Complentary angles add to 90 degrees
a and b are complentary
a+b=90
a=7x+4
b=4x+9
so
7x+4+4x+9=90
combine like terms
11x+13=90
minus 13 both sides
11x=77
divide both sides by 11
x=7
m a =7x+4=7(7)+4=49+4=53
m b=4x+9=4(7)+9=28+9=37
angle a measures 53 degrees
angle b measures 37 degrees
Polar form: (r,θ)
Using these formulas:
x²+y²=r²
tan(θ)=y/x
We have the point (1,1) in cartesian coordinates. We need to find r and θ to get it in polar form.
r²=1²+1²
r²=2
r=±√2
tan(θ)=1/1
tan(θ)=1
θ=π/4 radians or 45 degrees
Polar coordinates: (√2,π/4)
Those answer choices look strange. Are you sure these are the right answer choices?
You didn't write the (-2/7) as a power; you were supposed to do b to the power of -2 over 7, which is what the other person done in your other post regarding this
Answer:
Step-by-step explanation:
The limit is:
so, you have an indeterminate result. By using the l'Hôpital's rule you have:
by replacing, and applying repeatedly you obtain:
hence, the limit of the function is -1/14
Answer:
41 students
Step-by-step explanation:
(16,600-1500)/367
