TheBlue2897 TheBlue2897
  • 12-03-2020
  • Mathematics
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Find the value of x to the nearest tenth.

Find the value of x to the nearest tenth class=

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sqdancefan
sqdancefan sqdancefan
  • 12-03-2020

Answer:

  9.4

Step-by-step explanation:

The law of cosines tells you ...

  c^2 = a^2 + b^2 -2ab·cos(C)

where a and b are the side lengths on either side of angle C, and c is the side opposite that angle. For the values given here, we have ...

  c^2 = 8^2 +15^2 -2·8·15·cos(33°) ≈ 87.7191

  x = c ≈ √87.7191 ≈ 9.4 . . . . . the side opposite the given angle

The value of x is about 9.4.

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