The answer is A: 202 tables
Answer:
(1) 7 ÷ 7^3 x 7 = <u>1/7</u>
(2) 8^2 ÷ (8 - 4)^2 = <u>4</u>
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(3) -4 + 3^3 ÷ 5 = <u>1.4</u>
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<em>Hope this helps</em>
<em>-Amelia The Unknown </em>
Answer: 201.06 in²
Step-by-step explanation:
Use the equation πr² to find out the area of a circle.
Since the diameter is 16 the radius is half of that, 8.
π(8)²
Work out that equation and you're done!
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.
