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Maslowich
3 years ago
11

* WILL PAY GIVE CASH APP *In the middle school band, there are 5 flutes for every 2 tubas. Write the ratio of flutes to tubas in

three different ways.
2/5 ; 2 to 5; 2:5
5/2 ; 2 to 5; 2:5
5/2 ; 5 to 2; 5:2
2/5 ; 5 to 2; 5:2
Advanced Placement (AP)
2 answers:
katrin [286]3 years ago
7 0
<h2>The answer would be the third one:</h2><h2 /><h2>5/2 ; 5 to 2; 5:2</h2><h2 /><h2>The others don't make sense, especially the first and last one. The first and last one are basically saying 2 tubas for every 5 flutes, which is the other way around. Also, the second one would've been right, but it has 2 to 5</h2>

enyata [817]3 years ago
4 0
The third one

5/2; 5 to 2,5:2
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Answer:

r = 5.24 --- Radius

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Explanation:

Given

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Substitute 517.8 for S.A

517.8 = 2\pi r^2 + 2\pi rh

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258.9 = \pi r(r + h)

Divide through by \pi r

\frac{258.9}{\pi r} = r + h

Make h the subject

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Volume (V) is calculated as:

V = \pi r^2h

Substitute (1) for h

V = \pi r^2(\frac{258.9}{\pi r} - r)

Open Bracket

V = 258.9r - \pi r^3

Differentiate V

V' = 258.9 - 3\pi r^2

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Divide through by 3

\pi r^2 = 86.3

Divide through by \pi

r^2 = \frac{86.3}{\pi}

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Take square root of both sides

r = \sqrt{\frac{604.1}{22}

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Recall that:

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Substitute 5.24 for r

h = \frac{258.9}{\pi * 5.24} - 5.24

h = \frac{258.9*7}{22 * 5.24} - 5.24

h = \frac{1812.3}{115.28} - 5.24

h = 15.72 - 5.24

h = 10.48

Hence, the dimension that maximize the volume is:

r = 5.24 --- Radius

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