6.

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