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kotykmax [81]
2 years ago
11

An orange cone has a exact volume of 120π ft³. What is the height of the cone if the radius is 6ft?

Mathematics
1 answer:
Ber [7]2 years ago
4 0

Answer:

10 ft

Step-by-step explanation:

Given:

  • Radius ⇒ 6 feet
  • Formula of cone ⇒ V = 1/3πr²h

Plug in the values given:

  • 120π=1/3π(6²)h

Cancel π from both sides and simplify:

  • 120 = 1/3 36h
  • 120 = 12h

Answer:

  • Height = 10
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Vlad1618 [11]

Answer:

Use the formula.

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P=final rate

P'=initial rate

R=Rate of Depreciation

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Helppp don’t comment random stuff :( thanks
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The slope is y=0.59x so 0.59

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AURORKA [14]

Answer:

1)

Minimum is a 4th Degree

2)

Positive; Even

3)

x=-4, -1\text{ Odd Multiplicity}\\x=3\text{ Even Multiplicity}

Step-by-step explanation:

Part 1)

The minimum degree of our function will be 4.

Looking at the graph, we know that the graph crosses the x-axis at -4 and -1. Since it <em>crosses through</em> the x-axis at these two points, these two factors must have an odd multiplicity.

So, it can be anything 1, 3, 5, 7, etc.

However, we will choose the lowest one, 1.

Next, we know that the graph <em>bounces off</em> at 3.

So, it must have an even multiplicity. In other words, 2, 4, 6, 8, etc.

We choose the lowest one, 2.

Therefore, the minimum degree of our function will be 1+1+2 or 4.

Part 2)

The degree of our polynomial is (and will always be) even. Therefore, both ends of the graph will go in the same direction.

Recall the simplest even polynomial, the parent quadratic function. When the leading coefficient is positive, both of the ends go straight up.

This applies to all polynomials with even degrees.

Therefore, since the arms of the graph is going straight up towards positive infinity, the leading coefficient of our graph must be positive.

Part 3)

This is similar to Part 1.

We can see that the graph touches the x-axis at -4, -3, and 1. So, the zeros of the function is: x=-4, -1, 3

We know that it<em> passes through</em> x=-4 \text{ and } x=-1 . So, these two factors must have an odd multiplicity.

However, since the graph <em>bounces off</em> x=3, this factor must have an even multiplicity.

And we're done!

7 0
3 years ago
Can someone help me ASAP, please and ty! What is “ 3x^2 added to 6x^2” simplifed to?
mr_godi [17]

Answer 9x^2

Step-by-step explanation:

3x^2+6x^2=9x^2

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Answer:

C

Step-by-step explanation:

12^2 = 144, 9^2 = 81, and 15^2 = 225.

144 + 81 = 225, therefore a^2 + b^2 = c^2.

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