God is Always Near One thing can always cheer me, When I'm feeling sad and low; When I tire of daily trials, That I have to undergo; When those who should seem...
Three circles of radius 1 (each) are all externally tangent to one another. They are all INTERNALLY tangent to another circle. What is the radius of the...
... I get (2root3 + 3)/3 using similar triangles or 2.15470 in trig that could be 2.tan(pi/6) + 1, but only because it is the same numerical answer. Peter...
I get the same answer. You need to find the distance from the center of one of the three circles to the center of the space within the three circles. It is...
In a message dated 4/2/2006 6:43:51 PM Central Standard Time, ... A similar problem involves spheres: Four spheres of radius 1 (each) are all externally...
I'm curious how you can have 4 spheres all identical radii and externally tangent. Can you put an image in the files section for us? Thank you! ... From:...
Anyone? Thirty-six students took the ACT, with a mean score of 25.5. The boys had a mean score of 23.5, while the girls had a mean score of 28. How many girls...
Imagine the spheres as corners of a regular tetrahedron - Does this help? ... __________________________________________________ Do You Yahoo!? Tired of spam?...
Sure, I can picture it. AH... SPHERES. My bad. Sure, it's a triangular pyramid (tetrahedron). DOH! DW ... From: Edward Moore <emoore06905@...> Date:...
Let n be the number of girls, g the sum of girls scores and b the sum of boys scores. Then: g/n = 28, b/(36-n) = 23.5, (b+g)/36 = 25.5 Three equations in...
In a message dated 4/3/2006 3:39:38 PM Central Standard Time, ... Aren't those really, really low scores for an ACT? stevo [Non-text portions of this message...
In a message dated 4/3/2006 3:39:38 PM Central Standard Time, ... g = number of girls b = number of boys = 36-g Sg = sum of girls' scores Sb = sum of boys'...
Subject: Fw: Never again Think about this one ! ! ! ! ! On Wednesday of this week, at two minutes and three seconds after 1:00 in the morning, the time and...
... Boys average is 4 X 0.5 below group average, while girls average is 5 x 0.5 above the group average. Thus the ratio of boys to girls must be 4 : 5 since 4...
... What about all those individuals around in 3006? Or do you have some inside information about the second coming? Something similar should happen in June...
A contemplation on the latest fad - if SUDOKU has not hit your local newspaper yet move on to the next post! Once you have completed a SUDOKU successfully, you...
Ah, but it will happen again. Remember back in the 20th century (1900s) when all your math and history teachers told you that we had to use the actual 4 digit...
A fairly successful football league has partnered with a soda bottling company to sponsor a sweepstakes. There are 32 teams and each team is randomly named on...
... Difficult since all f caps could have been the same team! I first calculated the probability that the caps were 5 of one team or 4 of 1, one of the...
It is very difficult to learn the concepts of solid geometry on the board. Also it is difficult to explain the concepts. I need animations with derivations of...
This may very well be one of my last posts. Show and research that, given a sequence {a_i}_{i=0}^n and that the elements of this sequence form skew diagonals...
Show that and research that, if 2n points in n-D space are given and that lines are drawn to make a closed figure, that the geometrical centroids connected by...
In a message dated 4/10/2006 3:00:52 PM Central Standard Time, ... That is beautiful! I don't understand a word of it, but it's beautiful! stevo [Non-text...
In the first 8 games of a series between two teams, each team ends up winning 4. What's the probability that one team was more than one game ahead of the other...