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Thepotemich [5.8K]
3 years ago
8

The ratio of freshman to sophomores to juniors to seniors in band is 1:2:3:2. If there are a total of 240 students in band, how

many are in each grade level?
Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer : Each grade level will be 30,60,90,30 respectively.

Explanation:

Since we have given that ratio of freshman to sophomores to juniors to seniors in band is 1:2:3:2

Let the number of fresh man be x

Let the number of sophomores be 2x

Let the number of juniors be 3x

Let the number of seniors be 2x

According to question,

x+2x+3x+2x=240

⇒8x=240

⇒x=\frac{240}{8}

⇒x=30

So, the required number of freshman is 30

Number of sophomores is 2×30=60

Number of juniors is 3×30=90

Number of seniors is 2×30=60

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Answer:

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Step-by-step explanation:

The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.

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  c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784

  c = √784 = 28

The longer side is 28 meters.

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