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#337644 Circles to make a pentagon
Posted by BMAD on 01 March 2014  04:15 PM
#337634 Circles to make a pentagon
Posted by BMAD on 28 February 2014  04:34 PM
tslf, you have me worried. For I have done it much the same way. Let me reexamine my own solution as well.
 1
#337586 scheme
Posted by BMAD on 27 February 2014  03:14 PM
 0
#337544 Complex numbers
Posted by BMAD on 26 February 2014  05:26 PM
 1
#337502 Spin the bottle
Posted by BMAD on 25 February 2014  05:55 PM
6 friends are sitting in a circle whom you have been observing playing the game called 'spin the bottle'. They invite you to play as well. Being a good sport, you agree to play. You happen to notice however that it is HIlga's turn and you would rather not kiss Hilga. You have also noticed that the bottle when spun with the left hand has a tendency to stop on a person an even distance away (e.g. the second, fourth, sixth person from her) and when spun with the right hand will land on a multiple of 3 distance away from HIlga. Currently the bottle is pointing directly across from Hilga but if it were to land on herself she would immediately spin it again from that position, switching hands in the process. You have no idea which hand she will use first nor do you know which way rotation she will place on the bottle [clockwise or counterclockwise].
Where should you sit?
 1
#337241 area and perimeter
Posted by BMAD on 24 January 2014  07:12 AM
Martindale also fenced in a rectangular plot of land in a similar way (including the diagonal fence) but his rectangle was onethird greater in area than Carter's plot and used less fencing.
In both plots all the the dimensions (lengths, widths and diagonals) were a whole number of metres.
How much more fencing did Carter use than Martindale?
 0
#337016 For the holidays
Posted by BMAD on 16 December 2013  04:12 PM
#337014 Area of a crescent
Posted by BMAD on 16 December 2013  03:23 PM
#336988 Couple Candy Shopping
Posted by BMAD on 13 December 2013  12:39 AM
 Three couples bought candy at a candy store. Each person paid as many cents per candy as pieces of candy he or she bought, and everyone bought a different number of pieces (no one was empty handed.) When they compared their bills, they found that the difference between the amounts paid by each husband and wife was the same. What is the smallest number of candies purchased? Show the amounts for the difference and for each person/couple.
 What if there were two couples?
 Four couples?
 Five couples?
 Can a method be extended for M couples?
 If the difference between each husband's and wife's amount is less than 500 cents, what was the largest number of couples possible in the store?
 1
#336888 Infinite Flips
Posted by BMAD on 04 December 2013  02:24 AM
Given a coin with probability p of landing on heads after a flip, what is the probability that the number of heads will ever equal the number of tails assuming an infinite number of flips?
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#336859 perfect powers
Posted by BMAD on 02 December 2013  02:36 AM
@PerhapsCheckITAgain
I see no requirement that the numbers be square numbers just that i square three numbers
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#336840 perfect powers
Posted by BMAD on 29 November 2013  06:48 PM
0^{2 + }0^{2 }+ 0^{2} = (sqrt(1)^{2} + (1^{2}) + 0^{2} = 2^{2}+2^{2}+(sqrt(8))^{2}=0
 1
#336838 perfect powers
Posted by BMAD on 29 November 2013  06:45 PM
125 = 0^{2} + (sqrt(25))^{2} + (sqrt(100)^{2 } = (sqrt(9))^{2} + (sqrt(16))^{2} + (sqrt(100))^{2} = (sqrt(25))^{2} + (sqrt(36)^{2} + (sqrt(64))^{2}
^{so simply put any answer that can define a number using three squares has an equally negative solution. So whatever the biggest number we can make using three squares in three different ways naturally leads us to the smallest square number in three different ways.}
^{}
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#336593 algebraic continuity theorem
Posted by BMAD on 12 November 2013  11:30 PM
Want to show that f(x)/g(x) is continuous as x goes to c given that g© is not 0.
f(x)/g(x)  f©/g© = 1/(g(x)g©)f(x)g©f©g(x) = 1/(g(x)g©)f(x)g©f©g(x)f(x)g(x) + f(x)g(x) <= 1/(g(x)g©)f(x)g(x)g© + g(x)f(x) f©
Then I draw a Blank.
 1
#336565 How many taxis are there?
Posted by BMAD on 10 November 2013  05:58 PM
I arrive at a small town. Leaving the airport i see five taxis out front. The city sponsors the taxis. Each taxicab has a unique number on it. The largest number on the taxicab was 90. How many taxis are there in the city?
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