The drummer drove 18 miles to pick up the singer and then another 28 miles to the job. The rest of the band drove 52 miles to th
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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.
Answer:
weeks or
weeks
Step-by-step explanation:
To do this we can set up a proportion
This will tell us how many weeks are in 2/5 of a year
Let's evaluate this
We cannot simplifiy this anymore, so we will leave it as an improper fraction, or a mixed number as shown below
weeks