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LenKa [72]
3 years ago
7

Find m∠U. Write your answer as an integer or as a decimal rounded to the nearest tenth.

Mathematics
1 answer:
AleksAgata [21]3 years ago
3 0

Answer:

50.2

Step-by-step explanation:

ut =  \sqrt{ {6}^{2}  +  {5}^{2} }   \\  \sqrt{36 + 25}  \\  \sqrt{61 }  \\ using \: cosine \: rule \\ cos \: u =  \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times  \sqrt{61} }  \\  \\  =  \frac{25 + 61 - 36}{78}  \\  \\  = \frac{50}{78 }  \\  \cos \: u = 0.64 \\ m \:u = 50.2

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