MATHEMATICS HIGH SCHOOL

Find the volume of a sphere with a circumference of 48 pi ft. Write your answer in terms of pi .

Answers

Answer 1

Answer:

Answer:

18,432 pi cubic ft

Step-by-step explanation:

This problem can be solved using formula to find circumference and volume of sphere

for any sphere with radius r

circumference of sphere is 2* pi * r

volume of sphere is found by using formula 4/3*(pi*r^2)

Given circumference of sphere is 48 pi ft

therefore

2* pi * r = 48 pi ft

r = 48 pi ft/ 2* pi = 24 ft

substituting the value of r is formula of volume of sphere we have

volume of sphere is = 4/3*(pi*24^3) = 18,432 pi cubic ft

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Plz answer rn nmmmm ASAP!!

7(x-2) = 3(x+4)? Please help soon!

Answers

First use distribution properties and times everything in the brackets by the number before it
So
7x-14= 3x+ 12
Then subtract the x value from one side and move it to the other
Example
7x-14=3x+12
-3x. -3x
Therefore you’d have
4x-14=12
then move your negative 14
4x-14=12
+14 +14
4x=26
Divide both sides by 4
X=6.5

Answer:

x=6.5

Step-by-step explanation:

7(x-2)=3(x+4)

Step 1. Distribute

7x-14=3x+12

Step 2. Combine like terms and calculate

4x=12+14

Step 3. Divide 4 on both sides

4x=26

Solution:

x=6.5

Hope this helps! :)

Let f(x)=7x3−2x−12and g(x)=−3x3−8x2+10xWhat is the function rule for (f+g)(x) ?

A. (f+g)(x)=4x6−8x2+12x−12

B. (f+g)(x)=4x6−8x2+8x−12

C. (f+g)(x)=4x3−8x2+8x−12

D. (f+g)(x)=4x3−12x2+8x−12

Answers

You just combine add like terms in the equations so your answer would be C.

I will rate you a brainlest☆

Answers

Answer:

A 0.6 0.9 1.2 1.5 1.8

B 3/8 5/8 7/8 9/8 11/8

C -7 -5 -3 -2 -1

D 1, 1 1/3, 1 2/3, 2, 2 1/3

E 0.61 0.72 0.83 0.94 1.05

Step-by-step explanation:

Answer:

A. x x 1.2 1.5 1.8

B. 3/8 x x x 1 2/8

C. x x -3 -2 -1

D. 0 x x x 5 1/3

E. x x 0.83 0.94 1.05

Step-by-step explanation:

hope it helped

if one apartment requires 36 square yards of carpeting how many square yards of carpeting do 25 identical apartments require

Answers

The answer is 900 square yards of carpeting.

you will need 900 square yards.

solve this problem as a quadratic equation. The difference between two positive numbers is 5. Their product is 104 find the numbers.

Answers

let's call the smaller number x:

y-x=5
xy=104

y-x=5 can be rewritten as y=x+5

Substituting this into the second equation gives:

x(x+5)=104
x^2+5x=104
x^2+5x-104=0

Then simply solve as a quadratic:

x^2+13x-8x-104=0
x(x+13) -8(x+13)=0
(x-8)(x+13) = 0

x=8,-13

the question said the numbers are positive, so x=8

if x=8,

y=x+5
y=13

So the two numbers are 8 and 13.

The best way to do this is to find the factors of 104. For this I got 1, 2, 4, 8, 13, 26, 52 and 104. From this, you are then able to look at the two that have a difference of five, which in this case, is 8 and 13. You should then double check that when these are multipled, they are equal to 104, which they are. I'm not 100% sure if this is the answer that you are looking for, but the two numbers are 8 and 13

the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.

Answers

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120

Final answer:

Given that angle 1 and angle 2 forms a linear pair and angle 1 is twice angle 2, we can calculate angle 1 to be 120 degrees.

Explanation:

The subject of this question is Mathematics, specifically geometry. A linear pair of angles means that the two angles add up to 180 degrees. If the measure of angle 1 is twice the measure of angle 2 as stated in the question, we can represent this in equation form as 2x (angle 1) + x (angle 2) = 180.

Combining like terms, we get 3x = 180. Now, solve for x by dividing both sides by 3. Therefore, x equals 60 degrees. But the question asks for the measure of angle 1, so we substitute x into the equation 2x = angle 1. Therefore, angle 1 is 120 degrees (2 * 60).

Learn more about angle measure here:

brainly.com/question/33833061

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