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SpyIntel [72]
4 years ago
14

When evaluating proportions, we write the ratios in fractional form and then we

Mathematics
1 answer:
harkovskaia [24]4 years ago
7 0
Answer: set the cross product equal.

Explanation.

A proportion is the equality of two ratios.

For example:

1        6
--- = ------
3       18

You may use the proportions to find the value of an unknown quanity

For example

1        x
--- =  ----
3       24

So, if you want to solve for the unknown, the next step isto set the cross product equal:

1*24 = 3*x

=> 24 = 3x

From which you can obtain: x = 24 / 3 = 8
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Solve the triangle. A = 54°, b = 11, c = 8
Delicious77 [7]
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.

For finding side a, you can answer this easily by the Law of Cosines. The equation is

a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
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a = √81.55
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Then, we use the Law of Sines to find angles B and C. The formula would be

a/sinA = b/sinB = c/sinC
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9/sin54° = 8/sinC
C = 45.6°

The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
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Answer:

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t = 14.5

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