Answer:
The square roots of 49·i in ascending order are;
1) -7·(cos(45°) + i·sin(45°))
2) 7·(cos(45°) + i·sin(45°))
Step-by-step explanation:
The square root of complex numbers 49·i is found as follows;
x + y·i = r·(cosθ + i·sinθ)
Where;
r = √(x² + y²)
θ = arctan(y/x)
Therefore;
49·i = 0 + 49·i
Therefore, we have;
r = √(0² + 49²) = 49
θ = arctan(49/0) → 90°
Therefore, we have;
49·i = 49·(cos(90°) + i·sin(90°)
By De Moivre's formula, we have;
Therefore;
√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))
∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))
√(49·i) = ± 7·(cos(45°) + i·sin(45°))
The square roots of 49·i in ascending order are;
√(49·i) = - 7·(cos(45°) + i·sin(45°)) and 7·(cos(45°) + i·sin(45°))
Answer:
8 Hours
Step-by-step explanation:
Since 4 painters painting one house takes 14 hours, then one person would take 56 hours to paint the whole house. Hence, 4 x 14 = 56. If 7 people painted the house, then 8 hours would be needed since 56 / 7 = 8.
4 people x 14 hours = House
56 hours = House
56 hours is required to paint a house.
7 people x H hours= House
7 people x H hours = 56
(7 people x H hours)/ 7 = 56 / 7
You divide 7 on both sides to isolate H on one side.
H hours = 8
So H = 8 which is the amount of hours needed.
I Hope This Helps :)
Answer:
C. $128
Step-by-step explanation:
320 x 0.5 = 160
320 - 160 = 160
160 x 0.20 = 32
160 - 32 = 128
Answer:
Can't help you in this Question
Let x equal Thomas' age. Then Huilan's age is 2x. Set up an equation to model this situation:
x+2x=78
<em>*Combine like terms*</em>
3x=78
<em>*Divide both sides by 3*</em>
x=26
Hope this helps!!
