Answer:
The area of the shaded region is about 38.1 square centimeters.
Step-by-step explanation:
We want to find the area of the shaded region.
To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.
The given circle has a radius of 6 cm.
And the given sector has a central angle of 150°.
The area for a sector is given by the formula:

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

Now, we can find the area of the triangle. We can use an alternative formula:

Where a and b are the side lengths, and C is the angle between them.
Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.
And the angle C is 150°. Hence, the area of the triangle is:

The area of the shaded region is equivalent to the sector minus the triangle:

Therefore:

Use a calculator:

The area of the shaded region is about 38.1 square centimeters.
The exact calculations:
Principal, P=3000
interest rate = 33% per year
Period, t=10 years
Future value



Interest
= future value - principal
= 81337.92-3000
=
78337.92 (to the nearest cent)
R=-6
Mark brainliest please
Hope this helps you
Answer: 
Step-by-step explanation:
Given
The length of the shadow is 78 ft
the angle of elevation is 
Suppose the height of the building is 
From the figure, we can write

The height of the building is 45.03 ft
Answer:
0.992
Step-by-step explanation:
do you not have a calculator