Answer:
A = 27π cm²
Step-by-step explanation:
Area of the shaded region = area of full circle of O - Area of the unshaded sector
= (πr²) - (θ/360*πr²)
Where,
r = 6 cm
θ = 360
Area of shaded region = (π*6²) - (90/360*π*6²)
= (36π) - (¼*π*36)
= 36π - 9π
Area of shaded region = 27π cm²
Answer:

Step-by-step explanation:
The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.
The formula is:

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).
Therefore,

Substitute the values into the formula.

Solve the numerators first.

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.

Answer:
Step-by-step explanation:
d = r * t Divide both sides by t
r = d / t
d = distance = 2.25 km
t = time = 3 3/4 minutes = 3.75 minutes
r = 2.25 / 3.75
r = 0.6 km / minute
r = 3/5 km / minute
If the units are different than those given, please state them underneath my answer. I'll get to it as soon as I see your comment.
Answer:

Step-by-step explanation:
Given




Required
Find x
The area is calculated as thus:

Substitute values




Multiply through by 2


Remove absolute sign

Add 6 to both sides

Divide by 3


<em>So, the coordinates are (-8, 11) or (12,11)</em>
Answer:
C' (-4 , 2)
slope of new line = line "L" = -2
Step-by-step explanation:
C (x₀,y₀): (0,2) dilation center (h,k): (2,2) scale factor (sf): 3
C' (x,y)
x = 2 + 3*(0-2) = -4 x = h + sf*(x₀ - h)
y = 2 + 3*(2-2) = 2 y = k + sf*(y₀ - k)
C' (-4 , 2)
slope of new line = line "L" = -2