The expression that represent the area of the cut off part is 81π / 4
<h3>How to find area?</h3>
The area of the cut off part can be found as follows:
Area of a circle = πr²
where
Therefore, the cut off part is like 1 / 4th of a circle.
Hence,
area of the cut off region = πr² / 4
r = 9 inches
area of the cut off region = π9² / 4
area of the cut off region = 81π / 4
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Answer:
Step-by-step explanation:
"When 200 gallons of oil were removed from a tank" algebraically looks like this:
V - 200.
"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:
3/7(V)
Therefore, the equation is
V - 200 = 3/7(V)
Begin by multiplying both sides by 7:
7(V - 200) = 3V and
7V - 1400 = 3V so
-1400 = -4V so
V = 350 gallons
That's if the volume of the oil in the tank was 3/7 of the tank's capacity.
For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:
V - 200 = 1/2(V)
Multiplying both sides by 2 gives you
2(V - 200) = V and
2V - 400 = V so
-400 = -V so
V = 400
Answer:
20 in
Step-by-step explanation:
Vol. = Bh where B is the area of the base and h is the height of the prism
500 = 25h
h = 20 in
Step-by-step explanation:
Step 1: Plot the points
L(1,2)
M(0,-1)
J(1,-2)
K(2,-1)
Step 2: Multiply each point by 5.
and record thise points so we have
L(5,10)
M(0,-5)
J(5,-10)
K(10,-5)
Step 3: Plot those points.
