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Illusion [34]
2 years ago
12

What is the length of side c, given a = 10, b = 8, and c = 105°?

Mathematics
1 answer:
posledela2 years ago
5 0
We can calculate using cosinus method in triangle
c² = a² + b² - 2ab cos c

Plug in the number to the formula
c² = a² + b² - 2ab cos c
c² = 10² + 8² - 2(10)(8) cos 105°
c² = 100 + 64 - 160 cos 105°
c² = 164 - 160 (-0.26)
c² = 164 + 41.6
c² = 205.6
c = √205.6
c =14.34

C is 14.34 unit length
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Answer:

Option C) 0.67

Step-by-step explanation:

We are given the following in the question:

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S: Science honors

Probability of being in honors math = 0.30

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P(M\cap S) = 0.20

We have to find the probability of being in honors science if you are in honors math.

We have to evaluate:

P(S|M) = \dfrac{P(M\cap S)}{P(M)} = \dfrac{0.20}{0.30} = 0.67

Thus, 0.67 is the probability of being in honors science if you are in honors math.

Thus, the correct answer is

Option C) 0.67

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3 years ago
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3 years ago
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saveliy_v [14]

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Step-by-step explanation:

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Since my name is in this question, I'll answer it :)

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Step-by-step explanation:

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