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Lelechka [254]
3 years ago
10

Kevin makes several cone-shaped candles. He uses a cone mold that has a height of 15 centimeters and a diameter of 10 centimeter

s. How much wax is needed to make 3 cone-shaped candles?

Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

1,177.5cm^3 of candle wax will be required.

Step-by-step explanation:

The attached files contain further information so please check them.

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. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side
4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}

\cos A=\dfrac{49+196-64}{196}

\cos A=\dfrac{181}{196}

Taking cos inverse on both sides.

A=\cos^{-1}\dfrac{181}{196}

A=22.561328

A\approx 22.6

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

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2 years ago
What is the equation in slope-intercept form of the line that passes through the points (2,-3)
Fittoniya [83]

Answer:

y=1x-6

Step-by-step explanation:

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6 0
2 years ago
.How much force is needed to accelerate a truck with a mass of 2,000 kg, at a rate of 3 m/s²?
ozzi
6000N

reason: according to Newton’s second law of motion, Force = Mass x Acceleration
using this, multiply 2000 by 3 to get 6000
7 0
3 years ago
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Simplify your answer and write it as a proper fra<br> as a whole or mixed number.<br> -7+ – 2 = ?
ZanzabumX [31]

the answer is -9

      hope it helps

4 0
3 years ago
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Idently the graph of f(x) = 3(x - 1) - 4. Then identity the vertex and ads of symmetry find the minimum value of and describe wh
Vesna [10]

Answer:

See below

Step-by-step explanation:

I assume you mean f(x) = 3(x-1)^2-4

The equation is already in vertex form f(x)=a(x-h)^2+k where a affects how "fat" or "skinny" the parabola is and (h,k) is the vertex. Therefore, the vertex is (h,k)\rightarrow(1,-4).

The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as x=h for a parabola with a vertical axis. Hence, the axis of symmetry is x=1.

The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is y=-4.

The interval where the function is decreasing is (-\infty,1)

The interval where the function is increasing is (1,\infty)

8 0
2 years ago
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