janetkimberlina janetkimberlina
  • 18-11-2021
  • Mathematics
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In LMN, m = 8 cm, n = 2.8 cm and ZL=103°. Find the length of 1, to the nearest
10th of a centimeter.

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sqdancefan
sqdancefan sqdancefan
  • 18-11-2021

9514 1404 393

Answer:

  9.1 cm

Step-by-step explanation:

The law of cosines can be used to find the missing side.

  l² = m² +n² -2mn·cos(L)

  l² = 8² +2.8² -2(8)(2.8)cos(103°) ≈ 81.9178

  l ≈ √81.9178 ≈ 9.0508

The length of l to the nearest tenth centimeter is 9.1 cm.

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