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An acre divided into lots |
2011-02-18 |
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From charlie: If you have a square acre an divide it up in 2 foot by 3 foot lots how many lots would there be Answered by Stephen La Rocque and Penny Nom. |
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Making a truncated cone |
2011-02-18 |
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From lisa: We need to make a cone that has the following dimensions.
14-3/8" diameter on large end
13-3/8" diameter on small end
4" tall
What are the dimensions I need to cut in order to make a cone with one seam? Answered by Stephen La Rocque. |
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Tom has 12 times as much money as Bill |
2011-02-18 |
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From Chris: Tom has 12 times as much money than Bill. Together they have $325 dollars. How much does each boy have? Answered by Stephen La Rocque. |
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An imaginary infinite geometric tree |
2011-02-18 |
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From Elise: An imaginary infinite geometric tree grows 1m the first day.
2nd day 2 branches and right angles to each other and each 0.5 m long.
3rd day two new branches at ends of each of previous days' 2 branches, again at right angles, and only .25m long each.
And so on, infinitely.
Q: Use relationships of right-angled triangles and high school level knowledge of geometric series to show
the tree height is limited to (4 + sqrt2)/3 m and width to (2(sqrt2 + 1))/3 m. Answered by Robert Dawson. |
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La conjecture de Goldbach |
2011-02-18 |
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From ahmedbenmoussa: montrez que tout nombre entier paire supérieur à 4 s'écrit somme de deux nombres premiers Answered by Claude Tardif. |
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Two conical tanks |
2011-02-17 |
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From rustom: Two vertical conical tanks (both inverted) have their vertices connected by a short horizontal pipe.
One tank, initially full of water, has an altitude of 6 ft. and a diameter of base 7 ft.
The other tank, initially empty, has an altitude of 9 ft., and a diameter of base 8 ft.
If the water is allowed to flow through the connecting pipe, find the level to which
the water will ultimately rise in the empty tank (Neglect the water in the pipe.) Answered by Penny Nom. |
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The diagonals of a parallelogram |
2011-02-17 |
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From ginger: Find the diagonals of parallelogram where the the side is 40 and the bottom side is 15. Answered by Penny Nom. |
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Points on a graph |
2011-02-15 |
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From Maggie: Which set of ordered pairs can be used to graph y = -2x-1.
A.(-5,9),(1,-3),(4,9) B. (-2,-5),(1,-1),(5,9)
C.(-2,-5),(0,-1),(4,-3) D. (-5,9),(-2,3),(4,-9)
I cannot figure it out. Could you help me? Answered by Penny Nom. |
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Prove sin x = sin (pi - x) |
2011-02-15 |
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From Janet: Prove sin x = sin (pi - x) Answered by Penny Nom. |
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(1-1/2)(2-2/3)(3-3/4)...(15-15/16)=n!/16 |
2011-02-15 |
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From Fiona: Could you help me find the value of n: (1-1/2)(2-2/3)(3-3/4)...(15-15/16)=n!/16 Answered by Penny Nom. |
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What is the 6001st digit that Sam wrote? |
2011-02-15 |
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From Sarah: Sam wrote the natural numbers from 1 to 5280 in order. What is the 6001st digit that Sam wrote? Answered by Penny Nom. |
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Factoring with fractions |
2011-02-15 |
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From Megan: Hi there,
I'm working on factoring polynomials but this question has me quite puzzled.. im a college student in my first year.
(x^2-a^2/xy)(xy/x+a) Answered by Penny Nom. |
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The equation of a circle |
2011-02-14 |
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From Cristela: find the equation and all the information in General Form and Standard Form of the Circle that will passed trough the point (2,3) (6,1) (4,-3) Answered by Stephen La Rocque. |
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1/0 and 2/0 |
2011-02-11 |
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From Dixit: How are the infinite number obtained by dividing 1 / 0 and 2 / 0 are different? Answered by Penny Nom. |
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The equation of a sphere |
2011-02-09 |
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From kelly: what is the equation of a sphere if one of it's diameters has a giving end point of (4,4,4), (8,8,8)? Answered by Penny Nom. |
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