Answer:
the answer would be d
Step-by-step explanation:
(8+12) is the sum
(8+12)10 would give you the answer of the sum of 8 and 12 times 10
Were is the rest of the question
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
Answer: The proportion of employees who either have MBAs or are managers are 0.58.
Step-by-step explanation:
Since we have given that
Probability of employees having managerial positions = 67%
Probability of employees having MBA degrees = 58%
Probability of managers having MBA degrees = 67%
So, using probability formulas, we get that
Hence, the proportion of employees who either have MBAs or are managers are 0.58.
Answer:
the answer is 2.90
Step-by-step explanation:
Picture a rectangle, if one side is 3.4 then the other side 3.4. Add those two togerther gives you 6.8. Now you can subtract 6.8 from the perimeter which is 12.6 then that gives you 5.8. Then you split the 5.8 which give you 2.90 which is the length of the rectangle. So if you label all the sides of the rectangle like this 3.4 + 3.4 + 2.90 + 2.90 = 12.6