Answer:
285
Step-by-step explanation:
The total amount of degrees in a circle is 360, we know that the un-shaded portion of the circle is 90 degrees this means that the shaded portion has 270 degrees.
We also know that the area of the circle is 
but we are finding a portion of that, therefore we would need to multiply it by 
. The radius is also given which is 11.
Area of the shaded region = 
= 285
Answer:
Step-by-step explanation:
Given
Required
Find p, when 
We have:
Express as equation
Make k the subject
When:
When , we have:
Using the chain rule: The derivative of e^u is (e^u)(u'). Notice that e^u is rewritten exactly as is and then multiplied by the derivative of the exponent.
Let u=2x. So u'=2
So the derivative of e^u is e^(2x)*2 This can also be written as 2e^(2x).
Answer:
each movie costs $2.75, each video game costs $6.75
Step-by-step explanation:
x = movies, y = video games
7x + 9y = 80
5x + 3y = 34
simplified to
x = 11/4 , y = 27/4
Answer:
Step-by-step explanation:
Remark
If you take one radius whose length is r and start it at (0,0) on one end and (r,0) at the other, and sweep it around so the (r,0) hits every point on the circumference of the circle, the radius will go through 360°.
You have only gone through 120°. That's no problem. All you have to do now is add a fraction that adjusts for the 120°.
Formula
Arc length = fraction * 2*pi * r
2*pi * r is the circumference
Arc Length = 2* (120/360) * pi * r
Givens
r = 13
pi = 3.14
Solution
Arc Length = (120/360) * 2 * pi * 13
Arc Length = 27.21
Answer
Arc Length = 27.21
