document.write( "Question 1009282: I am very stuck. I can't figure out how to solve this. I know it involves pythagorean theorem, but I don't know how to solve it without legs. Can you help me, please?
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document.write( "There are two tvs of different sizes. One is a 42\" diagonal TV that costs $420, the other is a 50\" diagonal tv that costs $550. The aspect ratio of each is 16:9, width to height. What is the cost per square inch of each tv?
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document.write( "Thank you in advance! \n" );
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Algebra.Com's Answer #624770 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! There are two tvs of different sizes. One is a 42\" diagonal TV that costs $420, the other is a 50\" diagonal tv that costs $550. The aspect ratio of each is 16:9, width to height. What is the cost per square inch of each tv? \n" ); document.write( "--------------- \n" ); document.write( "Note:: 16:9 is the same as 16x:9x \n" ); document.write( "------- \n" ); document.write( "Equation for 42\" TV:: \n" ); document.write( "sqrt[(16x)^2+(9x)^2] = 42 \n" ); document.write( "----- \n" ); document.write( "(16x)^2 + (9x)^2 = 42^2 \n" ); document.write( "---- \n" ); document.write( "337x^2 = 1764 \n" ); document.write( "x^2 = 5.2344 \n" ); document.write( "x = 2.287 \n" ); document.write( "---- \n" ); document.write( "Dimensions:: \n" ); document.write( "9x = 20.59\" \n" ); document.write( "16x = 29.73\" \n" ); document.write( "--- \n" ); document.write( "Area = 612.16 sq in \n" ); document.write( "Cost per square in:: $420/612.16 = $0.69 \n" ); document.write( "----------------- \n" ); document.write( "I'll leave the 2nd TV cost per square in to you. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------- \n" ); document.write( " \n" ); document.write( " |