sin(x+y)=sin(x)cos(y)-cos(x)sin(y)
also, remember pythagorean rule, 
given that sin(Θ)=4/5 and cos(x)=-5/13
find sin(x) and cos(Θ)
sin(x)
cos(x)=-5/13
using pythagorean identity
(sin(x))^2+(-5/13)^2=1
sin(x)=+/- 12/13
in the 2nd quadrant, sin is positve so sin(x)=12/13
cos(Θ)
sin(Θ)=4/5
using pythagrean identity
(4/5)^2+(cos(Θ))^2=1
cos(Θ)=+/-3/5
in 1st quadrant, cos is positive
cos(Θ)=3/5
so sin(Θ+x)=sin(Θ)cos(x)+cos(Θ)sin(x)
sin(Θ+x)=(4/5)(-5/13)+(3/5)(12/13)
sin(Θ+x)=16/65
answer is 1st option
Answer:
Ummm wasn't me but thank you for the points hope you have a great holiday and new year!
Step-by-step explanation:
I-F=100(86-65)/65 - 100(80-70)/70 = 18%
Iliana's increase was 18% more than Fiona's increase.
Answer:
Step-by-step explanation:
It would be 54 because 12*4.5 = 54.
Assuming you meant 2/3
y=2/3x+1 and (-5,-2)
paralell means same slope
y=mx+b
m=slope
y=2/3x+1
sllope=2/3
point slope
y-y1=m(x-x1)
for slope=m
a point is (x1,y1)
slope=2/3
point=(-5,-2)
y-(-2)=2/3(x-(-5))
y+2=2/3(x+5)
or
y=2/3x+16/3