CPhill

By the Law of Cosines, we have

15^2  = 10^2 + 12^2 - 2(10)(12) cos(x)

And solving this for x, we have

cos^-1 [ ( 225 - 100 - 144) / -240 ] = x = about 85.46”.......and the angle opposite this one will be the same

The other two opposite angles will measure (180 - 85.46)° = about 94.54°  each

Using the cosine inverse, we have

cos-1(.-.06)  = theta = about 126.87°.....however......this could also be a 3rd quadrant angle =

180 + (180 - 126.87)  = about 233.13°

And substituting 180 for "pi,"  we have

And cos(pi + theta)  = cos(180 + theta) = -cos(theta)  = -cos(126.87)  = 0.6     ....and....

cos(180 +233.13) =  -cos(233.13)  = 0.6

Distance / Rate = Time

[215 /  88.5]  - [ 215/104.6]   =  about 0.37 hrs = about 22.4 min

Just subtract 32 from both sides.....but.....a better question that you might ask yourself......."What do I need to add to 32 to get 42???"

It's already a function.....!!!!!

Each ounce costs   3.00 / 16  = 18.75 cents

So,  each person eats 3 ounces and we have.....3(18.75) = 56.25 cents

(1/6) (140 - 80)  =

(1/6) (60)  =

60 / 6   =

10

I can't say for sure....but if you're  trying to evaluate something other than a base 10 or base e log in this form :  log_a b ,  you can use the change-of-base rule that says the result of this is just :

log(b) / log (a)

7^{4n + 1}  →  ending digit = 7

7^{4n + 2}  → ending digit = 9

7^{4n + 3} →  ending digit =  3

7⁴ⁿ⁺⁴ →   ending digit  = 1

For n  > 0

Could you post  a specific example that is giving you trouble???  This is rather a broad quesrion to provide a definite answer.