Notice the following.....
Year Height
1 1
2 2
3 4
4 8
5 16
6 32
This angle lies in the 3rd quadrant ... and if the tangent is 4 in the 3rd quadrant, y = 4 and x =1
So, r = √(4^2 + 1^2) = √17
So sin(theta) = y/r = 4 / √17 = (4√17) / 17
And cos(theta) = x/r = 1 / √17 = √17 / 17
√150 =
√(25 * 6) =
√25 *√6 =
5√6
This would be the same angles where the sinx = 1/2
And these occur when x= pi/6 and x = 5pi/6
If 6 houses have 4 dogs......wouldn't 12 houses have twice as many ???
15% of x is 45 what is 20% of x
So
.15x = 45 divide by .15 on both sides
x = 45/.15 = 300
And 20% of 300 = .20 x 300 = 60
2(x + 1) = 2x + 2
tan(arcsec1)
arcsec(1) = 0
tan(0) = 0
The mark-up on the cost is given by
[ Sales Price - Cost ] / Cost =
[ 105 - 60 ] / 60 =
45 / 60 =
.75 = 75% markup on the cost
So, the sales price is 175% of the cost
(x^5/x^6)^4
(x^-1)^4 =
x^-4
