This comes from subtracting 4 from both sides.
The volume of the water storage tank is the amount of space in it
The volume of the water storage tank is 6468 cubic feet
<h3>How to determine the volume?</h3>
The given parameters are:
Radius (r) = 21 feet
Height (h) = 14 feet
The shape of the water storage tank is a cone.
And the volume of a cone is:
V = 1/3πr^2h
So, we have:
V = 1/3 * 22/7 * 21^2 * 14
This gives
V = 6468
Hence, the volume of the water storage tank is 6468 cubic feet
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Let x be a random variable representing the number of skateboards produced
a.) P(x ≤ 20,555) = P(z ≤ (20,555 - 20,500)/55) = P(z ≤ 1) = 0.84134 = 84.1%
b.) P(x ≥ 20,610) = P(z ≥ (20,610 - 20,500)/55) = P(z ≥ 2) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275 = 2.3%
c.) P(x ≤ 20,445) = P(z ≤ (20,445 - 20,500)/55) = P(z ≤ -1) = 1 - P(z ≤ 1) = 1 - 0.84134 = 0.15866 = 15.9%
I’m gonna say it’s a carrot
The equation of the perpendicular bisector of BC with B(-2, 1), and C(4, 2) is y = 7.6 - 6•x
<h3>Which method can be used to find the equation of the perpendicular bisector?</h3>
The slope, <em>m</em>, of the line BC is calculated as follows;
- m = (2 - 1)/(4 - (-2)) = 1/6
The slope of the perpendicular line to BC is -1/(1/6) = -6
The midpoint of the line BC is found as follows;
![\left( - 2 + \frac{4 - ( - 2)}{2}, \: 1 + \frac{2 - 1}{2} \right) = (1,\: 1.5)](https://tex.z-dn.net/?f=%20%5Cleft%28%20-%202%20%2B%20%20%5Cfrac%7B4%20-%20%28%20-%202%29%7D%7B2%7D%2C%20%5C%3A%201%20%2B%20%20%5Cfrac%7B2%20-%201%7D%7B2%7D%20%20%20%5Cright%29%20%3D%20%281%2C%5C%3A%201.5%29)
The perpendicular bisector is the perpendicular line constructed from the midpoint of BC.
The equation of the perpendicular bisector in point and slope form is therefore;
(y - 1.5) = -6•(x - 1)
y - 1.6 = -6•x + 6
y = -6•x + 6 + 1.6 = 7.6 - 6•x
Which gives;
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