Answer:
f^-1(x) = (x+20) / 12
Step-by-step explanation:
f(x) = 4(3x-5)
Let y be the image of f.
y = 4(3x-5)
y = 12x-20
y+20 = 12x
x = (y+20) / 12
f^-1(y) = (y+20) / 12, so
f^-1(x) = (x+20) / 12
Since the other angle that right next to it, the same angle you equal both angles together.
4x = 68.
We want to get x by its self. There is a 4 with the x and they're multiplying. to get rid of 4 we need to the opposite of multiplying which is division on both sides of the equation.
4x = 68
/4 /4
4 divided by 4 is 1 and 68 divided by 4 is 17
x = 17 is the answer.
If you plug in x = 17 into 4x, it will be 68
Answer:
what the question
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Answer:
area of the sector = 360π cm²
Step-by-step explanation:
To calculate the area of the sector, we will follow the steps below;
First write down the formula for calculating the area of a sector.
If angle Ф is measured in degree, then
area of sector = Ф/360 × πr²
but if angle Ф is measured in radians, then
area of sector = 1/2 × r² × Ф
In this case the angle is measured in radiance, hence we will use the second formula
From the question given, radius = 15 cm and angle Ф = 8π/5
area of sector = 1/2 × r² × Ф
=1/2 × 15² × 8π/5
=1/2 ×225 × 8π/5
=360π cm²
area of the sector = 360π cm²