document.write( "Question 64984This question is from textbook Glencoe Algebra 1
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document.write( ": Julio Mendez is a carpenter. He is building a staircase between the first and second floors of a house, a height of 9 feet. The tread, or depth of each step, must be 10 inches. The slope of the staircase cannot exceed 3/4.\r
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document.write( "What is the measure of the riser, or height of each step?\r
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document.write( "Thanks sooo much! \n" );
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Algebra.Com's Answer #45535 by 303795(602)![]() ![]() ![]() You can put this solution on YOUR website! For a slope of 3/4 the stair can rise 3 units for every 4 units of width. \n" ); document.write( "In the case of a 10 inch wide stair then it can only rise a maximum of 7.5 inches to the next step.\r \n" ); document.write( "\n" ); document.write( "If you have 9 feet to go up then that is 9 x 12 = 108 inches. \n" ); document.write( "Dividing 108 by 7.5 gives 14.4. \n" ); document.write( "A greater number of steps will reduce the rise so use 15 steps. \n" ); document.write( "108/15 = 7.2 so use a rise of 7.2 inches.\r \n" ); document.write( "\n" ); document.write( "Note that 7.5 is the maximum rise so any whole number of steps greater than 14.4 could be used and still meet the conditions. \n" ); document.write( " |