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larisa [96]
2 years ago
14

Find the radius of a circle whose arc length is 55 m and its central angle measure if 5 radians

Mathematics
1 answer:
dimaraw [331]2 years ago
4 0

Answer:

Step-by-step explanation:

To solve this question, we can use the formula S=\theta r, where S is the arc length, \theta is the central angle of the sector in radians, and r is the radius.

In this situation, we know that S=55 and \theta=5

This means that 55=5r \longrightarrow \boxed{r=11}

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The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)
Ann [662]

Answer:

h=30

Step-by-step explanation:

Volume of a cone=1540cm^{3}, Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is \frac{1}{3} \pi r^{2} h to find the height of a cone.

1540cm^{3} =\frac{1}{3}\pi r^{2}  h

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

1540cm^{3}=\frac{1}{3}*\frac{22}{7}  7^{2}h

1540cm^{3} =\frac{154}{3}h

Move \frac{154}{3} to another side. 1540 divided by  \frac{154}{3} to calculate what is the value of h, h is the height of a cone. Like this.

\frac{1540cm^{3} }{\frac{154}{3} } =h

30=h

Rearrange the h.

h=30

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

4 0
3 years ago
Read 2 more answers
Without multiplying, determine the sign of the product (356,864)(−194,758).
STatiana [176]
I think it would be A.) but at the same time i think it's wrong

8 0
3 years ago
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5 1/3-3 2/4 find the difference
Vinil7 [7]

Answer:

1 10/12

Step-by-step explanation:

Take the fractions and get them to the same bottom number, 12.  So it would be 5 4/12 -  3 6/12.

Take 1 away from 5 to get 4 and the one you pulled would be 12/12(also equal to 1).  4  16/12 - 3  6/12 would be 1  10/12

8 0
3 years ago
The population of Clarksville is about 6,000 people. What is the population written as a whole number multiplied by a power of t
kupik [55]
Well 6,000 is actually equal to 1,000 x 6.

It turns out that 1,000 = 10 x 10 x 10 = 10^3

So the answer to your question is:

6 x 10^3
6 0
3 years ago
Someone plz help me
aksik [14]

Answer:

4, 3.5, 4.5, 4.2, and 3.7

Step-by-step explanation:

It's math

4 0
3 years ago
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