Answer:
the mid point formula for this is x+x/2 and y+y/ 2 so #9would be 1/2, 3/2
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.
Volume (V) is (=) Length (L) times (x) Width (W) times (x) Height (H) so V = L x V x H.
Add the variables to the equation.
V = 24 x 10 x 13
Solve
V = 3120
So the volume of the gift box is 3120 cm
Answer:
x=55
Step-by-step explanation:
The exterior angles of a polygon add to 360.
x+x+x+x+x+x+30 = 360
Combine like terms
6x+30 = 360
Subtract 30 from each side
6x+30-30 = 360-30
6x = 330
Divide by 6
6x/6 =330/6
x =55
Even though it has not happened yet again
