Answer:
<h2>
![l = \frac{s - π {r}^{2} }{πr}](https://tex.z-dn.net/?f=l%20%3D%20%20%5Cfrac%7Bs%20-%20%CF%80%20%7Br%7D%5E%7B2%7D%20%7D%7B%CF%80r%7D%20)
</h2>
Step-by-step explanation:
s = πrl + πr²
First move πr² to the left side of the equation
We have
πrl = s - πr²
Divide both sides by πr to make l stand alone
That's
<h3>
![\frac{\pi \:rl}{\pi \: r} = \frac{s - \pi \: {r}^{2} }{\pi \: r}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%5Cpi%20%5C%3Arl%7D%7B%5Cpi%20%5C%3A%20r%7D%20%20%3D%20%20%5Cfrac%7Bs%20-%20%5Cpi%20%5C%3A%20%20%7Br%7D%5E%7B2%7D%20%7D%7B%5Cpi%20%5C%3A%20r%7D%20)
</h3>
We have the final answer as
<h3>
![l = \frac{s - π {r}^{2} }{πr}](https://tex.z-dn.net/?f=l%20%3D%20%20%5Cfrac%7Bs%20-%20%CF%80%20%7Br%7D%5E%7B2%7D%20%7D%7B%CF%80r%7D%20)
</h3>
Hope this helps you
Answer:
E. -8/3
F. 8/3
Step-by-step explanation:
9x^2-64=0
Add 64 to each side
9x^2-64+64 = 0+64
9x^2 =64
Divide each side by 9
9x^2/9 = 64/9
x^2 = 64/9
Take the square root of each side
sqrt(x^2) = ±sqrt(64/9)
We know that sqrt(a/b) = sqrt(a)/sqrt(b)
x = ±sqrt(64)/sqrt(9)
x = ± 8/3
The slope of a line perpendicular to the
graph of the equation 5x - 3y = 2 is -3/5.
<h3>How to find the slope of a line?</h3>
given that the equation is 5x - 3y = 2.
now write the equation in standard form y = mx + b
then -3y = 2 - 5x
y = -2/3 + 5x/3
y = 5/3x - 2/3
m 1*m 2 = - 1 is the formula for the slopes from a pair of perpendicular lines. where the slopes of the lines are m 1 and m 2.
Here m1 = 5/3 and m2 = -3/5.
Hence,the slope of a line perpendicular to the
graph of the equation 5x - 3y = 2 is -3/5.
Learn more about slope of the line from here:
brainly.com/question/16949303
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A = 84.825 because the area of a circle is 113.1 and 1/4 of it is missing.
5. After 6 hours, the concentration is halved. After 12 hours, it will be quartered. If the original concentration is 200 nmol, a quarter is 50 nmol.
14. The population doubles after 3 hours, and a day is 24 hours. That means that the original population should be multiplied by
, or
. 3 million times
is 3 * 256 million, or 768 million.
15. The concentration is halved every 8 hours and the original concentration is 100 nmol. So now, how many times do you halve 100 to get to 12.5?
100/2 = 50, 50/2 = 25, 25/2 = 12.5. That's three times. 3 * 8 is 24 hours, or 1 day.