Find the circumference of a circle whose area is 24pi ft^2

Answers

Answer 1
Area = 24pi ft^2 = pi * r^2
This gives r = root24


Circumference = 2pi * r
= 2pi * root24
= 4pi * root6


Hope I'm able to help you.
Answer 2

Answer:

30.76 [tex]ft^{2}[/tex]

Step-by-step explanation:

To calculate the circumference of a circle you just have to multiply the diameter by pi.

C= D*[tex]\pi[/tex]

And in order to calculate the value of the diameter you have to clear the formula for the area.

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

r=[tex]\sqrt{\frac{24 \pi }{\pi } }[/tex]

r=[tex]\sqrt{24}[/tex]

r=4,89

Once we get the radius, we only have to calculate the diameter:

D=2r=9,79

now we just calculate the circumference:

C=D*[tex]\pi[/tex]= (9.79)(3.14)= 30.76


Related Questions

You are selling items from a catalog for a school fundraiser.Write and solve two inequalities to find the range of sales that will earn you between $40 and $50. Earn $5 for every $50 in sales!

Answers

You earn $5 per every 50 dollars

You want between 40 and 50, so you want $45

45/5=9

You will need to sell $50 worth of stuff 9 times

9*50=450

you need to sell $50 worth of catalog items
Final answer:

To find the range of sales that will earn you between $40 and $50, you can set up two inequalities and solve them to find the minimum and maximum sales required.

Explanation:

To find the range of sales that will earn you between $40 and $50, we can set up two inequalities.

First, let's find the minimum sales required to earn $40. We can use the inequality 5x >= 40, where x represents the sales. This inequality represents the condition that earning $5 for every $50 in sales should be greater than or equal to $40.

Next, let's find the maximum sales required to earn $50. We can use the inequality 5x <= 50, where x represents the sales. This inequality represents the condition that earning $5 for every $50 in sales should be less than or equal to $50.

To solve these inequalities:

For the first inequality, divide both sides by 5, giving us x >= 8. This means the minimum sales required to earn $40 is $8.

For the second inequality, divide both sides by 5, giving us x <= 10. This means the maximum sales required to earn $50 is $10.

Therefore, the range of sales that will earn you between $40 and $50 is $8 to $10.

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What's 2 ways to write 100203

Answers

100000 + 200 + 3 (expanded form)

one hundred thousand two hundred and three (word form)

hope this helps

Ira purchased a new dishwasher for $361.35. The dishwasher was on sale for 17.5% off. What was the original price of the dishwasher, to the nearest dollar?

Answers

Answer: $438
To solve this equation, you cross multiply. I first subtracted 17.5 from 100 in order to get the percentage value that $361.35 was of its original price. Since 100 - 17.5 = 82.5, the washing machine is 82.5% of its original price.

I cross multiplied by writing [tex] \frac{361.35}{1} * \frac{82.5}{100} [/tex], and multiplying [tex]361.35 * 100[/tex] and [tex]82.5 * 1[/tex]. The result was [tex] \frac{36135}{82.5}[/tex]. This becomes $438. There is no rounding needed to be done.

The original price of the dishwasher with a 17.5 percentage discount is $361.

We have,

To find the original price of the dishwasher, we need to figure out what the discount amount is and subtract it from the sale price.

The discount amount is 17.5% percentage of the original price, which can be expressed as:

Discount amount = 0.175 x Original price

We can rearrange this equation to solve for the original price:

Original price = Discount amount / 0.175

The discount amount is:

Discount amount = 0.175 x $361.35 = $63.25

So the original price of the dishwasher was:

Original price = $63.25 / 0.175 = $361.43

Rounding this to the nearest dollar gives an original price of $361.

Thus,

The original price of the dishwasher with a 17.5 percentage discount is $361.

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Which expressions are equivalent to 3(x + 3y + 2x − y)?

Answers

3(x + 3y + 2x − y) = 3(3x + 2y)
= 9x + 6y
See if any of these match an answer option.
Use distributive property, and simplify like terms.

   3(x + 3y + 2x - y)
= 3(x) + 3(3y) + 3(2x) + 3(-y)
= 3x + 9y + 6x - 3y
= 9x + 6y

Therefore, 9x + 6y is equal to 3(x + 3y + 2x - y)

Also, 9x + 6y can be factored into 3(3x + 2y).
   3(3x + 2y)
= 3(3x) + 3(2y)
= 9x + 6y

So this pair is equivalent: 3(3x + 2y) and 9x + 6y

In which situation is the distance traveled proportional to time? A: An airplane landing
B;A soccer ball you kick across a field C:A person running on a treadmill at 3 mph for 6 minutes D:A 3 -minute ride on a roller coaster

Answers

Answer:

Step-by-step explanation:

you add it my g

Answer:

C: A person running on a treadmill at 3mph for 6 minutes

Step-by-step explanation:

I just had the question and got it right.

The table below shows the values for the function y=f(1/5x)

Answers

There needs to be a table in order to solve!!

How many feet are in 30 yards?

Answers

Hi!

For every 1 yard, we have 3 feet. So, in order to find out how many feet are in 30 yards - we must multiply 3 by 30.

3 * 30 = 90.

This means there are 90 feet in 30 yards.

Hopefully, this helps! =)

Answer:

90 feet

Step-by-step explanation:

Formula we use,

→ 1 yd = 3 ft

Then no of feet in 30 yards is,

→ 30 × 3

→ 90 ft

Hence, the answer is 90 ft.

Two trucks leave from the same truck stop at the same time. One travels east on interstae 80 and the other travels west. The eastbound truck averages 40 miles per hour, and the westbound truck averages 50 miles per hour. In how many hours will the trucks be 300 miles apart?

Answers

My answer comes out to 3hrs. Thats the closest i got to 300 Miles.

Answer:

About 3 hours

Step-by-step explanation:

Imagine one truck going West and the other East. One is going 50 miles per hour and the other is going 40 miles per hour. Because you need to use the equation 50x+40x=300. You should get x = 3.3.

The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 4 inches less than 5 times the perimeter. Find the length and width of the rectangle. SOME HELP WITH THIS PLEASE

Answers

Let the width be w, then the length is w+4 (in).

The area of the rectangle is [tex]A=w(w+4)= w^{2}+4w [/tex].

The perimeter of the rectangle is: 

P = 2(Width + Length)=2(w+w+4)=2(2w+4)=4w+8

"The area of the rectangle is equal to 4 inches less than 5 times the perimeter." means that:

A = 5P - 4

[tex]w^{2}+4w=5(4w+8)-4[/tex]

[tex]w^{2}+4w=20w+40-4[/tex]

[tex]w^{2}-16w-36=0[/tex]

add and subtract 64 to complete the square:

[tex]w^{2}-16w+64-64-36=0[/tex]

[tex](w^{2}-16w+64)=100[/tex]

[tex](w-8)^{2}=10^{2} [/tex]

thus w= 18 or w=-2, but the width clearly cannot be negative.

w=18, the length is 18+4 = 22 (in)

Answer:

w=18 in, l=22 in

Gideon made two errors in the proof. Identify and correct the errors

Answers

Should there be more to this? I can't figure out what you're asking

Answer:

Identify: Step 6 and step 7

Correction:

I think step 6 is just not necessary and should be removed.  

And step 7 should be the transitive property of equality not the Substitution Property of Equality

what would be the value of 150 after eight years if you earn 12 percent interest per year

Answers

The answer depends on what type of interest. If you are using compound interest, then the interest is different every year, as the amount you earn goes up because the amount you have in the bank goes up. Simple interest is the opposite, as you earn one amount each year, and it does not change.
So.....
Simple Interest:
0.12 * 150 = 18
18 * 8 = 144
144 + 150 = $294
Compound Interest:
150(1 + 0.12)^8
150 * 1.12^8
150 * 2.475 = $371

Answer:

$371.3944

Step-by-step explanation:

Principal = 150

Time = 8 years

Rate of interest = 12% = 0.12

No. of compounds per year = n = 1

Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the amount

P is the principal

r is the rate of interest in decimals

t = time in years

n = no. of compounds per year

Substitute the values in the formula :

[tex]A=150(1+\frac{0.12}{1})^{8}[/tex]

[tex]A=371.3944[/tex]

Hence the value of 150 after eight years if you earn 12 percent interest per year is $371.3944

what is ten times as much as 4.9

Answers

it would be 4.9 x 10 so 49
Final answer:

The question wants to find out what is ten times as much as 4.9. By multiplying 4.9 by 10. The answer is 49.

Explanation:

The student is asking about multiplication which is an operation in Mathematics. In this case, the student wants to know what is ten times as much as 4.9. To find the answer, we need to multiply 4.9 by 10. The multiplication process is as follows:

4.9 x 10 = 49

So, ten times as much as 4.9 is 49.

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A graph is shown below:

A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. These points are connected by a line

What is the equation of the line in slope-intercept form?

y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3

Answers

The general equation of a line is expressed as y = mx + b where m is the slope of the line and b is the y-intercept. The y-intercept is the value of y when the graph crosses the y- axis. Consequently, it is the value of y when x is zero. The slope is the rate of change of y with respect to the change in x. It is calculated from the ratio of the difference of two y values and the difference of the corresponding x values. Given the points would result to a line, we can determine those elements for the line as follows:

b = 36
m = (y2 - y1) / (x2 - x1)
m = (27 - 36) / (3 -0) = -3

So, the equation of the line would be y = -3x + 36.

Cat breeders often mate cats that have special traits that they will pass on to offspring. This is an example of

Answers

probably it is inherited trait????   

blame it on me if you get it wrong:C

Consider the following set of equations: Equation M: 3y = 3x + 6 Equation P: y = x + 2 Which of the following best describes the solution to the given set of equations? No solution One solution Two solutions Infinite solutions

Answers

3y = 3x + 6....reduce by dividing by 3
y = x + 2

notice how that is exactly the same as the 2nd equation.
This means they are the same line and will have infinite solutions

Answer:

I'm answering for other guy brainliest

Step-by-step explanation:

but if you still want to know, its infinite solutions

You are studying for your final exam of the semester. up to this point, you received 3 exam scores of 67%, 68%, and 78℅. to receive a grade of C in the class, you must have an average exam score between 70% and 79% for all 4 exams including the final.

Answers

(67 + 68 + 78 + x) / 4 = 70
(213 + x) / 4 = 70
213 + x = 70 * 4
213 + x = 280
x = 280 - 213
x = 67

(213 + x) / 4 = 79
213 + x = 79 * 4
213 + x = 316
x = 316 - 213
x = 103

lowest u can make is 67, highest u can make is 100

Answer: its 68,100 on plato

On a test hailey answered 64 out of 75 questions correctly. What percent of her answers
Were correct?

Answers

Answer:

                [tex]\bold{85\frac13\,\%}[/tex]

Step-by-step explanation:

[tex]\dfrac{64}{75}\cdot100\,\%=\dfrac{64}{3}\cdot4\,\%=\dfrac{256}{3}\,\%=85\frac13\,\%[/tex]

Richard had a balance of −$322.25 in his account, and Scott had a balance of −$241.75 in his account. Which statement explains why Richard owes the bank more than Scott?

Answers

Richard spent more, he has a larger negative amount.

Answer: The answer is B if you don't know what B is here:

|–322.25| > |–241.75| is the correct answer.

Hope this helps!

Step-by-step explanation:

Which equation can be used to calculate the area of the shaded triangle below? A rectangle with length of 10 feet and width 6 feet. A diagonal cuts the rectangle into two halves. One of the triangular halves is shaded.

Answers

The area of a triangle is always equal to bh/2.
Fill in the appropriate values
(10*6)/2=30 ft^2

Answer:

fraction 1 over 2 (10 × 6) = 30

Step-by-step explanation:

The sum of 38 and twice a number is 24

Answers

38 +2N = 24

2N = -14

N = -14/2 = -7

the number is -7

Bart takes a random sample of 50 students in his seventh grade class and finds that 40% of the sample prefers chocolate ice cream over vanilla ice cream. There are 200 students in the seventh grade. Based on the sample proportion , How many students in the seventh grade would be expected to prefer chocolate ice cream over vanilla ice cream??????

Which answer is correct 40,80,50,200

Answers

40% of 50 is 20.  So, 20/50 students who take the random sample prefer chocolate over vanilla ice cream.  In order to find the number of students who prefer chocolate over vanilla ice cream out of 200 students in total, it is best to set up a proportion.  Here:  20/50=x/200.  Once you solve the proportion you will get x as 80.

Hope the explanation helped!

The number of students in the seventh grade would prefer chocolate ice cream over vanilla ice cream is 80

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

If 40% of the sample of 50 students prefer chocolate ice cream, we can use that percentage to estimate the number of students who prefer chocolate ice cream out of the entire seventh-grade class of 200 students.

40% of 50 = (40/100) x 50 = 20 students in the sample prefer chocolate ice cream.

On simplifying the proportion , we get

To estimate the number of students in the entire seventh-grade class who prefer chocolate ice cream, we use the same percentage:

40% of 200 = (40/100) x 200 = 80 students in the seventh grade are expected to prefer chocolate ice cream over vanilla ice cream.

Hence , based on the sample proportion, we can estimate that 80 students in the seventh grade would prefer chocolate ice cream over vanilla ice cream.

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Find the exact value of tan 2x if tan x=7/11, and pi[tex] \leq [/tex]x[tex] \leq [/tex] 3pi/2

Answers

this is the concept of trigonometry, by trigonometric rules:
tan 2x=[2tan x]/[1-tan^2 x]
given that tan x=7/11
then:
tan 2x=[2*7/11]/[1-(7/11)^2]
=[14/11]/[1-49/121]
=[14/11]/[72/121]
=77/36

suppose the university bursar said that 600 student entered for business mathematics 300 entered for statistics while 173 students entered for both business mathematics and statistics how many student enrolled in the two courses altogether

Answers

The number of students who enrolled in business mathematics alone can be calculated by subtracting the number of students enrolled in both from the total number of students enrolled for business mathematics.

                                x = 600 - 173 = 427

In similar manner, we solve for the number of students enrolled for only statistics

                                 y = 300 - 173 = 127

The total number of students enrolled in two courses altogether is the sum of x and y and 173.

                                T = 427 + 127 + 173 = 727

Thus, all in all there are 727 students enrolled in the two courses.  

Macy wants to buy a skateboard for $42. She has $95 in her account. She spent $12.99 to buy stationary. She also wants to buy some ice cream bars for $3.07 each. What is the maximum number of ice cream bars, n, that Macy can buy so that she has enough money left to buy the skateboard

Answers

She can buy 13 ice cream bars

Answer:

She can buy 13 ice cream bars

Step-by-step explanation:

Which expression is equivalent to radical of 10 over ^4 and the radical of 8.

Answers

√10       √5
------  = ------
4√8       8

-8*-4^2/7


i got 32/7?

Answers

The answer is:  " -128 / 7 ; or; " -18  6/7 " ;  
or: " -18.2857142857142857  "  ;  or, round to:  " -18.286 " .
_____________________________________________________

Using the correct order of operations, the "exponents" function come first.

The problem is written:
__________________________
" -8*-4^2/7 " ,

In this case, we take the "-4² " ; which is: " (-4)*(-4) = 16.

Then we do the multiplication and division, in the order in which they occur, from left to right.

So, we would have:  " (-8)*(16) = -128.   \

Then:  " (-128)/ 7 = -18.2857142857142857  = -18  6/7  " .

or:  round to:  " -18.286 " .
________________________________________________________

express 0.7033 as a mixed number

Answers

We can make 0.7033 an improper fraction by multiplying it by 10,000 to get:

7033/10,000

Note that this cannot be a mixed number because 10,000, the denominator, is greater than 7033, the numerator. 

You may have misspelled or typoed the question, or the question might be wrong, because 0.7033 can't be written as a mixed number.

0.7033 as a mixed number is 7033/10,000.

Understand that 0.7033 is a decimal number less than 1, meaning it will be represented as a proper fraction.
Since the decimal extends to four decimal places, the denominator will be ,
10,000 (as 10⁴ = 10,000).
= 7033/10,000.
The greatest common divisor (GCD) of 7033 and 10,000 is 1, meaning 7033/10,000 is already in its simplest form.

Therefore, the mixed number representation of 0.7033 is 7033/10,000.

The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a
total of 21 games?

Answers

They will win 16 games.


There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the probability that it will rain tomorrow and the volleyball game will be postponed?

Answers

0.20/0.70 = 0.2857

28.6% chance

 round the answer as needed.

I believe it is 14%

because 20% = 0.2 and 70% = 0.7

then 0.2 * 0.7 = 0.14

0.14 = 14%

14% is answer srry if wrong

Mrs.Lin is planning her daughters birthday party. At parties r us the fee is $80 plus $10 per child. At birthday palace, the fee is $150 plus $5 per child. Write and solve an equation to determine how many children must be invited for the costs to be equal?

Answers

The answer is 14 kids:
80 + 10x = 150 + 5x
10x = 70 + 5x
x = 14

Check:
80 + 10 (14) = 220
150 + 5 (14) =220
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