Question

1. convert -40.0 °f to celsius
2. convert -40.0 °f to kelvin

39.9 °c
convert 3220 °f to celsius (likely typo, possibly 32.20 °f)
convert 480 °f to kelvin
309.15
279 k

Explanation:

Step1: Recall the Fahrenheit to Celsius conversion formula

The formula to convert Fahrenheit (\(^\circ\text{F}\)) to Celsius (\(^\circ\text{C}\)) is \(^\circ\text{C}=\frac{5}{9}(^\circ\text{F} - 32)\).

Step2: Substitute the given Fahrenheit value

We are given \(^\circ\text{F}=- 400\). Substitute this into the formula:
\[
^\circ\text{C}=\frac{5}{9}(-400 - 32)
\]

Step3: Simplify the expression inside the parentheses

First, calculate \(-400-32=-432\). So now we have:
\[
^\circ\text{C}=\frac{5}{9}\times(-432)
\]

Step4: Perform the multiplication

\(\frac{5}{9}\times(-432)=5\times(-48)= - 240\) (since \(\frac{-432}{9}=-48\)).

Step1: Recall the Fahrenheit to Kelvin conversion formula

The formula to convert Fahrenheit (\(^\circ\text{F}\)) to Kelvin (\(K\)) is \(K=\frac{5}{9}(^\circ\text{F}-32)+273.15\).

Step2: Substitute the given Fahrenheit value

We know \(^\circ\text{F} = - 400\), substitute into the formula:
\[
K=\frac{5}{9}(-400 - 32)+273.15
\]

Step3: Simplify the expression inside the parentheses

\(-400 - 32=-432\), so:
\[
K=\frac{5}{9}\times(-432)+273.15
\]

Step4: Perform the multiplication

\(\frac{5}{9}\times(-432)=-240\) (as calculated before). Then:
\[
K=-240 + 273.15
\]

Step5: Perform the addition

\(-240+273.15 = 33.15\)

Answer:

\(-240^\circ\text{C}\)

For converting \(-400^\circ\text{F}\) to Kelvin: