The total measure of the interior angles of each figure will be:
180 (n-2) = 180 (4 - 2) = 360
Now add all those angles and set them equal to 360.
41 + 133 + 86 + x = 360
x is the unknown angle.
260 + x = 360
x = 100
The missing angle that is Not labeled in any of the figure is 100°
Hope this helps :)
![y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\ y''(0)=20\cdot0^3=0](https://tex.z-dn.net/?f=y%3Dx%5E5-3%5C%5C%20y%27%3D5x%5E4%5C%5C%5C%5C%205x%5E4%3D0%5C%5C%20x%3D0%5C%5C%200%5Cin%20%5B-2%2C1%5D%5C%5C%5C%5C%20y%27%27%3D20x%5E3%5C%5C%5C%5C%0Ay%27%27%280%29%3D20%5Ccdot0%5E3%3D0)
The value of the second derivative for
is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of
is always positive for
. That means at
there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval
![[-2,1]](https://tex.z-dn.net/?f=%5B-2%2C1%5D)
.
The function
is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.
Answer:
m = -10 + 5p
Step-by-step explanation:
5p − m = 10
subtract 5p from both sides:
5p − m - 5p = 10 - 5p
simplifiy:
-m = 10 - 5p
divide -1 to both sides
m = -10 + 5p
m = -10 + 5p
===========
Answer:
9π units²
Step-by-step explanation:
To obtain an exact answer, use π, not an approximation such as 3.14.
A = πr² is the appropriate formula.
Here,
A = (3)^2·π units², or 9π units²
It's 61/21. That's the answer.
