document.write( "Question 185893This question is from textbook Beginning Algebra
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document.write( ": would you please help me with this problem, i have been racking my brain for two days to figure it out...ok this is how it goes: There is a sailboat which must have a 110 ft mast and a combined mainsain and jibsail area of 3000 sq ft. The design calls for the mainsail to be 60% of the combined sail area,and the jibsail area to be 40%(of course). If the height of the triangular mainsail is 28ft more than twice the length of the boom, find the length of the boom and the height of the mainsail. \r
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document.write( "I've figured out this much so far... the mainsail=1800sq ft, and the jibsail =1200sq ft. Height=(2(boom)+28sq ft). and i know that the area of a triangle is A=1/2(base)(heigth). that is about it, i've played around with the numbers but haven't gotten it correct yet. Any help you can offer would be tramendous!Thanks \n" );
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Algebra.Com's Answer #139416 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! you do know that the boom is the base, right?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1800 = 1/2 * boom * (2(boom)+28)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1800 = b^2+14b ___ 0 = b^2+14b-1800\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "factoring ___ 0 = (b-36)(b+50)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so b=36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and h=100 \n" ); document.write( " |