<u>Part 1)</u> A 20° sector in a circle has an area of 21.5π yd².
What is the area of the circle?
we know that
the area of a circle represent a sector of
degrees
so by proportion
therefore
<u>the answer part 1) is</u>
The area of the circle is 
<u>Part 2)</u> What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?
we know that
the area of the circle is equal to

where
r is the radius of the circle
in this problem we have

<u>Find the area of the circle</u>



<u>Find the area of the sector</u>
we know that the area of the circle represent a sector of
radians
by proportion
therefore
<u>the answer part 2) is</u>
the area of the sector is

Answer:
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.1 gallons in ... in your car more than half full. Irene's car had 6.1 gallons in the 15 gallon tank on the coldest day of the year. Irene filled the tank with gas that costs $3.80 per gallon.
+ √6 = √9
The first step is to get
by itself. We can do this by subtracting
from each side, and simplifying 
= 3 - 
Now we square both sides
5x = (3 -
)²
Using the formula (a - b)² = a² -2ab + b², (3 -
)² = 15 - 6
5x = 15 - 6
x = 
Answer:
She can type 225 words in 10 minutes
Step-by-step explanation:
We can find the rate by dividing the number of words by the time
90 words/ 4 minutes
22.5 words per minute
Now to find the number of words in 10 minutes, multiply the rate times the time
22.5 * 10 = 225
She can type 225 words in 10 minutes
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles