Answer: The letters replace the unknown numbers in an equation.
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:
Consider function f.
Which graph represents function f?
( Graphs in photo below )
W. X.
Y. Z.
A. W
B. X
C. Y
D. Z
Answer:
D. Z
Explanation:
( In photo below )
Step-by-step explanation:
The meaning of circumference is to find the distance around a circle or in other words the perimeter of the circle. The circumference of a circle can be calculate by using the formula
C=2πr or
C=πd.
In this exercise is given that diameter of a tire rim is 15 inches, and it is asked to find its circumference using 3.14 as the value of pi. In this problem the diameter of the circle is given, so in this case the formula
C=πd would be used, where
d represents the diameter.


The circumference of the tire rim is 47.1 inches.