Answer:
Area of sector = 84.861
Step-by-step explanation:
Given
The radius of the circle = 9
central angle of sector = 
value of pi π = 3.143
To find : the area of sector = ?
We know that the formula to calculate area of sector is given as:
area of sector = (π
Θ)/ 
where, r is radius and Θ is the central angle of the sector
Substituting the known values in above formula, we get
area of sector = (3.143 x
x
) / 
= 84.861
Hence area of sector is 84.861
Answer:

Step-by-step explanation:
please mark me brainliest
By using <span>De Moivre's theorem:
</span>
If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴
![\sqrt[n]{z} = \sqrt[n]{a} \ (cos \ \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bz%7D%20%3D%20%20%5Csqrt%5Bn%5D%7Ba%7D%20%5C%20%28cos%20%5C%20%20%5Cfrac%7B%5Ctheta%20%2B%20360K%7D%7Bn%7D%20%2B%20i%20%5C%20sin%20%5C%20%5Cfrac%7B%5Ctheta%20%2B360k%7D%7Bn%7D%20%29)
k= 0, 1 , 2, ..... , (n-1)
For The given complex number <span>⇒ z = 81(cos(3π/8) + i sin(3π/8))
</span>
Part (A) <span>
find the modulus for all of the fourth roots </span>
<span>∴ The modulus of the given complex number = l z l = 81
</span>
∴ The modulus of the fourth root =
Part (b) find the angle for each of the four roots
The angle of the given complex number =

There is four roots and the angle between each root =

The angle of the first root =

The angle of the second root =

The angle of the third root =

The angle of the fourth root =
Part (C): find all of the fourth roots of this
The first root =

The second root =

The third root =

The fourth root =
<u>x-intercepts are found by setting y=0</u>

<em>factor out a 2</em>

<em />

<em>roots should be </em>x=-1,5
therefore,
x-intercepts are (-1,0) and (5,0)
<u>
</u><u>y-intercepts are found by setting x=0</u>


therefore,
y-intercept is (0,-10)
This can also be written as A = s^2 and the area would be 49 with a side length of 7.
In order to find this, you can stick 7 into the area equation.
A = s^2
A = 7^2
A = 49