Answer:
14
Step-by-step explanation:
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Answer:

Step-by-step explanation:
Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

With this Pythagorean Triple, we know that our dimensions are correct. Now, to find the perimeter, just add up all the sides EXCEPT for the divider:
![\displaystyle 2[10] + 2[8] = 20 + 16 = 36](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5B10%5D%20%2B%202%5B8%5D%20%3D%2020%20%2B%2016%20%3D%2036)
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Answer:
The volume of the cylinder with given height and radius is 150.72 centimeters³ .
Step-by-step explanation:
Given as :
the height of cylinder = H = 12 centimeters
The diameter of cylinder = D = 4 centimeters
So The radius of cylinder = R = 
Or, R =
I.e R = 2 cm
The volume of cylinder is given as V =
×R²×H
where R is the radius and H is the height
So, V = 3.14×(2)²×12
Or, V = 3.14×48
∴ V = 150.72 centimeters³
So, The volume is 150.72 centimeters³
Hence The volume of the cylinder with given height and radius is 150.72 centimeters³ . Answer
Answer:
Step-by-step explanation:
Total surface area of a cone is given by the expression,
SA = πrl + B
Here, r = Radius of the circular base
l = slant height
B = Surface area of the base
Surface area of the circular base = πr²
= π(5)²
= 25π cm²
Slant height 'AC' = 
= 
= 
= 13 cm
Substitute the values in the expression of surface area,
SA = π(5)(13) + 25π
= 65π + 25π
= 90π cm²
Therefore, SA = 90π cm² will be the answer.
Answer:
1) Add 3n to both sides
2) Subtract 5 from both sides
3) Divide both sides by 6
n=3
Step-by-step explanation:
3n+5=23-3n
+3n +3n
6n+5=23
-5 -5
6n=18
/6 /6
n=3