Melody

This is probably the easiest question you have ever asked.

But why would I answer it?

Thanks Alan, it always looks easy when someone else shows you how :)

It was sort of like that other circle one that you solved the other day. :) 

I suppose I mainly wanted to graph it but I know my graph is not quite right anyway.  I saw my error tonight.

Maybe I will fix it ...

x+9>3x

9>2x

x<4.5

x+9>x+4  always true

3x+x+4>x+9

3x>5

x>1.6

so

1.6

m=1.6

n=4.5

You can finish it.

Thanks Rom,

I do not know how to do that but I did end up making the diagram.

I only know how to use Desmos and GeoGebra   

One trouble is, I actually do not understand what the question is asking. 

Are a,b and c the side lengths of the triangle ?

Anyway, here are my graphs of the two most extreme r values.    that is r=1 and r=0.8

radius = 1

radius 0.8

This was a good post to make Coolstuff.   

I also wish everyone a very happy and productive 2019   !

Just find all the 2 digit factors. Factors are umbers that when divide into 144 and have a whole number answer.

Then add them up.

You can do this yourself.

Does anyone have any  input for this one?

I have spent a lot of time looking.

If anyone else wants to step in, even with just thoughts, that would be good :)

Also

Does anyone know how to graph a cirlce (B) centred on the circumference of another cirlce (A) and moving on that arc?

(Like a planet going around the sun)

No you might be right.

I found the prob that they are not all of the same suite (not colour) 

CPhill is doing it now anyway.

Three cards are chosen at random from a standard 52-card deck. What is the probability that they are not all the same suite  (NOT COLOUR)?

Please note that i have answered the wrong question.  

Prob that they are all the same suite  is   \(\frac{52}{52}*\frac{\not{12}^4}{\not{51}^{17}} *\frac{11}{50} =\frac{44}{850}=\frac{22}{425}\\ \)

Prob that they are not all the same suite = \(1-\frac{22}{425}=\frac{403}{425}\approx94.8%\)