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kaheart [24]
3 years ago
7

Of 300 students in the cafeteria, 180 had lunch. Write the simplified ratio of the students in the cafeteria to the students tha

t had lunch.
Mathematics
2 answers:
yan [13]3 years ago
3 0

Answer:

300 : 180 = 5 : 3

Scilla [17]3 years ago
3 0
Answer...
300 : 180 = 5 : 3
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Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

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a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

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V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

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A cylinder has a volume of 2457 cubic units and a height of 5 units. The diameter of the cylinder is?
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Step-by-step explanation:

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Step-by-step explanation:

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No. of panels required = (29.66)/(2/3) = 45 panels approximately

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