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2 years ago

What is x, if the volume of the cylinder is 768 pi cm3? Do not use units or commas in your answer.

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

3 0

Answer:

Step-by-step explanation:

We have that the volume of a cylinder is given by:

V = pi * (r ^ 2) * h

In this case we know the diameter, we know that the radius is half the diameter like this:

r = d / 2

r = 8/2

r = 4

Now we know that the V equals 768 pi

we replace and we have:

768 * pi = pi * (4 ^ 2) * h

768 = 16 * h

h = 768/16

h = 48

Therefore the value of x would be 48 cm

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what is the quotient (65y3 15y2 − 25y) ÷ 5y? a. 13y2 3y − 5 b. 13y3 3y2 − 5y c. 13y2 − 3y 5 d.13y2 − 3y − 5

Aneli [31]

Keywords:

<em>Division, quotient, polynomial, monomial </em>

For this case we must solve a division between a polynomial and a monomial and indicate which is the quotient.

By definition, if we have a division of the form: $\frac {a} {b} = c$ , the quotient is given by "c".

We have the following polynomial:

$65y ^ 3 + 15y ^ 2 - 25y$ that must be divided between monomy $5y$ , then:

$C (y)$ represents the quotient of the division:

$C (y) = \frac {65y ^ 3 + 15y ^ 2 - 25y} {5y}$

$C (y) = \frac {65y ^ 3} {5y} + \frac {15y ^ 2} {5y} - \frac {25y} {5y}$

$C (y) = 13y ^ 2 + 3y-5$

Thus, the quotient of the division between the polynomial and the monomial is given by:

$C (y) = 13y ^ 2 + 3y-5$

Answer:

The quotient is: $C (y) = 13y ^ 2 + 3y-5$

Option: A

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2 years ago

Read 2 more answers

Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice. How many cups of orange juic

Shkiper50 [21]

Answer:

5 1/3

Step-by-step explanation:

Set up ratio.

2/3 cup orange juice X 2 cups pineapple juice

———————————-

1/4 cup pineapple juice

first multiply numerator : 2/3 x 2 = 4/3

and divide by denominator

(4/3)/(1/4). Keep the first. Change the sign to multiplication and Flip the second fraction.

4/3 x 4/1 = 16/3

change to proper fraction : 16/3 = 5 1/3 cups

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2 years ago

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Evgen [1.6K]

Answer:

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Step-by-step explanation:

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