Use a Graph to Estimate the Values Of $\theta$ For Which the Curves

question 31

Multiple Choice

Use a graph to estimate the values of $\theta$ for which the curves $r = 9 + 3 \sin 5 \theta$ and $r = 18 \sin \theta$ intersect. Round your answer to two decimal places.

• A) \(\theta = 1.48\)
• B) \(\theta = 0.58\)
• C) \(\theta = 4.7\)
• D) \(\theta = 0.49\)
• E) \(\theta = 2.57\)

---

Definitions:

Contribution

The portion of sales revenue that exceeds variable costs, contributing towards covering fixed costs and generating profit.

Owners' Equity

The residual interest in the assets of a business after deducting liabilities, representing the owners' claims against the company’s resources.

Capital Balances

The amount of money that partners or owners have contributed to a business or the retained earnings within a company.

Income Ratio

A financial metric that compares specific income components to total revenue or other earnings measures, often used to assess profitability or operational efficiency.