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Does anyone have any ideas on this one?Any hints are appreciated.
What is the ratio between the lengths of a rectangular pool table if a ball launched from one of the sides under an angle of 45° passes through the starting point after 6 reflections?(when I say reflection I mean that the ball hits the side of the table)
But, the semi-circles and the circles may be of different sizes also. The size is not specifies in the question.
I think the size doesn't matter as 3 will be needed as greg said.I don't know yet if the answer is the same for a sphere.
??? No, still don't get it. What's the difference between a circle and a disk? If two semicircles meet what does it matter if they're open?
Here's my solution.
http://i.imgur.com/sXx6Z60.gif
You cannot see the original circle (it is red) because it's covered.
Bob
The disk is the inside of the circle
@greg1313 how do I extemd this to a sphere?Will I need 3 hemispheres like here?
Hey.
The problem says nothing about their size,it only says that an open secircles is a semicircle without its ends.
a)How many open semicircles are needed to fully cover a circle?
b)How many open hemispheres are needed to fully cover a sphere?
It is the first time I've ever seen questions like this and I don't know how to approach them.Please help me!
Hi guys! I need some help with this exercise I am trying to do so as to be prepared for the math olympiad:
Be n>=2 a natural number.Prove that the equation
How did you get it thickhead?
Be the numbers
.If find the minimum of the sum .Yeah that's what I tried to do too.It seems that the equations have an infinity of solutions.I thought I was missing something
Just wondering,how did you find all those numbers above?
Oh my God that's a lot of numbers.Which are the relationships you are thinking at?
Well the only thing I did not include is that x,y and z are distinct from one another
Hey guys,here I am with another exercise I can't solve.
Find all the triplets of distinct real numbers (x,y,z) for which:
They are right,I checked them
Thank you for your help !
Okay,I am looking forward to seeing your ideas
My best try at proving that using that relation was that
Well I don't know.There are usually more .And I don't know how to prove there aren't.
Yes,I managed to guess it too but I don't know how to find all of them.
Hey! I've come across an exercise I can 't seem to solve.
Find all the n integers that satisfy :
Yeah,I managed to finish it from that point.Thank you all for your help!
Hey! I have some c++ knowledge maybe I can help you
So I should prove that
Ok so from that point I applied that theorem but what should I do next?