Solve the Problem Find Zw
A) $50 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)$

question 174

Multiple Choice

Solve the problem. Leave your answer in polar form.
- $$\begin{array} { l } z = 10 \left( \cos 30 ^ { \circ } + i \sin 30 ^ { \circ } \right) \\w = 5 \left( \cos 10 ^ { \circ } + i \sin 10 ^ { \circ } \right) \end{array}$$
Find zw.

• A) \(50 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)\)
• B) \(15 \left( \cos 40 ^ { \circ } + i \sin 40 ^ { \circ } \right)\)
• C) \(15 \left( \cos 300 ^ { \circ } + i \sin 300 ^ { \circ } \right)\)
• D) \(50 \left( \cos 300 ^ { \circ } + \mathrm { i } \sin 300 ^ { \circ } \right)\)

---

Definitions:

Public Education

A system where the government provides educational services without direct charge to households, funded by taxation.

Positive Externalities

Benefits that affect parties who did not choose to incur that benefit, often associated with public goods or services, like education and vaccination.

Public Good

A public good is a product that one individual can consume without reducing its availability to another individual and from which no one is excluded.

Rival Good

A type of good where one person's consumption of the good reduces the ability of another person to consume the same good.