given f)x) then
- f(x) represents a reflection in the x-axis
f(x + 4 ) represents a shift of 4 units horizontally to the left
f(x) + 12 represents a vertical shift of 12 units down
thus h(x) = f(x + 4 ) - 12
is the graph of f(x), moved 4 units left, 12 units down and reflected in the x- axis
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
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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.
28 degrees. This is because the first angle is 12 degrees, the third is x degrees and the second is 5x. You know that in a triangle the angles add up to 180 degrees so 12 + 5x + x = 180. Then you get 6x =168 and x =28 degrees. (**x being the thrid angle**)
Answer:
AI and AJ
Step-by-step explanation:
Opposite rays start at the same point (A) and go in the complete opposite direction
Answer:
If two people have answered, you chose the one you want to give brainliest, and give them a crown on their answer.
Step-by-step explanation:
