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GuDViN [60]
3 years ago
8

Someone please help me! Studying for finals and don’t understand how to complete problems like this! Thank you!

Mathematics
1 answer:
Drupady [299]3 years ago
6 0

Answer:

(d). \frac{152}{377}

Step-by-step explanation:

sin² β + cos² β = 1

cos (α + β) = cos α cos β - sin α sin β

cos α = √(1 - \frac{400}{841} ) = 21 / 29

cos β = 12 / 13

sin β = √(1 - \frac{144}{169} ) = 5 / 13

sin α = 20 / 29

cos (α + β) = \frac{21}{29} × \frac{12}{13} - \frac{20}{29} × \frac{5}{13} = \frac{152}{377}

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Answer:

The general admission ticket number is 160 and the upper box ticket number is 136

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x be general admission tickets number

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So:

6.5 * x + 10 * y = 2400

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Replacing, we are left with that:

6.5 * (296 - y) + 10 * y = 2400

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10 * y - 6.5 * y = 2400 - 1924

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Now to calculate x:

x = 296 - 136

x = 160

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