Answer:
C. 4(cos(300°) +i·sin(300°))
Step-by-step explanation:
The magnitude will be ...
magnitude = √(2^2 +(-2√3)^2) = √(4+12) = 4
The negative imaginary part puts the angle in the 4th quadrant. The answer choice with a magnitude of 4 and a 4th-quadrant angle is ...
4(cos(300°) +i·sin(300°))
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If you want to figure the angle, it will be ...
angle = arctan(Im()/Re()) = arctan(-2√3/2) = arctan(-√3) = -60°
The corresponding 4th-quadrant angle is 300°.
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<em>Comment on answer choices</em>
Answer choice A is <em>another representation of the same number</em>. Typically, we want the magnitude to be positive in polar form, so that answer can be avoided on those grounds.
Answer:
Medium: 4 and Large: 6
Step-by-step explanation:
Factor pairs that are equivalent to 10:
1,9
2,8
3,7
4,6
5,5
and so on. So you could do 2.4*9 and 1.8*1. If that doesn't work, switch it around. This coud probably take 1/2 of a hour or more. But it'll be worth it if it's a grade. :3
In the end, I'm pretty sure you should be able to get the answer:
Medium cups: 4
Large cups: 6
1.8 multiplied by 4 would get you 7.2 and 2.4 multiplied by 6 would get you 14.4. If you add them all up, you would get a 21.6! If you didn't, check your math again.
1.6 is the answer to that question.
Answer:
23
Step-by-step explanation:
3-(-3)+17
get rid of the parenthesis and negatives and make it into a positive.
3+3+17
add 3+3
6+17
add
=23