SOLUTION: A door is 4 1/4ft wide. Two hooks are to be attached to the door so
that they are 1 1/2in. apart and the same distance from each edge. How far from the
edge of the door should ea
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Question 213771This question is from textbook
: A door is 4 1/4ft wide. Two hooks are to be attached to the door so
that they are 1 1/2in. apart and the same distance from each edge. How far from the
edge of the door should each hook be located? Give your answer in feet.
This question is from textbook
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
A door is 4 1/4ft wide. Two hooks are to be attached to the door so
that they are 1 1/2in. apart and the same distance from each edge. How far from the edge of the door should each hook be located? Give your answer in feet.
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the two hooks are 1.5 inches apart.
the space you want to center is the 1.5 inches space between them.
your door is 4 and 1/4 feet wide.
this equals 12 * 4.25 = 51 inches wide.
just to verify this as true:
4 feet = 48 inches
1/4 foot = 3 inches (4 * 3 = 12)
add 48 and 3 and you get 51 inches.
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subtract 1.5 inches from 51 inches to get 49.5 inches.
divide 49.5 inches by 2 to get 24.75 inches.
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you measure from one end of the door in 24.75 inches.
you measure from the other end of the door in 24.75 inches.
you will have a gap in the middle of 1.5 inches.
add all 3 together and you get 51 inches which is what you should get.
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now, when you place the hooks on the door, you line up the inner end of the hooks to the 24.75 inch marks on the door.
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your gap will be 1.5 inches.
doesn't matter how wide each hook is because you will use up the same width on each side of the 1.5 inch gap in the middle.
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your hooks are centered.
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a picture of this can be found at:
http://theo.x10hosting.com/
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click on problem number 23771. if it's not there when you look, wait 30 minutes and try again. it will be there.
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