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const2013 [10]
3 years ago
10

Find the volume of a cone with a base area 36pi and a height equal to twice the radius

Mathematics
1 answer:
beks73 [17]3 years ago
8 0
The volume of a cone is V= \frac{1}{3} A_{\text{basis}}\cdot H. Since A_{\text{basis}}=36\pi and you know that basis is a circle you can conclude that \pi R^2=36\pi and R=6.

If <span>height H equal to twice the radius R, then H=2R=2\cdot 6=12.</span>

The volume will be:V= \frac{1}{3} \cdot 36\pi \12=144\pi cubic units.
<span />

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5(x+4)= -2(-4-x)+3 <br> what is the answer?
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Answer:

x = -3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

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

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   5x + 20 = 8 + 2x + 3
  2. Combine like terms:                   5x + 20 = 2x + 11
  3. Subtract 2x on both sides:        3x + 20 = 11
  4. Subtract 20 on both sides:        3x = -9
  5. Divide 3 on both sides:              x = -3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    5(-3 + 4) = -2(-4 - -3) + 3
  2. Simplify:                        5(-3 + 4) = -2(-4 + 3) + 3
  3. Add:                              5(1) = -2(-1) + 3
  4. Multiply:                        5 = 2 + 3
  5. Add:                              5 = 5

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

And we have our final answer!

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Answer:

X = 4.3, -0.3

Step-by-step explanation:

Write the answer with like a line on top of the 2 threes that you see

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