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3 years ago

Can any math genius help me with this

Mathematics

1 answer:

vovangra [49]3 years ago

8 0

Here's my working for 1) You need to find the exterior angle, then divide by 360 to find the number of sides:

Applying these steps : 

180 (Interior Angles) - 162 = 18 (Exterior angle)

360 ÷ 18 is 20 sides 

For 2)

Its the same method, so apply the steps:

180 - 175 = 5

360 ÷ 5 = 72 sides 

Hope it helps! :) 

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3 years ago

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What is the answer to this?

Trava [24]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have

$2r=4\ in\to r=2\ in\\\\H=8\ in$

Substitute:

$V_1=\pi(2^2)(8)=\pi(4)(8)=32\pi\ in^3$

The formula of a volume of a cone:

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

We have

$r=2\ in\\\\H=0.7\ in$

Substitute:

$V_2=\dfrac{1}{3}\pi(2^2)(0.7)=\dfrac{1}{3}\pi(4)(0.7)=\dfrac{1}{3}\pi(2.8)=\dfrac{2.8\pi}{3}=\dfrac{28\pi}{30}=\dfrac{14\pi}{15}\ in^3$

The volume of the plastic object:

$V=V_1-V_2$

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3 years ago