Answer:
The correct answer is option C , 4 + 9i
Step-by-step explanation:
A complex number is the one which has a real number and an imaginary number.
In all the example given , option C 4 + 9i has "i" which signifies the imaginary number which nothing but a negative square root.
The hardest part is finding the length of the curve at the top. To find arc length, multiply the circumference by the arc angle divided by full angle (360°) in a circle. Or:

x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.
s = 2π(3.5)(1/2) ≈ 11.00
Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.
Not impressed that you consider yourself "too lazy" to at least get started on the solution of this problem. Why not "give it the old college try?"
Start by choosing letters to represent the unit cost of each popcorn and drink:
p: popcorn, d: drink.
Then 2p + 3d = $22.25 and 12p+4d=$39.00
Note that the unit of measurement of all 6 terms here is " $ ".
Solve this system of linear equations simultaneously:
2p + 3d = $22.25
12p+4d=$39.00
In your shoes I would mult. the first equation by -6 and then combine the result with the second equation. p will temporarily disappear, and you'll be left with an equation in d only, enabling you to find the unit cost of a drink.
Come on. Show your stuff. You'll need to respond through Comments.