Answer:
Arc length of the partial circle = 3π units
Step-by-step explanation:
Given question is incomplete; please find the complete question attached.
Formula for the arc length of a circle = ![\frac{\theta}{360^\circ}(2\pi r)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%5E%5Ccirc%7D%282%5Cpi%20r%29)
Here θ is the angle formed by the sector at the center.
Angle that is formed at the center of the circle is = 360° - 90°
= 270°
So, length of the arc = ![\frac{270}{360}(2\pi)(2)](https://tex.z-dn.net/?f=%5Cfrac%7B270%7D%7B360%7D%282%5Cpi%29%282%29)
= 3π
Therefore, length of the given partial circle is 3π units.
$21.03 you would have to subtracts the 10% first then subtract 15%
Answer:
0.8 kilowatt/hour
Step-by-step explanation:
divide 4/5, gives you .
All of them use Tons, pounds or ounces so you need the conversion factors which are these.
1 Ton = 2,000 lbs
1 lb = 16 oz
2.) 6T = 12,000 lbs (6 x 2,000)
3.) 18 lbs = 288 oz (16 x 18)
4.) 3,200 oz = 200 lbs (3,200/16)
5.) 12 T = 24,000 lbs(12x2,000)
6.) 9 lbs = 144 oz (16x9)
7.) 7 lbs = 112 oz(16x7)
8.) 100 lbs = 1,600 oz (16x100)
9.) 60,000 lbs = 30 T (60,000/2,000)
10.) 40 oz < 4 lbs (4x16)
11.) 80 oz = 5 lbs (5x16)
12.) 5,000 lbs < 5 T (5x2,000)
13.) 18,000 lbs = 9 T (9x2,000)
14.) 25 lbs > 350 oz (250x16)
15.) 27 oz < 2 lbs (16x2)
16.) 3 T = 6,000 lbs (3x2,000)
17.) First you need to know how many ounces 22 pounds is, so you multiply 16 by 22 to get 352 oz. Then subtract by 112 oz, she can add 240 more oz or 15 more lbs.
Answer:
2.5 gallons
Step-by-step explanation:
Make the denominators of the fractions the same and combine them
![\frac{1}{3} =\frac{2}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B2%7D%7B6%7D)
![\frac{2}{6} +\frac{1}{6} =\frac{3}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B6%7D%20%2B%5Cfrac%7B1%7D%7B6%7D%20%3D%5Cfrac%7B3%7D%7B6%7D)
Then simplify the fraction
![\frac{3}{6} =\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B6%7D%20%3D%5Cfrac%7B1%7D%7B2%7D)
Then subtract how many gallons you have from how many you want
![3 -\frac{1}{2} = 2\frac{1}{2}](https://tex.z-dn.net/?f=3%20-%5Cfrac%7B1%7D%7B2%7D%20%3D%202%5Cfrac%7B1%7D%7B2%7D)
You will need 2.5 gallons to make 3 gallons