Question

1. convert 89°f into °c.

Explanation:

Step1: Recall the formula for converting Fahrenheit to Celsius

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

Step2: Substitute the given Fahrenheit value into the formula

We are given \(^\circ\text{F} = 89\). Substitute this into the formula:
\(^\circ\text{C}=\frac{5}{9}\times(89 - 32)\)

Step3: Calculate the value inside the parentheses

First, calculate \(89 - 32 = 57\). So now we have \(^\circ\text{C}=\frac{5}{9}\times57\)

Step4: Perform the multiplication

\(\frac{5}{9}\times57=\frac{5\times57}{9}=\frac{285}{9}\approx31.67\) (rounded to two decimal places)

Answer:

\(89^\circ\text{F}\) is approximately \(31.67^\circ\text{C}\) (or exactly \(\frac{95}{3}^\circ\text{C}\approx31.67^\circ\text{C}\))