document.write( "Question 829942: Find the missing parts using the Cosine Law.\r
\n" ); document.write( "\n" ); document.write( " a = ? A = 40º
\n" ); document.write( " b = 8 B = ?
\n" ); document.write( " c = 10 C = ?
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Algebra.Com's Answer #500272 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "THE PROBLEM:\r\n" );
document.write( "Find the missing parts using the Cosine Law:\r\n" );
document.write( "a =   ?     A =  40º            \r\n" );
document.write( "b =   8    B =   ?             \r\n" );
document.write( "c =   10  C =   ?    \r\n" );
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document.write( "A SOLUTION:\r\n" );
document.write( "The Cosine Rule can be written in three forms:\r\n" );
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document.write( "\"a%5E2=b%5E2%2Bc%5E2-2bc%2Acos%28A%29\"\r\n" );
document.write( "\"b%5E2=a%5E2%2Bc%5E2-2ac%2Acos%28B%29\"\r\n" );
document.write( "\"c%5E2=a%5E2%2Bb%5E2-2ab%2Acos%28C%29\"\r\n" );
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document.write( "Use the first form to solve for a\r\n" );
document.write( "\"a%5E2=b%5E2%2Bc%5E2-2bc%2Acos%28A%29\"\r\n" );
document.write( "\"a%5E2=%288%29%5E2%2B%2810%29%5E2-2%288%29%2810%29%2Acos%2840%29\"\r\n" );
document.write( "\"a%5E2=64%2B100-160%2A%280.7760%29\"\r\n" );
document.write( "\"a%5E2=41.4329\"\r\n" );
document.write( "\"a=6.4\"\r\n" );
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document.write( "Use the second form to solve for angle B.\r\n" );
document.write( "\"b%5E2=a%5E2%2Bc%5E2-2ac%2Acos%28B%29\"\r\n" );
document.write( "\"%288%29%5E2=%2841.4329%29%2B%2810%29%5E2-2%286.4%29%2810%29%2Acos%28B%29\"\r\n" );
document.write( "\"64=41.4329%2B100-128%2Acos%28B%29\"\r\n" );
document.write( "\"cos%28B%29=-77.4329%2F-128=0.6049\"\r\n" );
document.write( "\"B=52.8\"\r\n" );
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document.write( "Use the third form to solve for angle C.\r\n" );
document.write( "\"c%5E2=a%5E2%2Bb%5E2-2ab%2Acos%28C%29\"\r\n" );
document.write( "\"%2810%29%5E2=%2841.4329%29%2B%288%29%5E2-2%286.4%29%288%29%2Acos%28C%29\"\r\n" );
document.write( "\"100=41.4329%2B64-102.4%2Acos%28C%29\"\r\n" );
document.write( "\"cos%28C%29=-5.4329%2F-102.4=-0.6049\"\r\n" );
document.write( "\"C=87.0\"\r\n" );
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document.write( "a = 6.4  A =  40º            \r\n" );
document.write( "b = 8    B =   52.8º             \r\n" );
document.write( "c = 10  C =   87.0º    \r\n" );
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document.write( "These values are approximate, rounded to the tenths place.\r\n" );
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document.write( "Hope this helps! Feel free to email if you have any questions about the solution.\r\n" );
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document.write( "Good luck with your math,\r\n" );
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document.write( "Mrs. F\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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