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Elanso [62]
2 years ago
5

Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. Use 3.14 for pi.

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
7 0
Start with V=(1/3)x(3.14)x(r-squared)x(h) This is the formula for the volume of a cone

Then plug in the values that you are given in the equation  83.74=(1/3)x(3.14)x(r-squared)x(5 inches) 

Now combine "like terms"   83.74=(5.233333)x(r-squared)

Next you want to get "r" by itself, so by using order of operations we divide by 5.233333 on both sides and then you are left with 16=r-squared

Now to get rid of the "squared" you find the square root of both sides and you're left with 4=r 

Now that you have the radius and the question is "what is the diameter" simply double the radius and so you are left with 8

The answer is 8 inches 
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Write an expression in simplest form that represents the perimeter of the polygon ​
scoundrel [369]

Answer:

Perimeter = (11x + 12)

Step-by-step explanation:

Since, perimeter of a polygon is represented by the sum of measures of all sides,

Perimeter of the given polygon = 3x + (x + 10) + 5x + (2x + 2)

By adding like terms of the expression,

Perimeter of the polygon = (3x + x + 5x + 2x) + (10 + 2)

                                          = (11x + 12)

Therefore, expression for the perimeter is (11x + 12).

6 0
3 years ago
Compute the monthly payments for the add on interest loan. The amount of the loan is $8,276.17. The annual interest rate is 5.7%
podryga [215]

The monthly payments for this add on interest loan are of $164.71.

Given Information and Formula Used

It is given that for an add on interest loan,

Principal Amount, p = $8,276.17

Annual Interest Rate, r = 5.7%

Term of the loan, T = 5.5 years

The formula for simple interest is given as follows,

I = (p)(r)(t)/100 ............... (1)

The formula for total amount of add on interest is given by,

A = p + I ....................... (2)

Computing the Interest

Substitute the given values of p, r, and t in the formula (1) of interest to get,

I = (8276.17)(5.7)(5.5)/100

I = 259457.9295/100

I = $2,594.58

Computing the Monthly Payment for Add-on Interest Loan

Substituting the values of p and I in the formula (2), we obtain the total amount as,

A = $ (8276.17 + 2594.58)

A = $ 10,870.75

Monthly payment for the add on interest loan = A/t(in months)

=  $ (10,870.75/66)

= $164.71

Therefore, monthly payments of $164.71 are to be made for the add on interest loan.

Learn more about interest here:

brainly.com/question/26457073

#SPJ1

7 0
1 year ago
Which statement is best represented by the inequality d less-than 0.35? The pen costs less than $0.35. The pencil costs greater
sweet-ann [11.9K]

Answer:

option A, the pen cost less than $0.35

I hope this is helpful :)

7 0
2 years ago
Read 2 more answers
Worth 35 points<br><br>plz help me? what is the value of y? plz explain
Kay [80]

For proportions just cross multiply.

8(y+2)=44

8y+16=44

8y=28

y=28/8

6 0
2 years ago
Read 2 more answers
The sides of a rectangle are enlarged by a scale factor of 2. Write
Dennis_Churaev [7]

Answer:

4

Step-by-step explanation:

both sides are multiplied by 2 which means its the original area*2*2 which means it's the original area*4

5 0
1 year ago
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