Answer:
15
Step-by-step explanation:
When you find the sum of 3 and 5 you get 8, which represents the total number of vehicles used in the trucks to cars ratio.
This means that the ratio of cars to total vehicles in this ratio is 5 to 8. Because there are 24 vehicles in the parking lot, and 8 × 3 = 24, you can multiply the entire ratio by three to get your answer:
5 to 8 ⇒ 15 to 24
Therefore, the number of cars in the parking lot is 15.
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:Yes it is proportional
Answer:
Well to estimate a decimal the best option would be to round it to.
10 or 11 (For 10.9)
11 (For 11.1)
and since two of them equal 11.
The estimation would be 11.
I hoped this helped.
A common ratio for that sequence is r = 5/1
