Answer: The least share is N450000
Step-by-step explanation:
Given that :
Amount shared = N18 00000
Sharing ratio = 5:4:3
Amount shared by each child :
Total ratio = (5 + 4 + 3 )= 12
First share :
(5 / 12) × 1800000 = 750000
Second share :
(4/12) × 1800000 = 600000
Third share:
(3/12) × 1800000 = 450000
The least amount of the three shares is :
N450000
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
They are not IN a quadrant, but they all border the second quadrant.
Answer:
8 becaus it dives. 2 meters second so if it dives to meters every second then all you have to do is add to to 4 seconds
