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3 years ago

5

Find the value of b here

1 answer:

sweet [91]3 years ago

8 0

Answer:

Step-by-step explanation:

We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.

The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your 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:

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

r - radius

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:

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2 years ago

What is a factor of 15 but not a multiple of 3

11111nata11111 [884]

45
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3 years ago

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defon

Answer:

x = 24

Step-by-step explanation:

Given that:

(x+3)/3 = 9

multiplying both sides by 3

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(x+3)= 27

Subtracting 3 from both sides

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I hope it will help you!

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