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liberstina [14]
3 years ago
12

How do you simplify 3/4 + 7/10?

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0
Answer : 1 9/20

1st Step : Make common denominators

3/4 + 7/10 = 15/20 + 14/20

2nd Step : Add!

15/20 + 14/20 = 29/20

3rd Step : Simplify, make the fraction a mixed number

29/20 = 1  9/20

1 and 9/20 is your answer
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You triple your account balance by making a deposit. Then you withdraw $28.50 from your bank account. Now your account is overdr
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Work out the volume of the shape​
pashok25 [27]

Answer:

\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

V_c=\dfrac{1}{3}\pi r^2H

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H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3

The formula of a volume of a sphere:

V_s=\dfrac{4}{3}\pi R^3

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Therefore the formula of a volume of a half-sphere:

V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3

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V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3

The volume of the given shape:

V=V_c+V_{hs}

Substitute:

V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3

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