geno3141

Take the decimal part of a degree and multiply is by 60 to turn that part into minutes.

Example 17.812°  =  17° + (.812 x 60)'    =  17° + 48.72'  =  17° 49'.

I'm stuck -- all I can get is sin⁴x

or sin²x(1 - cos²x)

... but that's it ...

To get red-red-blue-blue-blue-blue would be 15/60 x 14/59 x 45/58 x 44/57 x 43/56 x 42/55.

But this is not the only arrangement; there are actually 15 ways to end with two reds and four blues, so take the above answer times 15.

Not quite. x is any value that you can substitue for x while y represents the answers that you get.

Sometimes, the slope is called 'm', so, in this case, m = 2/3.

The y-intercept may be called either 'b' or 'k' (depending upon your textbook, so b = -4.

We can count them all; let's first consider only those created by moving to the right and up.

We could end at these points (10,0), (9,1), (8,2), ..., (2,8), (1,9), and (0,10). These are 9 points in the first quadrant and 2 points on the axes.

In each quadrant, we get 9 points (for a total of 36 points) plus 4 more points for the axes. Total = 40 points.

After you subtract 1 tile for the middle, the remaining 88 tiles will be split with 1/2 of them in one diagonal and the other 1/2 in the other diagonal. Thus, each diagonal has 45 tiles (with the one in the middle being in both diagonals).

If the diagonal has an odd number of tiles, the diagonal will have as many tiles as each side has. (Check this out with 3 x 3 and 5 x 5 squares to convince yourself.

Since each side has 45 tiles, the total number of tiles will be 45 x 45 = 2025 tiles.

Of these tiles, 89 are black, so 2025 - 89 = 1936 are white.

50 ÷ (3/7)  =  116.67

Answer:  116 glasses (plus a little extra in case you spill).

The original price minus 15% of that price is $12.00.

Let p represent the original price; then we get:  p - 0.15p  =  12.00

Simplify:                                                                       .85p  =  12.00

Divide by 0.85                                                                    p  =  $14.12

2x - 3y  =  12

Solve for y:  -3y  =  -2x + 12     --->     y  =  2/3 x - 4

The slope is the coefficient of the x-term (2/3) and the y-intercept is the constant (-4).

Press (2nd) then (atan) then enter the value ...