10
,
−
5
,
−
14
3
,
9
,
3.77
,
−
1
3
π
,
9
,
−
3.8
,
23
The natural numbers are:
10
,
9
,
9
,
23
The whole numbers are:
10
,
9
,
9
,
23
The integers are:
10
,
−
5
,
9
,
9
,
23
The rational numbers are:
10
,
−
5
,
−
14
3
,
9
,
3.77
,
9
,
−
3.8
,
23
The irrational number is:
−
1
3
π
Answer:
c
Step-by-step explanation:
Answer:
2cents
Step-by-step explanation:
40/20=2
Answer: 64 students
Step-by-step explanation:
What you already know : Total students in English class= 100
Nine twenty-fifths of the class did not like the book.
Therefore, the number of students like the book =Total students- students did not like the book
=100-36=64 students.
Answer:
Step-by-step explanation:
Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.
When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.
Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?
What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!
Putting all of this together gives us:
z = |mag|*(cos(angle) + isin(angle))
= 2*cos(270°) + isin(270°)).
To verify, let's consider what cos(270°) and sin(270°) are.
If you graph cos(x) and look at 270°, you get 0.
If you graph sin(x) and look at 270°, you get -1.
So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.
