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.
~54: 1,2,3,6,9,27~
~2,754:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,
306,459, 918,1377,2754~
~27: 1,3,9,27~
GCF: 27
Your answer would be for the GCF would be 27
Answer:
Worded weird but not hard ($2275)
Step-by-step explanation:
if the apartment starts at 1300 dollars a month and it goes up 7.5 percent, you'd need to first convert your percent back into decimal form for you to be able to finish the problem. This is easily done by moving the decimal two space to the left
.075 * 1300=97.5 is your yearly rate of change
every year your rent goes up 97 dollars and fifty cents or 97.5
multiply this by ten and you have the answer to the increase
97.5 *10= 975
in ten years the apartment will cost 1300+975 which is a whopping $2275 a month. That's pretty crazy
Answer:
Step-by-step explanation:
16.) 2/3
You add up the fractions and then reduce.
(5/12 + 3/12 = 8/12 = 2/3)
17.) No because if you add all the fractions together, you only get 7/8. This means the project is not complete yet.