document.write( "Question 87191: I would appreciate if a tutor would teach me how to solve the following word problems step by step.\r
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document.write( "1) Solve the problem.\r
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document.write( "The height of a box is 8 inches. The length is three inches more than the width. Find the width if the volume is 560.
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document.write( "Question 3 answers
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document.write( " 8 in.
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document.write( " 10 in.
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document.write( " 70 in.
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document.write( " 7 in.
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document.write( "2) Solve the problem.\r
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document.write( "A square lawn has an area of 1568 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle?
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document.write( "Question 4 answers
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document.write( " 39.6 feet
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document.write( " 28 feet
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document.write( " 56 feet
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document.write( " 19.8 feet
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document.write( "3) Answer the question.\r
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document.write( "If a rectangle is x feet long and y feet wide, which one of the following expressions is the length of its diagonal in terms of x and y?
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document.write( "Question 5 answers
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document.write( " x2 + y2
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document.write( " x + y
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document.write( " square root x+y
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document.write( " square root x^2 + y^2
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document.write( "4) Solve the problem.\r
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document.write( "The area of a square is numerically 117 more than the perimeter. Find the length of the side.
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document.write( "Question 6 answers
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document.write( " 85 units
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document.write( " 52 units
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document.write( " 13 units
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document.write( " 338 units\r
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Algebra.Com's Answer #63130 by checkley75(3666) ![]() You can put this solution on YOUR website! 1) HEIGHT=8 INCHES, LENGTH=W+3 INCHES, WIDTH=W. \n" ); document.write( "VOLUME =L*W*H \n" ); document.write( "560=(W+3)*W*8 \n" ); document.write( "560=(W^2+3W)*8 \n" ); document.write( "560/8=W^2+3W \n" ); document.write( "70=W^2+3W \n" ); document.write( "W^2+3W-70=0 \n" ); document.write( "(W+10)(W-7)=0 \n" ); document.write( "W+10=0 \n" ); document.write( "W=-10 NOT AN ANSWER. \n" ); document.write( "W-7=0 \n" ); document.write( "W=7 ANSWER. \n" ); document.write( "PROOF \n" ); document.write( "560=(7+3)*7*8 \n" ); document.write( "560=10*7*8 \n" ); document.write( "560=560 \n" ); document.write( "--------------------------------------------------- \n" ); document.write( "2) 1568=S^2 \n" ); document.write( "S=SQRT1568 \n" ); document.write( "S=39.597979 IS THE LENGTH OF THE SIDES. \n" ); document.write( "THUS THE RADIUS IS S/2 \n" ); document.write( "39.597979/2=19.798989 FEET. \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "3) SQRT(X^2+Y^2) \n" ); document.write( "------------------------------------------------- \n" ); document.write( "4)AREA=S^2 & PERIMETER=4S. THUS: \n" ); document.write( "S^2=4S+117 \n" ); document.write( "S^2-4S-117=0 \n" ); document.write( "(S-13)(S+9)=0 \n" ); document.write( "S-13=0 \n" ); document.write( "S=13 ANSWER. \n" ); document.write( "PROOF \n" ); document.write( "13^2=4*13+117 \n" ); document.write( "169=52+117 \n" ); document.write( "169=169 \n" ); document.write( " \n" ); document.write( " |