Melody

$${\frac{{\mathtt{3}}}{{\mathtt{12}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{4}}}{{\mathtt{12}}}} = {\frac{{\mathtt{7}}}{{\mathtt{12}}}} = {\mathtt{0.583\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

Thanks forthe answer Chris,  I had my eye on that one but you beat me to it. haha

Yes, great picture Alan.   I am going to try to reproduce it, did you draw it in GeoGebra or in one of your other programs?

I just realised how i would do it.  I'd use the xy axes for the right angle and then it should be easy.

Does anyone now how to use GeoGebra well?  It is not very intuitive!  I think you are supposed to be able to turn your diagrams into LaTex code in there as well.

I am sure it is brilliant if you can ever learn how to use it properly!

I would have left your answer alone if you had left out the profanity.  Maybe you could think of a different word next time that I won't feel the need to disinfect!

Thanks for all the answer and thanks for the LaTex Rom     

You are the best LaTex writer on the forum and now we can all benefit from your knowledge.  

If we hover over the Latex, we are given the code.  This is brilliant.  Thank you Andre.

I have added some of you output to the @@LaTex sticky page.  

I'm all excited now!!!!

multiply your number by 1000

$$7\frac{5}{10}=7\frac{1}{2}$$

I am not sure what you mean by definition but if something is raised to a negative power than write it as a fraction, swap it to the other side of the fraction line and change the negative to a positive.

eg

$$6x^{-3}=\frac{6x^{-3}}{1}=\frac{6}{1\times x^{+3}}=\frac{6}{x^{3}}$$

Does that make sense? (Only the x was raised to a negative power so everthing else stayed in its original position.)

Look in the sticky notes; bottom right hand corner of this page.

The cosine ratio has to be between -1 and 1 inclusive so 

$$cos\theta$$   cannot equal $$\frac{171}{50}$$    therefore there are no solutions.

Look at the second sticky topic in the bottom right corner of this page.

If you have problems opening it let me know.