CPhill

One way is to use something known as the "Taylor Series." This basically generates a polynomial series that can give approximate answers to as much accuracy as required. Angles are evaluated in terms of rads. I suspect this is what is used in modern calculators.

The coin must travel a horizontal distance of 2.30 m in .510 secs. So, D/T = R and we have

2.30m / .510s = about 4.51 m/s

(Of course, this assumes the "depth" of the glass is negligible.)

Just divide 111 by 3000 and multiply the result by 100. That will give you the percent.

Alternatively, if something is 25% off of its original price, it just must be worth 75% of what it once was.

So, just multiply  .75 x $72.65    and you will have your answer.

The longest segment that can be drawn is a "diagonal" connecting two opposite "corners" at the top and bottom.

This is similar to finding the length of a diagonal of a rectangle using the Pytagoren Theorem. However, this distance is in 3-space and is given by:

d =√(15² + 8² + 7²) = √338 = √(169 * 2)  = 13√2 cm.

I like that one, too!!

This is not a function because it doesn't pass the vertical line test. Notice that if y = -1, then x = 1. And if y = 1, x =1.   So the points (1, -1) and (1, 1) are on the graph. But the same x value can't have two y values associated with it, since the vertical line x = 1 would go through both points.

18 factors as  3 x 6

36 factors as 6 x 6

42 factors as 7 x 6

And the greatest common number that divides all three is 6.

-1x -5 > 8      add 5 to both sides

-1x > 13        divide both sides by -1 and remember, when we multiply/divide an inequality by a negative, we have to reverse the inequality sign....so we have

x < -13

5 (12/4)-8+2   so we have

5(3) - 8 +2     perform the multiplication, first

15 - 8 + 2 =

7 + 2 =

9