Answer:
The area of the sector is 3pi/2
Step-by-step explanation:
A sector is that part of a circle bounded by 2 radii and an arc
The circle has an area of 9 pi with a central angle of 60 degrees.
Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.
Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.
Thus, the area of the sector is one-sixth the area of the circle.
The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi
Option D would probably be the right choice. Because x is the variable for coins, there would be x amount of quarters, and because there are 150 coins, 150 - x would be the remainder.
Showing work:
x+(x-4)+4x=62
6x-4=62
6x=66
x=11
The numbers are: 11, 7, 44
Answer:
About 13% of the freshman class are left-handed
Step-by-step explanation:
To find the percentage of a whole you need to divide the part by the whole number (85/645 = 0.1316), then you round to the nearest tenth (0.13) and change it into a percentage by moving the decimal point 2 numbers to the right. (13%)
Answer:
Step-by-step explanation:
4x - 2y = 6
-2y = -4x + 6
y = -4x/-2 + 6/-2
y = 2x - 3