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Naya [18.7K]
3 years ago
13

What is the volume of the cone in the diagram? height:18 radius:10

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
8 0

Answer: 150

Step-by-step explanation: it says in the quiz

algol133 years ago
4 0

Answer:

150 cubic units

Step-by-step explanation:

edmentum confirmed

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<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Cunderline%7B%20%5Ctext%7Bquestion%7D%7D%7D%20%3A%20" id="TexFormula1"
steposvetlana [31]

Answer:

See Below.

Step-by-step explanation:

In the given figure, AP = BP = PC.

And we want to prove that ∠ABC is a right angle.

Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.

By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be <em>x°</em>.

Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.

And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to <em>x°.</em>

<em />

And since the sum of the interior angles of a triangle total 180°, we acquire:

\angle PAB+\angle PBA+\angle PCB+\angle PBC=180

Since they are all equivalent:

4x=180

Hence:

x=45^\circ

∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:

\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ

8 0
2 years ago
Read 2 more answers
Anne picked out 3 board games from her cabinet to take to a game night with her friends. She still has more than 10 board games
Tresset [83]

Answer:

x - 3 > 10

There were more than

13

board games in Anne's cabinet to start.

Step-by-step explanation:

The variable x represents how many board games were in Anne's cabinet to start. Since she has already picked out 3 board games to bring, the expression x–3 represents how many board games are still in the cabinet.

And, since Anne has more than 10 board games still in her cabinet, x–3 must be greater than 10.

This inequality shows the relationship.

x–3>10

Now, solve for x.

x–3

> 10

x–3+3

> 10+3 Add 3 to both sides

x

> 13 Simplify

So, there were more than 13 board games in Anne's cabinet to start.

8 0
2 years ago
What is 2.3,24/5,2.6 form least to grea
tiny-mole [99]
It is 2.3/2.6/5/24
from least to greatest
5 0
3 years ago
Read 2 more answers
What is the measure of z?<br> an<br> z= [?
Gemiola [76]

what to find

measure of z =1

7 0
3 years ago
What are the coordinates for a dilated triangle, A’B’C’, if the scale factor for the dilation is 0.75?
ycow [4]

Answer:

D.

A’(–3.75, 0.75); B’(0, 1.5); C’(3, –1.5)

Step-by-step explanation:

Did this on edgenut and got it right

Hope this helps

6 0
2 years ago
Read 2 more answers
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