Answer:
131.41 degrees
Step-by-step explanation:
Given the equation
5(sinθ+3) = sinθ+12
5sinθ+15 = sinθ+12
5sinθ-sinθ = 12 - 15
4sinθ = -3
sinθ = -3/4
θ = arcsin(-0.75)
θ = -48.59 degrees
Since sin is negative in the 3rd quadrant
α = 180 + θ
α = 180 - 48.59
α = 131.41degrees
Hence the required angle is 131.41 degrees
The answer is in the attachment
Guatemalans would use milliliters because they use the metric system which is common throughout Latin America and which is basically easier to use than the Imperial system because it is all divisible by 10 whether it be millitres,litres,meters, kilometers etc.
16y^3 + 9x^2y - 54x = 0
16*3y* dy/dx + 9x^2* dy/dx + 18xy - 54 = 0
dy/dx = = (54 - 18xy) / (48y + 9x^2)
I have to go I can do the second part later
Answer: f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
Step-by-step explanation:
if -1 ≤x ≤ 1
We can see that in this range the function is constant, f(x) = 4
if 3≤ x ≤ 5
In this region we can see a linear relationship, with the points (3, 2) and (5, 4)
as the extremes, we can find the slope of this linear equation as:
s = (4 - 2)/(5 - 3) = 2/2 = 1
So our equation is
f(x) = 1*x + b
to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:
2 = 1*3 + b
b = 2- 3 = -1
then f(x) = 1*x - 1
Then we have:
f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
