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Galina-37 [17]
3 years ago
9

WILL GIVE BRAINLIEST (Right angle) Trigonometry please help!

Mathematics
1 answer:
nirvana33 [79]3 years ago
8 0

Answer:

<A = 41.4°

Step-by-step explanation:

Recall, SOH CAH TOA

Reference angle = <A

Hypotenuse length = 8

Adjacent length = 6

Since Hypotenuse and Adjacent are involved, we would apply CAH, which is:

Cos A = Adj/Hyp

Plug in the values

Cos A = 6/8

Cos A = 0.75

A = Cos^{-1}(0.75)

A = 41.4096221° ≈ 41.4° (nearest tenth)

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A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12 % iodine and another that is 37 %.
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Answer:

21 liters of the 12% solution and 4 liters of the 37% solution

Step-by-step explanation:

Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:

0.12x+0.37y = 4

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Multiplying the bottom equation by 0.12, we have

0.12x + 0.12y = 3

Subtracting, we have

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-

0.12x + 0.12y = 3

= 0.25y = 1

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Answer:

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