Answer:
x=3
Step-by-step explanation:
5х - 2 = 3х + 4
5х - 3х = 4 + 2
2х = 6
х = 6/2
х = 3
Hope this helps!
Answer:
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
Step-by-step explanation:
A. The formula for the volume of a hemisphere is ...
V = (2/3)πr³
For a radius of 5 m, the volume is ...
V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³
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B. The formula for the volume of a cylinder is ...
V = πr²h
For a radius of 5 m and a height of 12 m, the volume is ...
V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³
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C. Then the total volume is ...
V = hemisphere volume + cylinder volume
V = 261.799 m³ +942.478 m³ = 1204.277 m³
__
Rounded to the nearest integer, the volumes are ...
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
_____
As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.
Answer:
108º
Step-by-step explanation:
to find the sum of interior angles: ( n − 2 ) × 180 = x
x = 540º
n = # of interior angles
first, solve for n
(n - 2) • 180 = 540 distribute to 180 to (n - 2)
180n - 360 = 540 add 360 to both sides
180n = 900 divide both sides by 180
n = 5
to find measure of each angle:
540 ÷ 5 = 108º
Answer:
He missed 10 questions and got 30 right
Step-by-step explanation:
So we could do 0.75 times 40 and we would get 30
So he got 30 questions right which isn't too bad