Question

convert the given fahrenheit temperature to its equivalent temperature on the celsius scale. use c = \frac{5}{9}(f - 32) or f = \frac{9}{5}c + 32, where f is the degrees in fahrenheit and c is the degrees in celsius. 46°f 46°f = °c (round to the nearest tenth as needed )

Explanation:

Step1: Identify the formula

We use the formula $C=\frac{5}{9}(F - 32)$, with $F = 46$.

Step2: Substitute the value of F

$C=\frac{5}{9}(46 - 32)$.

Step3: Calculate the value inside the parentheses

$46-32 = 14$, so $C=\frac{5}{9}\times14$.

Step4: Calculate the product

$C=\frac{70}{9}\approx7.8$.

Answer:

$7.8$