1. The temperature of a windshield on a winter morning is 10 F. If the melting point is 0°C, how many degrees must the temperature of the windshield be raised before the ice can melt?

2. Farmers must monitor their cattle for signs of infection or disease. A cow's healthy body temperature is 102.5 F. What is its body temperature in degrees Celsius?

Let's solve each problem one by one.

### 1. Temperature Increase for Ice to Melt
- The melting point of ice is \(0^\circ C\), which is equivalent to \(32^\circ F\).
- The current temperature of the windshield is \(10^\circ F\).

To find out how many degrees the temperature must be raised for the ice to melt:

\[
\text{Temperature increase} = 32^\circ F - 10^\circ F = 22^\circ F
\]

So, the temperature must be raised by **22°F**.

### 2. Cow's Body Temperature in Celsius
- The formula to convert Fahrenheit (\(F\)) to Celsius (\(C\)) is:
  
\[
C = \frac{5}{9} \times (F - 32)
\]

Given:
\[
F = 102.5^\circ F
\]

Substitute the value:

\[
C = \frac{5}{9} \times (102.5 - 32) = \frac{5}{9} \times 70.5 = 39.17^\circ C
\]

So, the cow's body temperature in Celsius is approximately **39.17°C**.

---

Do you want further details or have any questions?

Here are some related questions you might find interesting:

1. What is the temperature difference in Celsius if the windshield was at 10°C instead?
2. How would the Fahrenheit to Celsius conversion formula change if the scales started at absolute zero?
3. How does the rate of temperature change affect the melting point of ice?
4. How would you convert temperatures from Celsius to Kelvin?
5. What would the cow's body temperature be in Kelvin?
6. What are the implications of incorrect temperature measurements in farming?
7. How does body temperature affect the metabolic rate in cows?
8. What are some techniques for accurately measuring a cow's body temperature?

**Tip:** When converting temperatures, always double-check if you’re working with the right conversion formula to avoid errors.

Explore two math problems involving temperature conversions: calculating the required temperature increase for ice to melt on a windshield and converting a cow's body temperature from Fahrenheit to Celsius. Get detailed solutions and understand key formulas used in temperature conversion.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation