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How many triangles possible?
Right triange PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x- and y-coordinates of P, Q, and R are to be integers that satisfy the inequalities -4<=x<=5 and 6<=y<=16. How many different triangles with these properties could be constru...
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Fri Feb 27, 2009 5:26 am- Forum: Problem Solving
- Topic: How many triangles possible?
- Replies: 3
- Views: 3023
Re: Geometry problem
Draw a second equilateral triangle, with corners at the centres of the three circles. This has sides of length four. Draw smaller 30-60-90 triangles including the corners of the internal and external triangles. The perpendicular distance from the internal triangle to the external triangle is one ra...
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Tue Feb 24, 2009 4:56 am- Forum: Problem Solving
- Topic: Geometry problem
- Replies: 5
- Views: 2242
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Sun Feb 22, 2009 1:52 am- Forum: Problem Solving
- Topic: Geometry problem
- Replies: 5
- Views: 2242
Have no idea what the OA is, it is a task which i have problems to solve.
But i think the way you do, except that 285-294 will be rounded off to 290, not 286-294....
the same with gallons, 11.5-12.4 is 12 gallons rounded.
But that doesn't change the situation. No matter there is no such answer.
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Tue Feb 17, 2009 5:38 am- Forum: Problem Solving
- Topic: Miles and gallons problem
- Replies: 5
- Views: 1806
Miles and gallons problem
On a recent trip Cindy drove her car 290 miles, rounded to the nearest 10 miles and used 12 gallons of gasoline rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between: A) 290/12.5 and 290/11.4 B) 294/12 and 284/11.4 C) 284/12 and...
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Tue Feb 17, 2009 4:52 am- Forum: Problem Solving
- Topic: Miles and gallons problem
- Replies: 5
- Views: 1806
Gertrude and her grandmother's clocks
Gertrude and her grandmother have 2 clocks with 12 digits. the 1st clock loses 3 minutes every hour. It will show that 57 minutes have elapsed when in fact exactly one hour has gone by. The second clock gains 5 minutes every hour. It will show that 65 minutes have elapsed when in fact one hour has g...
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Thu Feb 05, 2009 12:15 pm- Forum: Problem Solving
- Topic: Gertrude and her grandmother's clocks
- Replies: 3
- Views: 1911