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igomit [66]
3 years ago
8

What is the value of x? Show all of your work.

Mathematics
2 answers:
vitfil [10]3 years ago
8 0
You can use the Pythagorean theorem: a^2+b^2=c^2.

x^2+36=117 so x is 9 or -9 but since this is a length it would have to be positive so the answer is 9.
Sonja [21]3 years ago
6 0
The Pythagorean Theorem states that the hypotenuse of a right triangle is equal to the square root of the sum of its squared sides, mathematically:

h^2=x^2+y^2, where h=hypotenuse and x and y are the side lengths.

In this case we can say:

(√117)^2=6^2+x^2

117=36+x^2

x^2=117-36

x^2=81

x=√81  since x>0

x=9 cm
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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)
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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.

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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

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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!

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