Answer:
Step-by-step explanation:
The genral form of a complex number in rectangular plane is expressed as z = x+iy
In polar coordinate, z =rcos ∅+irsin∅ where;
r is the modulus = √x²+y²
∅ is teh argument = arctan y/x
Given thr complex number z = 6+6√(3)i
r = √6²+(6√3)²
r = √36+108
r = √144
r = 12
∅ = arctan 6√3/6
∅ = arctan √3
∅ = 60°
In polar form, z = 12(cos60°+isin60°)
z = 12(cosπ/3+isinπ/3)
To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)
z^1/4 = 12^1/4(cosπ/12+isinπ/12)
When n = 1;
z1 = 12^1/4(cosπ/3+isinn/3)
z1 = 12^1/4cis(π/3)
when n = 2;
z2 = 12^1/4(cos2π/3+isin2π/3)
z2 = 12^1/4cis(2π/3)
when n = 3;
z2 = 12^1/4(cosπ+isinπ)
z2 = 12^1/4cis(π)
when n = 4;
z2 = 12^1/4(cos4π/3+isin4π/3)
z2 = 12^1/4cis(4π/3)
Your answer is 26.9 so u could round it up to 27
Answer: 1 and 2/3
Step-by-step explanation:
Imagine 3 1/3 as if it’s in parenthesis as (3 + 1/3)
Subtract three from five.
You should get two.
Then you subtract the last 1/3 from that two.
There are three thirds in one digit.
Therefore, two thirds are left over, plus that last whole digit.
You are left with one and one third.
Answer:
1. x (multiplication)
2. / (division)
3. - (subtraction)
4. - (subtraction)
5. / (division)
Step-by-step explanation:
1. 24 x 3/4= 18
2. 24/-3/4=-32
3. 12- 15= -3
4. 12- (-15)= 12 + 15 = 27
5. -18 / -3/4= 24
Answer:
Yes
Step-by-step explanation:
I think so
