<span>The Volume of a Cylinder = </span><span>π <span>• r² • height<span>
</span></span></span>radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume =
<span>
<span>
<span>
2,290 cubic feet</span></span></span>
The hose delivers 80 <span>cubic feet per hour so it will take:
</span>2,290 / 80 =
<span>
<span>
<span>
28.625
</span>
</span>
</span>
hours
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The volume of the pool is:
volume = PI * 182.25 * 4.5
=
<span>
<span>
<span>
2,576.</span></span></span>5 cubic feet
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
the baseline (where the height hits at a 90° angle) is 4 m.
the height is 3.7 m.
so, the area is
4 × 3.7 / 2 = 2 × 3.7 = 7.4 m²
Answer:
b.
Step-by-step explanation:
We have to look at sign changes in f(x) to determine the possible positive real roots.
There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.
Now we have to look at sign changes in f(-x) to determine the possible negative real roots.
There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:
1 positive
3 or 1 negative
We need to pair them up now with all the possible combinations.
If we have 1 positive and 1 negative, we have to have 2 imaginary
If we have 1 positive and 3 negative, we have to have 0 imaginary
Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.
The equation computed shows that the number of minutes that it will take to process fifteen passengers is 11.11 minutes.
<h3>How to solve the equation</h3>
Since Katrina averages fifteen passengers every twenty minutes and Stefon also works for the airline and averages fifteen passengers every twenty-five minutes, this can be represented this:
1/x = 1/20 + 1/25
1/x = 9/100
9x = 100
Divide through by 9
x = 100/9
x = 11.11 minutes
Learn more about equations on:
brainly.com/question/1214333
They need 18 more teachers.
Set the problem up as a ratio.
3 x
---- = -------
70 14,700
70 x = 44,100
x = 630
The district already has 612 teachers. So, 630 - 612 = 18 more needed.
