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  • 04-03-2019
  • Mathematics
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What is the value of b?



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Round only your final answer to the nearest whole number.

What is the value of b Enter your answer in the box Round only your final answer to the nearest whole number class=

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jimrgrant1 jimrgrant1
  • 04-03-2019

Answer:

17

Step-by-step explanation:

Using the law of cosines in ΔABC

b² = a² + c² - (2ac cosB) ← substitute in values

   = 25² + 28² - (2 × 25 × 28 × cos36.9°)

   = 625 + 784 - 1400 cos36.9°

   = 1409 - 1400 cos36.9° ( Take the square root of both sides )

b = [tex]\sqrt{1409-1400cos36.9}[/tex] ≈ 17 ( nearest whole number )

   

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