Answer:
2 3/4 dozen cookies per hour
Step-by-step explanation:
To find his unit rate per hour, divide 5 1/2 by 2:
5.5/2
= 2.75 or 2 3/4 dozen cookies
So, his unit rate in dozen cookies per hour is 2 3/4
Since it says only write a expression, you can do 45xM= ?/?
Answer:
![Area =192\pi](https://tex.z-dn.net/?f=Area%20%3D192%5Cpi)
Step-by-step explanation:
Given
![\theta = 120^o](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20120%5Eo)
![r =24](https://tex.z-dn.net/?f=r%20%3D24)
Required
The area of the shaded sector
This is calculated as:
![Area =\frac{\theta}{360} * \pi r^2](https://tex.z-dn.net/?f=Area%20%3D%5Cfrac%7B%5Ctheta%7D%7B360%7D%20%2A%20%5Cpi%20r%5E2)
This gives
![Area =\frac{!20}{360} * \pi *24^2](https://tex.z-dn.net/?f=Area%20%3D%5Cfrac%7B%2120%7D%7B360%7D%20%2A%20%5Cpi%20%2A24%5E2)
![Area =\frac{1}{3} * \pi *576](https://tex.z-dn.net/?f=Area%20%3D%5Cfrac%7B1%7D%7B3%7D%20%2A%20%5Cpi%20%2A576)
![Area =\pi *192](https://tex.z-dn.net/?f=Area%20%3D%5Cpi%20%2A192)
![Area =192\pi](https://tex.z-dn.net/?f=Area%20%3D192%5Cpi)
a. a=40° (alternate interior angles)
b+40°=180°( supplementary angles)
b=140°
c= d= 140°( vertically opposite angles)
d=b=140°( corresponding angles)
b. 2a+120°=180° (supplementary angles)
2a=60°
a=30°
c. a+110°=180°( supplementary angles)
a=70°
b+70°=180°( supplementary angles)
b=110°
c+110°=180°( supplementary angles)
c=70°
c=d=70( corresponding angles)
Answer:
47
Step-by-step explanation:
180 - 133 = 47