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MAXImum [283]
3 years ago
10

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find cos B.

Mathematics
1 answer:
kompoz [17]3 years ago
5 0
Anwer: 9 / 41

Explanation:

Definition of the function (ratio) cos(x)

cos(angle) = adjacent-leg / hypotenuse

In this case:

- the angle is B,
- the adjacent-leg is 27,
- and the hypotenuse is 123

Therefore: cos(B) = 27 / 123 which can be simplified by 3 to obtain:

27 / 123 = 9 / 41

Answer: 9 / 41


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8 0
2 years ago
Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X
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Answer:

140 ml

Step-by-step explanation:

Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.

<u>Then we get following equations:</u>

<u>First part</u>

  • x - 50 = 3/7(y + 50)
  • 7x -350 = 3y + 150
  • 7x = 3y + 500

<u>Second part</u>

  • x + 100 = 4(y - 100)
  • x + 100 = 4y - 400
  • x = 4y - 500

<u>Substitute x in first equation:</u>

  • 7(4y - 500) = 3y + 500
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  • 28y - 3y = 500 + 3500
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  • y = 4000/25
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<u>Then finding x:</u>

  • x = 4*160 - 500
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3 years ago
Evaluate the expression.
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