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Natasha2012 [34]
3 years ago
14

Enter the number that belongs in the green box

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

Answer:

B =107

Step-by-step explanation:

<B = <D

We can find <D from the sum of the angles of a triangle

32+ D +41 = 180

73+ D = 180

D = 180-73

D =107

Therefore B =107

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Answer:

1/20

Step-by-step explanation:

(1/5) ÷ 4

*remember, you don't divide fractions, you multiply the first fraction by the inverse (flip it upside down) of the second fraction.*

(1/5) × (1/4) = (1/20)

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I NEED ASAP DUE IN 20 MINS
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Answer:

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3 years ago
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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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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