Answer:
Step-by-step explanation:
Step One
Find the exterior angle connected to the 93 degree angle. It is also a supplement to 93. Supplementary angles add to 180. Call the exterior angle y
93 + y = 180 Subtract 93 from both sides
y = 180 - 93
y = 87
Step two
Add all the exterior angles. They equal 360
x + 52 + 87 + x + 3 + 78 = 360 Combine the like terms
Step 3
Solve the equation
2x + 220 = 360 Subtract 220 from both sides
2x = 360 - 220
2x = 140 Divide by 2
x = 70
I don't see that anywhere, but I'm pretty sure I'm right.
Answer:
y=3
Step-by-step explanation:
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)
Answer:
1) maldava y despota
2) pequenos
Step-by-step explanation:
