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I think there are 10 different combinations that will satisfy Bill's order requirements.

Let's say the different kinds of donuts are  A, B, C,  and  D.

We know that Bill is always going to order A, B, C,  and  D, so that just leaves  2  unused orders ( 6 - 4 = 2 ).

To finish his orders, Bill can choose one of the following possibilities:

AA

AB

AC

AD

BB

BC

BD

CC

CD

DD

There are 10 different ways he can finish his orders, so that means there are 10 different combinations that will satisfy Bill's order requirements.

There are 2 values of  x  within  0° ≤ x ≤ 360°  that satisfy  sin x  =  -0.73

They are:

x  ≈  226.886°

x  ≈  313.114°

Oh oops thanks for catching that you can't do that.

The tip of the hour hand travels the circumference of its circle once every 12 hours.

24 hours / 12 hours  =  2     So the hour hand travels its circumference 2 times per day.

The tip of the minute hand travels the circumference of its circle once every 1 hour.

24 hours / 1 hour  =  24     So the minute hand travels its circumference 24 times per day.

circumference of hour hand circle  =  2π( 5 cm )  =  10π cm

circumference of minute hand circle  =  2π( 10 cm )  =  20π cm

distance traveled by tip of hour hand  =  2 * 10π cm  =  20π cm

distance traveled by tip of minute hand  =  24 * 20π cm  =  480π cm

20π cm + 480π cm   =   500π cm   =   5π  meters   ≈   15.708 meters

990° / 180°  =  5.5

So there are only  5  values of  x  within  0° ≤ x < 990°  that satisfy  sin x  =  -0.31

They are:

x  ≈  198.059°

x  ≈  341.941°

x  ≈  558.059°

x  ≈  701.941°

x  ≈  918.059°

\(\sum\limits_{i=3}^5i^{(i+2)}\ =\ 3^{(3+2)}+4^{(4+2)}+5^{(5+2)}\\~\\ \phantom{\sum\limits_{i=3}^5i^{(i+2)}}\ =\ 3^5+4^6+5^7\\~\\ \phantom{\sum\limits_{i=3}^5i^{(i+2)}}\ =\ 243+4096+78125\\~\\ \phantom{\sum\limits_{i=3}^5i^{(i+2)}}\ =\ 82464\)_

990 : 18 = 55

Its not hard to know! 

I do to.... 

That's right.

Humm...

All modern OS software and browsers support Java Script.  This is a JS function, so what certain operating systems would NOT be compatible? 

Thanks for the reply! I think so, I just don't quite understand how you 'split'

factor * (-3x) = -12x  and  2 + shift = 10

EDIT: Nvm lol, I think I figured out why. Correct me if I'm wrong, but is it since factor * -3x = 10 wouldn't make much sense?