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Express a temperature of 60^@ F in degre...

Express a temperature of `60^@ F` in degrees Celsius and in kelvin.

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To convert a temperature of \(60^\circ F\) to degrees Celsius and Kelvin, we will follow these steps: ### Step 1: Convert Fahrenheit to Celsius We use the formula for converting Fahrenheit to Celsius: \[ C = \frac{5}{9} (F - 32) \] Where: - \(C\) is the temperature in degrees Celsius. - \(F\) is the temperature in degrees Fahrenheit. Given \(F = 60^\circ F\), we can substitute this value into the formula: \[ C = \frac{5}{9} (60 - 32) \] ### Step 2: Calculate the value inside the parentheses First, we calculate \(60 - 32\): \[ 60 - 32 = 28 \] ### Step 3: Multiply by \(\frac{5}{9}\) Now, we substitute \(28\) back into the equation: \[ C = \frac{5}{9} \times 28 \] Calculating this gives: \[ C = \frac{5 \times 28}{9} = \frac{140}{9} \approx 15.56 \] So, the temperature in degrees Celsius is approximately: \[ C \approx 15.56^\circ C \] ### Step 4: Convert Celsius to Kelvin To convert from Celsius to Kelvin, we use the formula: \[ K = C + 273.15 \] Substituting our value of \(C\): \[ K = 15.56 + 273.15 \] ### Step 5: Calculate the value Now we perform the addition: \[ K \approx 15.56 + 273.15 = 288.71 \] Thus, the temperature in Kelvin is approximately: \[ K \approx 288.71 \, K \] ### Final Answers - Temperature in degrees Celsius: \(15.56^\circ C\) - Temperature in Kelvin: \(288.71 \, K\) ---

To convert a temperature of \(60^\circ F\) to degrees Celsius and Kelvin, we will follow these steps: ### Step 1: Convert Fahrenheit to Celsius We use the formula for converting Fahrenheit to Celsius: \[ C = \frac{5}{9} (F - 32) \] ...
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