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Find Volume of 1 tennis ball:
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Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³
Volume of 1 tennis ball = 8.18 in³
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Find Volume of 3 tennis balls:
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Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³
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Find Volume of teh cylindrical canister:
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Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)
Volume of the cylindrical canister = 52.99 in³
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Find unoccupied space:
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Unoccupied space = 52.99 - 24.54
Unoccupied space = 28.45 in³
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Answer: 28.45 in³
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im just gonna take the points for falling for that.
Answer:
The equation is ;
4x - y = 13
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
from what we are given, let us write the second equation in the general form
x + 4y = 10
4y = -x + 20
y = -1/4x + 20/4
y = -1/4x + 5
mathematically, when two lines are perpendicular, the product of their slope is -1
So for the second line with slope m2
m2 * -1/4 = -1
m2 = 4
So, using the general form, we have the equation as;
y = 4x + b
To get the value of b, we substitute the coordinates of the given point (3,-1)
-1 = 4(3) + b
-1 = 12 + b
b = -1-12
b = -13
So the equation is;
y = 4x - 13 which can be rewritten as;
4x-y = 13
A single number or variable, or numbers and variables multiplied together.
If x = 2 + y then by substitution . . .
8 (2 + y) - 2y = 22
16 + 8y - 2y = 22
6y = 22 - 16
6y = 6
y = 1
And x = 2 + y = 2 + 1 = 3
Therefore, in (x, y) format . . . (3, 1)
