Exercise 1:
The easiest way to compute powers of complex numbers is to write them in the form

In this form, you have

The magnitude of the number is given by

So, we have

As for the angle, we have

So, we have

Finally,

Exercise 2:
You simply have to compute the trigonometric function:

So, we have

Yes the probability of an outcome that lies within 68% is a good indicator that lies in which standard deviation.
It should be D. Because the equation is 2(width+ height + length
Answer:
The perimeter of a parallelogram is 30cm.
Step-by-step explanation:
From the question , the given area of a parallelogram is 36 cm².
But the area of a parallelogram can be calculated using below formula
Area = base * height
From the question the distances that exist between the point of intersection of the diagonals and the sides are 2cm and 3cm respectively
There is the same distance between point of intersection of the diagonals and the opposite sides then,
The base of the side with 4cm can be calculated as
ha= 2+ 2= 4cm
But area can be calculated as A= base × height
36= b1 × h1
36=b1 × 4
b1= 9cm
The base of the other side can be calculated with 6cm height
h2= 3+3=6cm
A= b2× h2
36= b2 ×h2
36= b2× 6
b2= 6cm
Then the perimeter of the parallelogram can be calculated as
P= 2(b1 + b2)
= 2(6+9)
= 30cm
Hence,the perimeter of the parallelogram is 30cm