Let $z=8\left(\cos \left(\frac{\pi}{3}\right)+i \sin \left(\frac{\pi}{3}\right)\right)$ and $w=3\left(\cos \left(\frac{\pi}{6}\right)+i \sin \left(\frac{\pi}{6}\right)\right)$. Which statement describes the geometric construction of the product $z w$ on the complex plane?
A. Stretch $z$ by a factor of 3 and rotate $\frac{\pi}{2}$ radians counterclockwise.
B. Stretch $z$ by a factor of 3 and rotate $\frac{\pi}{6}$ radians counterclockwise.
C. Stretch $z$ by a factor of 24 and rotate $\frac{\pi}{2}$ radians counterclockwise.
D. Stretch $z$ by a factor of 24 and rotate $\frac{\pi}{6}$ radians counterclockwise.
Answer (3)
If there were 5 small pizzas 2 friends eat 1 pizza so 6 friends eat 3 pizzas there will only be enough for 4 friends to eat so there would need to be 6 pizzas for each to be equally...
1/2 I think because everybody already ate except for one person
Each of the 6 friends initially eats half a pizza, totaling 3 pizzas consumed. After that, 2 pizzas remain, which can be equally shared among the friends, meaning each friend will need to eat another third of a pizza. Therefore, each friend needs to eat 3 1 more pizza.
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