1. In convex hexagon ABCDEF, all six sides are congruent, A and D are right angles, B and C and E and F are congruent. The area of the hexagonal region is 2116((square root of 2) + 1) Find AB.
2. Find the number of ordered pairs of positive integers (a,b) such that a + b = 1000 and neither a nor b has a zero digit.
3. When rolling a certain unfair six-sided die with faces numbered 1, 2, 3, 4, 5, and 6, the probability of obtaining face F is greater than 1/6, the probability of obtaining the face opposite is less than 1/6, the probability of obtaining any one of the other four faces is 1/6, and the sum of the numbers on opposite faces is 7. When two such dice are rolled, the probability of obtaining a sum of 7 is 47/288 . Given that the probability of obtaining face F is m/n where m and n are relatively prime positive integers, find m+n
These are not my homework. they are problems from hmmt, if you can solve these, you should be proud of yourself.
2007-11-20
12:13:56
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6 answers
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asked by
Air Jersey
2