Niviinsoul
Niviinsoul Niviinsoul
  • 26-07-2018
  • Mathematics
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Calculate the value of x to one decimal place. inches

Calculate the value of x to one decimal place inches class=

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gmany
gmany gmany
  • 26-07-2018

Use the law of cosines: [tex] c^2=a^2+b^2-2ab\cos C [/tex]

We have:

[tex]c=x\\a=3in\\b=7in\\C=54^o[/tex]

substitute:

[tex]\cos54^o\approx0.5878\\\\c^2=3^2+7^2-2\cdot3\cdot7\cdot0.5878\\\\c^2=9+49-24.6876\\\\c^2=33.3129\to c=\sqrt{33.3129}\\\\c\approx5.8[/tex]

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