Math Is Fun Forum

Welcome :] Hope you'll enjoy your stay..!

Then you should post in the "Help Me!" forum And remember to describe your problem in such a way, that we'll be able to help you properly.

52.

since

55.

you just add the two numbers before the one you want.. A classic example of series

I totally agree! I was actually going to post this suggestion myself..

How realistic is this though?(I'm asking because I have no idea myself).. Wouldn't there be quite a big chance of different kind of collision?

It seems to me that you can't do matrices with whatever we're runnig here.. At all.. Some documentation/readme would be useful though..

True ricky.. Would you guys agree, if I said the best solution is a mix of solutions? As in different solutions, based on the local enviorment(be it rivers, mountains, many 'sunhours' per day, wind, etc, etc)..

I'm not surprised...

#39
x is 342.
Can someone please help me out here btw. I have a hard time expressing what really going on in a particular sequence. I know what's happening, it's just putting it into words in a correct manner.

#40
First off, let's get the area of 1 side:

Now, let's get the length of the sides:

Therefore, the answer is:

#49
Let's start with the area of the path just next to the sides with lengths of

and

:

This leaves the area of the corners. If I understand the puzzle correctly, the width of the path is measured from the edge of the lawn, to the outer edge of the path. Therefore, these 'edges' must be evenly curved, forming a

of a circle with a radius of 2. And since there are 4 of these corners, the total area of the corners is:

Adding these two areas, gives us the total area of the path.
Let A be the area of the path:

#51
The number of different outcomes of a throw is:

which can also be written as (t: tales, h: heads)
t - t - t
t - t - h
t - h - h
t - h - t

h - h - h
h - h - t
h - t - t
h - t - h
(obviously I wouldn't do this normally, just showing it to the ones who might not be familiar with this)

This gives us 2 out of 8 posibilities where all the coins have the same face up, and they are ofc t - t - t, and h - h - h.
So the answer is

depending on how you want the answer :)

edit: There's actually a reason for why I'm not just writing the answer. I'm showing what I'm actually doing, which might help me explain things to other people(practice makes perfect), and at the same time, people can understand how to solve the problem, if they couldn't do it themselves.(My teacher would hate me for that sentence :P grammer is prolly messed up, and it's a bit long^^)

haha, it's great