Answer:
150°
Step-by-step explanation:
To find the sum of all the interior angles in a regular polygon, us this formula, where n is the number of sides: (n-2)*180
(12-2)=10
10*180=1800
Now we have the sum of all the angles. But we aren't done yet! We have to divide this value by the number of sides to find the measure of one angle.
So,
1800/12=
150
Hope this helps!
Answer:
Step-by-step explanation:
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Look at the photo below for the answer.
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Heather invested $2,200 at 9% and invested $3,700 at 4%
What represents the amount invested in each asset?
The amount invested at 9% can be represented as x whereas the balance invested at 4% is (5900-x), as a result, the interest earned on each is computed thus:
Interest 9%=x*9%
interest at 9%=0.09x
Interest at 4%=(5900-x)*4%
interest at 4%=236-0.04x
Total interest=0.09x+236-0.04x
total interest=0.05x+236
Total interest earned=346
346=0.05x+236
346-236=0.05x
110=0.05x
x=110/0.05
x=$2,200(invested at 9%)
amount invested at 4%=5900-2200
amount invested at 4%=$3,700
Find out more about simple interest on:brainly.com/question/14214349
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Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
