Math Forum / Mathematics / Recreational Math / December 2004

Hello again,
I posted a while back about irrational numbers.  Thanks for everyone's
enlightening replies.  It was fun and informative to read.  I've been
thinking some more about these and now I have another question.

Dear experts,
I met a problem, and I don't have experience to solve it. Thus, please give
me a help.
My question is:

Find the area of the largest triangle such that one side measures
x^2 + k*x and where the product of x and the perimeter equals its area
- using integer values only.  

How do I make this without lifting my pencil or going over any
line?...
    Picture This: A square with 1 curve on each side with an X in the
middle!

Join two dominoes to form an L.
Can a 6x6 square be covered with these?
They may be rotated and mirrored in any way.
Give a covering or prove it impossible.

What is "interval arithmetic" about?
It was not listed at http://thesaurus.maths.org/mmkb/search.html
Alex

A quick review of the rules of craps: There are two players, Roller and
Fader. The Roller rolls a pair of dice one or more times until we have a win
for either Roller or Fader. Roller wins immediately if the first roll is 7
or 11 ("a natural"). Fader wins immediately if the first ...

I found this problem in a book that I found on Amazon, using Amazons (search
inside book)
feature, but I can't find the answer, and I'm having a problem solving it.
The book is Schuam's

Most of you know that if N people agree to meet between say, 3:00 P.M. and
4:00 P.M., and each agree to wait
d amount of time with (0<=d<=1) and d*60 minutes is how long they are
willing to wait, then the probability

--
DDEckerslyke writes in thread
http://tinyurl.com/5aocb

Excuse me for barging in. Normally I wouldn't post to a group without
lurking in the background for sveral days, but this is an emergency.
Can you please point me to a website that has a downloadable/
printable table of trigonometric ratios, as in the classic tabular form

In the following
C=Euler's constant,i.e. C:=lim_{n-->infty}(1+1/2+1/3+...+1/n - ln(n))
e=Napier's constant  , pi= Arhimedes constant.
(Without using a PC), prove or disprove that  pi^2 < 8*e^C .

Familiar Puzzle
You have a chess board with two diagonally opposite corners removed. You
have 31 dominoes. Can you place the 31 dominoes on the chess board?
Familiar Solution.

I posted this to sci.math earlier, but after watching that group for
a while, I see it may have been inadvertantly off topic.  Maybe it's
more on topic here.  I hope so.
I'd like to hear thoughts on 2 topics.

Fabricate an answer to this Merry Christmas puzzle
From the star at the top how many paths are there without doubling
back to the dollar sign. If you find the answer in the first few days
just please post Merry Christmas. I should have used some other symbol