HELP PLEASEIf the radius of the base of the cone, r, is 2 feet and the height,h, is 12 feet, what is the volume of the cone?

Answers

Answer 1

Answer: For a cone, the equation for volume would be
V = π r^2 h/3.

( volume = pi x radius squared x height / 3)

To find the volume for this question, you would set up the equation like this:

V = π x 2^2 x 12 / 3

Then, following the order of operation, you would do the following:

V = π x 4 x 12 / 3

(You get the 4 from 2 squared)

V = π x 4 x 4

(You get the second 4 from dividing 12 by 3)

V = π x 16

(You get 16 from multiplying 4 and 4)

V = 16π

(You get 16π from multiplying 16 and π, and the number is always in front of the π, so you would never get a π16, it would only be 16π)

So, your volume would be 16π, which is answer D.

I hope I helped! c:

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Need help solving. Prefer you show each step in solving.

A) show that $n(2n + 1)(7n + 1)$ is divisible by 6 for all integers $n$.b.find all integers $n$ such that $n(2n + 1)(7n + 1)$ is divisible by 12.

Answers

Hi,

A)
$(n(2n+1)(7n+1))/(6) \n= (14n^3+9n^2+n)/(6) \n= (12n^3+6n^2)/(6) + (2n^3+3n^2+n)/(6) \n=2n^3+n^2+ (n(2n^2+3n+1))/(6) \n= 2n^3+n^2+ (n(n+1)(2n+1))/(6) \n= 2n^3+n^2+ 1^2+2^2+3^2+...+n^2\ is\ an\ integer.$

B)
Only if n=4*k or n=4*k+1 , k beeing an integer.

Hello help 4 brainliest answer!

Answers

Answer:

1:2

Step-by-step explanation:

When 5:10 is simplified by 5 which would be...

10/5=2 and 5/5=1

Which equals to 1:2

Answer

The equivalent ratios are 1:5 and 2:10.

Explanation

To get from 5 to 10 you multiply by 2.

Do the same thing to the 1.

1 times 2 is 2.

For every one boy there are 5 girls. For every 2 boys, there are 10 girls.

P.S. LOLOLOL you use Big Ideas on an iPad?

A triangle has two sides of lengths 7 and 12 what value could the third side be

Answers

we know that the longest side of the triangle cannot be longer or equal to the legnth of the sum of the other two sides ( becasue if it was equal, then you would get a straight line)

so if you assume that 12 is longest side then the other sides could be 6

if you assume that the longest side is the third side then the longest side could be 18

5a=a+40

Solve for a

3b=10b-49

Solve for b

Answers

Answer:

The first answer is a = 10, The second answer is b = 7

Step-by-step explanation:

Equation 1: 5a = a + 40

To solve for a, you want to isolate a on one side of the equation. You can do this by subtracting "a" from both sides of the equation:

5a - a = a - a + 40

This simplifies to:

4a = 40

Now, divide both sides by 4 to solve for a:

4a/4 = 40/4

a = 10

So, a = 10.

Equation 2: 3b = 10b - 49

To solve for b, you want to isolate b on one side of the equation. First, let's get the "b" terms on one side by subtracting 10b from both sides:

3b - 10b = 10b - 10b - 49

This simplifies to:

-7b = -49

Now, divide both sides by -7 to solve for b:

(-7b) / (-7) = (-49) / (-7)

b = 7

So, b = 7.

What are the Coefficients in 4e + 7e + 5

Answers

Answer:

4 and 7

Step-by-step explanation:

Coefficients are just bassically the numbers behind the variable, hope this helps!

WOULD YOU RATHER use a coupon for $20 off 10of your order OR use a coupon for 20% off of your order?Use mathematics to justify your answer.

Answers

Answer:

Well it would depend on the price

Step-by-step explanation:

if it was for $100 item , these are the same but, if its more, the 20% will be higher off the bigger the price

so I would much rather have 20% off for and item more than 100 dollars and prefer 20$ off to something under a $100