Questions: The ski report also reported that the temperature on the Valluga was -12°C. What is this temperature in Fahrenheit (round to the nearest degree)?

The ski report also reported that the temperature on the Valluga was -12°C. What is this temperature in Fahrenheit (round to the nearest degree)?
Transcript text: The ski report also reported that the temperature on the Valluga was $-12^{\circ} \mathrm{C}$. What is this temperature in Fahrenheit (round to the nearest degree)? $\square$ 10
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Solution

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Solution Steps

Step 1: Convert Base Depth from Centimeters to Inches
  1. Use the conversion factor: \(1 \, \text{cm} = 0.393701 \, \text{inches}\).
  2. Multiply the base depth in centimeters by the conversion factor: \[ 120 \, \text{cm} \times 0.393701 \, \text{inches/cm} = 47.24412 \, \text{inches} \]
  3. Round the result to the nearest inch: \(47 \, \text{inches}\).
Step 2: Convert Temperature from Celsius to Fahrenheit
  1. Use the conversion formula: \(F = \frac{9}{5}C + 32\).
  2. Substitute the given temperature in Celsius: \[ F = \frac{9}{5} \times (-12) + 32 \]
  3. Calculate the result: \[ F = -21.6 + 32 = 10.4 \]
  4. Round the result to the nearest degree: \(10^{\circ} \, \text{F}\).
Step 3: Convert Wind Speed from Kilometers per Hour to Miles per Hour
  1. Use the conversion factor: \(1 \, \text{km/h} = 0.621371 \, \text{mph}\).
  2. Multiply the wind speed in kilometers per hour by the conversion factor: \[ 10 \, \text{km/h} \times 0.621371 \, \text{mph/km/h} = 6.21371 \, \text{mph} \]
  3. Round the result to the nearest mile per hour: \(6 \, \text{mph}\).

Final Answer

  1. Base depth in inches: \( \boxed{47} \)
  2. Temperature in Fahrenheit: \( \boxed{10} \)
  3. Wind speed in miles per hour: \( \boxed{6} \)
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