Answer:
28j+21
Step-by-step explanation:
remember to isolate the variable. in this case it would be j. after you do that it should be pretty simple
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:
Step-by-step explanation:
Remember that the formula to get the area of a right triangle is base times height divided by 2, so to find the area:
5 x 12 = 60/2 = 30
Area of this triangle is 30.
To find the perimeter, add all the sides:
5 + 12 + 13 = 30.
Perimeter of this triangle is 30.
Answer: A negative
Step-by-step explanation:
The opposite of a negative is positive, the opposite of a positive is a negative.
Answer:
x = 5
Step-by-step explanation:
Given that,
NL = 5x, LM = 3x, and NL = 15
L is between M and N.
To find,
The value of x.
Solution,
It is mentioned that, L is between M and N. So,
LM = LN
Put all the values,
3x = 15
⇒ x = 5
So, the value of x is equal to 5.
Reference,
brainly.com/question/19871240
