https://file.aiquickdraw.com/mathbot/file/1726323793958ovnbp2zq.jpg

The task asks to convert:

1. **160°C to Fahrenheit**
2. **-30°F to Celsius**

### Temperature Conversion Formulas

- **Celsius to Fahrenheit**: 
  \[
  F = \left( \frac{9}{5} \times C \right) + 32
  \]
  
- **Fahrenheit to Celsius**:
  \[
  C = \left( \frac{5}{9} \times (F - 32) \right)
  \]

### Step 1: Convert 160°C to Fahrenheit

Using the Celsius to Fahrenheit formula:
\[
F = \left( \frac{9}{5} \times 160 \right) + 32
\]
Let's calculate this.

### Step 2: Convert -30°F to Celsius

Using the Fahrenheit to Celsius formula:
\[
C = \left( \frac{5}{9} \times (-30 - 32) \right)
\]
Let me calculate both conversions for you.Here are the conversions:

1. **160°C** is equal to **320°F**.
2. **-30°F** is equal to approximately **-34.44°C**.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How can you derive the conversion formula between Celsius and Fahrenheit?
2. What is the significance of the freezing and boiling points in the Celsius and Fahrenheit scales?
3. How would you convert temperatures between Kelvin and Celsius?
4. What are other real-life applications of temperature conversions?
5. How does the gradient of the line in the graph relate to the temperature conversion formula?

**Tip**: Always double-check your unit conversions, especially in scientific calculations!

Convert 160°C into Fahrenheit and -30°F into Celsius using simple algebra.

Learn how to convert temperatures between Celsius and Fahrenheit using simple algebra. This problem demonstrates how to convert 160°C to 320°F and -30°F to approximately -34.44°C, with detailed explanations of key formulas.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation