Answer:
The opening is a rectangle
AC = 18 in
BD = 18 in
Step-by-step explanation:
9+9 = 18
since the diagonals are equal, it is a rectangle.
Answer:
No solution
Step-by-step explanation:
2x - 8 + 3x > 5x - 4
2x + 3x - 8 > 5x - 4
5x - 8 > 5x - 4
-5x +8 > -5x +8
----------------------
0x > 4
This is no solution, as there is no 'x' value.
(0x just means there isn't anything left, I put that in order to show there wasn't anything.)
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.
Answer:
2
Step-by-step explanation:
1/2 cup = 2/4 cups = 2 × 1/4 cup
Alonzo can make 2 batches that each require 1/4 cup.
Answer:
6
Step-by-step explanation:
5+8+6+5+10+7+1=42
42/7=6
