Since they are equal to 90 degrees. (complimentary angles)
6x-11+7x+10= 90
Combine like terms.
13x-1= 90
Add one to both sides.
13x= 91
x= 7
Plug that into the b.
7(7)+10
49+10
59
I hope this helps!
~kaikers
The gross income multiplier (GIM) is the ratio of sale price to annual rental income. Here, you have ...
GIM = $350,000/(12*2*$1400) ≈ 10.4
Isolate one term (x or y) in one of the equations
6x+6y=0
6x=-6y
X= -1y
Substitute x=-y into the other equation
-7(-y) + 2y =18
7y + 2y =18
9y=18
Y=2
Substitute y=2 into 6x+6y=0
6x + 6(2) = 0
6x + 12=0
6x= -12
X = -2
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
