document.write( "Question 212761: in triangle ABC, A=27 degrees 35' , B=78 degrees 23' , and c=19.find a.round to the nearest tenth.\r
\n" ); document.write( "\n" ); document.write( "a)8.6
\n" ); document.write( "b)9.2
\n" ); document.write( "c)12.8
\n" ); document.write( "d)19.4
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Algebra.Com's Answer #160701 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
In triangle ABC, A=27 degrees 35' , B=78 degrees 23' , and c= 19. Find a and round to the nearest tenth.\r
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\n" ); document.write( "\n" ); document.write( "a)8.6
\n" ); document.write( "b)9.2
\n" ); document.write( "c)12.8
\n" ); document.write( "d)19.4\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Convert angles A and B to decimal form (where 1 degree = 60 minutes)\r
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\n" ); document.write( "\n" ); document.write( "\"A=27%2B35%2F60=27.583\" degrees\r
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\n" ); document.write( "\n" ); document.write( "\"B=78%2B23%2F60=78.333\" degrees\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Use a property of a triangle where sum of the angles of a triangle is 180 degrees to find angle C\r
\n" ); document.write( "\n" ); document.write( "\"C=180-A-B=180-27.583+-78.333=74.084+\"\r
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\n" ); document.write( "\n" ); document.write( "\"C=74.084\"\r
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\n" ); document.write( "\n" ); document.write( "Step 2. To find c, Law of Sines\r
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\n" ); document.write( "\n" ); document.write( "\"sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin%28A%29%2Fa=sin%28C%29%2Fc\"\r
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\n" ); document.write( "\n" ); document.write( "\"a=c%2Asin%28A%29%2Fsin%28C%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"a=19%2Asin%2827.583%29%2Fsin%2874.084%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"a=9.148=9.2\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. ANSWER IS 9.2 or (b)\r
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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