MATHEMATICS HIGH SCHOOL

Find the surface area of a sphere with volume 288 pi m^3. Give your answer in terms of Pi.

Answers

Answer 1
Answer:

Answer:

144 π  cubic meters

Step-by-step explanation:

Formula for surface area of sphere is :

S = 4*π* r^2

We know the volume  V = 288*π cubic meters.

V = (4/3)*π*r^3

288*π  = (4/3)π*r^3

Solve for r.

(3/4)*288 =  r^3

r = 6 meters

S = 4 *π*6^2  =  4*36 * π = 144 π  cubic meters

From the Great MysticChaCha :-)  ...:-)

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Type the absolute value of -5.

Answers

Answer: +5

Explanation: Think of the absolute value of a number as the positive version of that number. So the absolute value of -5 would be +5.
The absolute value of negative number is opposite of this number.
(for positive number, absolute value will not do anything)

So |-5| = 5

The difference of a number and thirty-six is seven. Algebraic expression

Answers

Answer:

x-36=7

Step-by-step explanation:

x-36=7

x=36+7

x=43

Which equation represents a line which is parallel to the line 4y-3x=-8

Answers

Answer:

y=3/4x

Step-by-step explanation:

Answer:

-8y+6x=-8

Step-by-step explanation:

Can't promise this is 100% correct, but I tried.

Which is a factor of x2 + 8x – 48?

Answers

so x^2+8x-48
it can be written in the form
ax^2+bx+c

so since the 'a' term=1 we want it in form
(x +/- something1 )(x +/- something2 )
so basically, something1 times something 2=c and something 1+something 2=b

c=-48
b=8

factor -48 and fiind what 2 factors add to 8 (obviously one has to be positive and is 8 more than the negative [negative is smaller])
-48=
-1 times 48 no
-2 times 24 no
-3 times 16 no
-4 times 12 yes
-4+12=8



therefor it is
(x-4)(x+12) or (x+12)(x-4)

so the answer would be the one with either (x+12) or (x-4) (since you didn't include answer choices)

(x+12) or (x-4) would be the right choice
this trinomial factored is:
(x + 12)(x - 4)
either of these would be considered a factor.

Simplify 10,000^3/4 using a calculator.

Answers

The answer I get based off of the question is 1000.

How many degrees is x?

Answers

Short Answer x = 66
Remark
2x is the supplement of a 48 degree angle.
Supplementary angles add up to 180°

Equation
48 + x + x = 180  Collect like terms

Solution
48 + 2x = 180      Subtract 48 from both sides.
2x = 180 - 48  
2x = 132              Divide by 2
x = 66 <<<<<<<  Answer                  
x+x+48°=180°
2x+48°=180°
x=(180°-48°)/2
=66°
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