Answer:
The complex number in the form of a + b i is 3/2 + i √3/2
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = 3(cos 60° + i sin 60°)
∴ r = 3 and Ф = 60°
∵ cos 60° = 1/2
∵ sin 60 = √3/2
- Substitute these values in z
∴ z = 3(1/2 + i √3/2) ⇒ open the bracket
∴ z = 3/2 + i √3/2
* The complex number in the form of a + b i is 3/2 + i √3/2
Answer:
unit rate is 106 miles per hour and it can go 1272 miles in 12 hours
Step-by-step explanation:
-divide 530 by 5 and you get 106 miles an hour.
-then multiply 106 by 12 to get 1272 miles an hour.
Answer:
x > -18
Step-by-step explanation:
10 ( x - 9 ) > -270
Treat the inequality like an equation,
Distribute first:
10 ( x - 9 ) > - 270
10x - 90 > -270
Inverse operations:
10x - 90 > -270
+90 +90
10x > -180
/10 /10
x > -18
Answer:
Therefore , the factors of 24 are = 1,2,3,4,6,12 and 24
Step-by-step explanation:
.
.
#hope it helps you..
(◕ᴗ◕)
