Answer:
Step-by-step explanation:
Distance of (-3,4) to origin = √((-3)^2+4^2) = 5
sinθ = 4/5
cosθ = -3/5
tanθ = 4/(-3) = -4/3
cscθ = 1/sinθ = 5/4
secθ = 1/cosθ = -5/3
cotθ = 1/tanθ = -3/4
Answer:
66°
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
x + y = z
5n − 19 + n + 7 = 144 − 6n
6n − 12 = 144 − 6n
12n = 156
n = 13
m∠z = (144−6n)°
m∠z = (144−6×13)°
m∠z = 66°
Answer:
The population changed by 20% in 3 years
Step-by-step explanation:
The percentage change, is given by the following equation;
The given parameters are;
The initial population of the town = 35,000
The final population of the town = 42,000
The percentage change in the population is therefore;
The population changed (increase) by 20% in 3 years.
8x - 19 = 36
8x = 55
x = 55/8 = 6 7/8
-2x + 19 = -66
-2x = -85
2x = 85
x = 42 1/2