document.write( "Question 1006526: Remember to include a LET statement to define your variable and a concluding statement.\r
\n" ); document.write( "\n" ); document.write( "The sum of an integer and five times its square is 174. Find the integer. (5 marks)\r
\n" ); document.write( "\n" ); document.write( "A right triangle has a height 8 cm more than twice the length of the base. If the area of the triangle is 96 cm2, what are the dimensions of the triangle. (6 marks)\r
\n" ); document.write( "\n" ); document.write( "A baseball is hit from a height of 0.8 m. After \"t\" seconds, its height \"h\", in metres, is given by the equation h=−5t2+20t+0.8. How long does the ball stay at least 15 m above the ground? (5 marks)\r
\n" ); document.write( "\n" ); document.write( "An art dealer advises that, for the best display of a painting, the area of the frame should be (15) the area of the painting. Determine the best width of the frame for a painting 20-cm by 20-cm, if the width is to be the same on all sides. Round your answer to the nearest tenth. (6 marks)\r
\n" ); document.write( "\n" ); document.write( "A rectangular flower bed is to be created so that the length is 3 m more than the width. If the length of the diagonal of the flower bed is 15 m, determine the length and the width. (5 marks) \n" ); document.write( "

Algebra.Com's Answer #622690 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Problem 1\r\n" );
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document.write( "Let n be an unknown integer.\r\n" );
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document.write( "Then you have an equation \r\n" );
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document.write( " = , or\r\n" );
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document.write( " = .\r\n" );
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document.write( "Solve it using the quadratic formula\r\n" );
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document.write( " =  = .\r\n" );
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document.write( "The appropriate root is -6 (integer).\r\n" );
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document.write( "Problem 2\r\n" );
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document.write( "\"A right triangle has a height 8 cm more than twice the length of the base. \r\n" );
document.write( "If the area of the triangle is 96 cm2, what are the dimensions of the triangle\".\r\n" );
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document.write( "I don't like this formulation very much.\r\n" );
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document.write( "When someone talks about a height of a right-angled triangle, he/she means the height drawn to the hypotenuse. \r\n" );
document.write( "When a right-angled triangle is considered, it is a BAD style to call the hypotenuse as \"the base\".  \r\n" );
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document.write( "From the other side, in a right triangle the height drawn to the hypotenuse CAN NOT be longer than half of the hypotenuse.\r\n" );
document.write( "  (Remember, a right-angled triangle is inscribed into the circle, and the right angle is leaning on the diameter!)\r\n" );
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document.write( "Taking this into account, the condition seems very suspicious to me from the point of view whether terminology is using correctly.\r\n" );
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