Complete Question:
Here is the complete question:
<em>A lumber yard has five different lengths of 2 by 4 boards. Based on cost per linear foot, which is the best deal available on 2 by 4 boards at this lumber yard?</em>
<em>2 × 4 BOARD PRICES
</em>
<em>8 foot board for $2.95
</em>
<em>10 foot board for $3.15
</em>
<em>12 foot board for $4.10
</em>
<em>16 foot board for $5.80
</em>
<em>20 foot board for $6.95</em>
Step-by-step explanation:





Therefore, <em>10 foot board for $3.15</em><em> </em>is the best deal available on 2 by 4 boards at this lumber yard. It means you should be able to get 1 board for $0.315 when you buy 10 boards.
Answer:
If those are the sides of the garden then it should be 86ft to fence around her garden.
Step-by-step explanation:
Add them together and then multi ply it by two.
Answer:
111010
Step-by-step explanation:
it is the correct answer
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.
1,800 is your answer because 1,200/72=16.6666667 and 1,800/108=16.6666667.
Hoped I helped!