Answer:
![l=\frac{A-\frac{1}{2} \pi w^2}{2w}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7BA-%5Cfrac%7B1%7D%7B2%7D%20%5Cpi%20w%5E2%7D%7B2w%7D)
Step-by-step explanation:
We essentially need to solve for l; in other words, we must isolate it to one side.
First, notice that the term
doesn't have any l terms in it, so we can just move this to the left side by subtracting both sides by
:
A -
= 2lw
Now, the right side has 2lw, so we must divide both sides by 2w to isolate l:
![l=\frac{A-\frac{1}{2} \pi w^2}{2w}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7BA-%5Cfrac%7B1%7D%7B2%7D%20%5Cpi%20w%5E2%7D%7B2w%7D)
<em>~ an aesthetics lover</em>
<h2>
Hello!</h2>
The answer is:
The correct option is:
A. $0.49
<h2>
Why?</h2>
From the statement, we know that the iHome is used on average three hours a day, and we are asked to find the cost for a week, so first, we need to calculate the total hours that the iHome is used for, and then, calculate the kilowatt-hour consumption rate.
![TotalTime_{week}=3\frac{hours}{day} *7days=21hours](https://tex.z-dn.net/?f=TotalTime_%7Bweek%7D%3D3%5Cfrac%7Bhours%7D%7Bday%7D%20%2A7days%3D21hours)
![TotalEnergyConsumption_{week}=180watt*21hours=3780watt.hour](https://tex.z-dn.net/?f=TotalEnergyConsumption_%7Bweek%7D%3D180watt%2A21hours%3D3780watt.hour)
Now, we must remember that:
![1Kilowatt=1000watts](https://tex.z-dn.net/?f=1Kilowatt%3D1000watts)
So,
![3780watts=3780watts.hour*\frac{1KiloWatt}{1000watts}=3.78KiloWatt.hour](https://tex.z-dn.net/?f=3780watts%3D3780watts.hour%2A%5Cfrac%7B1KiloWatt%7D%7B1000watts%7D%3D3.78KiloWatt.hour)
Then, calculating the cost, we have:
![TotalCost_{week}=0.13\frac{dollar}{killowat.hour}*3.78killowat.hour=0.49(dollar)](https://tex.z-dn.net/?f=TotalCost_%7Bweek%7D%3D0.13%5Cfrac%7Bdollar%7D%7Bkillowat.hour%7D%2A3.78killowat.hour%3D0.49%28dollar%29)
Hence, we have that the correct option is:
A. $0.49
Have a nice day!
(4 + 5) and (7/8 + 2/8) = 9 9/8 = 10 1/8.
Answer:
288 miles
Step-by-step explanation:
18 times 16
Answer:
-1/5
Step-by-step explanation:
When a line is perpendicular to another line, it's gradient will be a reciprocal.
To calculate the reciprocal of a number you have to flip the fraction the other way around.
So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.
The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.