Melody

How many different triples (a,b,c) from the set {1,2,3,4,5} satisfy the equation a^2 + bc = b^2 + bc

a^2 + bc = b^2 + bc

a^2  = b^2 

since there are no negative choices, a=b   c can be any number

If numbers cannot be reused then there are no solutions

if numbers can be reused then there are 5*5=25 triplets

\(SA=4\pi r^2\\ \pi\approx 3\quad r=2\\ SA\approx 4*3* 2^2\\\)

You can finish it.

\(sin\;3\theta = cos\; 17\theta\\ sin\;3\theta = sin\; (90-17\theta)\\ \)

you can take it from there.

Find 4y

2x+4y=180 (1) and   

x+2y=4y     (2)and

3x+2y=180  (3)

rearrange 1  

4y=180-2x

2y=90-x

rearrange2

x=2y

sub

2y=90-2y

4y=90 degrees

11! + 12! + 13!

=11!(1+12+12*13)

=11!*169

=11! * 13 *13

so yes the largest prime is 13

1*2*3*2*3 = 36 posibilities.

But if he gets it right on the first try then he doesn't need to try any more.  

I checked with a quick sketch and it is reasonably clear that that is correct.

0.0909090909 ...

100*0.0909090909 ... = 9.09090909 ...

1 *0.0909090909 ...    = 0.0909090909 ...

subract

99*0.0909090909 ...=9

0.0909090909 ...=9/99 = 1/11

yes that is right.

So

\(\frac{16}{LN}=\frac{2}{3}\)

I expect this diagram comes with more information.

From what I have read:

This is a skin disease that can be inherited from either parent.

If it comes from both parents it will be more severe.