Answer:
Because in the previous step we proved that two triangles were congruent, the answer is CPCTC.
Answer: Archimedes go to sleep at 8.32 metres away from the rock.
Step-by-step explanation:
Given that the rock beside which he slept was 5 meters tall
Height h = 5m
Angle Ø = 31 degree
To get distance x away from the rock, we will use trigonometry function. SohCahToa
TanØ = opposite/adjacent
Tan 31 = 5/x
x = 5/tan31
x = 8.32m
That would be
( x + 3)^2 + (y + 5)^2 = 6^2
(x + 3)^2 + (y + 5)^2 = 36 answer
the new radius be to meet the client's need is 4.9 cm .
<u>Step-by-step explanation:</u>
Here we have , can company makes a cylindrical can that has a radius of 6 cm and a height of 10 cm. One of the company's clients needs a cylindrical can that has the same volume but is 15 cm tall. We need to find What must the new radius be to meet the client's need . Let's find out:
Let we have two cylinders of volume 
with parameters as follows :
We know that volume of cylinder is 
, According to question volume of both cylinder is equal i.e
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Putting all values
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the new radius be to meet the client's need is 4.9 cm .
Answer: n=4
Step-by-step explanation:
Given
3n-(2+n)=6
Expand Parenthesis (REMEMBER TO CHANGE SIGNS)
3n-2-n=6
Combine like terms
2n-2=6
Add 2 on both sides
2n-2+2=6+2
2n=8
Divide both sides by 2
2n/2=8/2
n=4
Hope this helps!! :)
Please let me know if you have any questions
