Answer:
The complex number
has Cartesian form
.
Step-by-step explanation:
First, we need to recall the definition of
when
is a complex number:
.
Then,
. (I)
Now, recall the definition of the complex exponential:
.
So,

(we use that
.
Thus,

Now we group conveniently in the above expression:
.
Now, substituting this equality in (I) we get
.
Thus,

.
Answer:
The area of cheese is 388π cm.
Step-by-step explanation:
Given that,
Radius of pizza = 20 cm
Number of pieces = 12
Radius of circle = 1 cm
We need to calculate the area of pizza
Using formula of area

Put the value into the formula


We need to calculate the area of circle
Using formula of area

Put the value into the formula


Now, we multiply the result by 12 because they are 12 salamis.
So. the area of salamis will be
We need to calculate the area of cheese
The total area of the pizza and subtract the area of the salamis

Put the value in to the formula


Hence, The area of cheese is 388π cm.
The maximum value of a is 10, when b is 0
Answer: 10 + 6 + 2.00x + 1.50x = Answer
Step-by-step explanation: