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The question is asking to convert rectangular coordinates (5, -3) to polar coordinates, and to express the answer in degrees, rounded to the nearest hundredth.

### Steps to convert rectangular coordinates to polar coordinates:
1. **Find the radius \( r \):**
   The radius in polar coordinates is given by:
   \[
   r = \sqrt{x^2 + y^2}
   \]
   where \(x = 5\) and \(y = -3\).

2. **Find the angle \( \theta \) in degrees:**
   The angle is calculated using:
   \[
   \theta = \tan^{-1}\left(\frac{y}{x}\right)
   \]
   Since \(y = -3\) and \(x = 5\), this will give us the angle in radians, which we will then convert to degrees. Because the point is in the fourth quadrant (positive \(x\) and negative \(y\)), we'll need to adjust the angle accordingly.

Let me calculate these values for you.The polar coordinates of the point with rectangular coordinates \((5, -3)\) are approximately:

\[
r = 5.83, \quad \theta = -30.96^\circ
\]

These values are rounded to the nearest hundredth as requested.

Would you like more details on the conversion process or have any questions?

Here are 5 related questions to explore further:
1. How do you convert polar coordinates back to rectangular coordinates?
2. What happens if the angle is given in radians instead of degrees?
3. How can you represent angles larger than 360° or negative angles in polar coordinates?
4. How would the conversion change if the point were in a different quadrant?
5. Can polar coordinates have negative radii, and how does it affect the angle?

**Tip:** When using polar coordinates, always pay attention to the quadrant of the point to adjust the angle correctly.

Hallar las coordenadas polares del punto que tiene coordenadas rectangulares (5, -3).

Learn how to convert rectangular coordinates (5, -3) to polar coordinates, including how to find the radius and angle, with answers rounded to the nearest hundredth. Suitable for high school trigonometry students in Grades 10-12.

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