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Convert \( 43^{\circ} \mathrm{C} \) to degrees Fahrenheit. If necessary, round your answer to the nearest tenth of a degree. Here are the formulas. \[ \mathrm{C}=\frac{5}{9}(F-32) \] \( \mathrm{F}=\frac{9}{5} \mathrm{C}+32 \) \( \left.43^{\circ} \mathrm{C}=\llbracket\right]^{\circ} \mathrm{F} \)

Ask by Whittaker Gardner. in the United States
Mar 10,2025

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Answer

\( 43^{\circ} \mathrm{C} = 109.4^{\circ} \mathrm{F} \)

Solution

Given the formula \[ F = \frac{9}{5}C + 32, \] substitute \( C = 43 \): \[ F = \frac{9}{5} \times 43 + 32. \] First, calculate \[ \frac{9}{5} \times 43 = \frac{387}{5} = 77.4. \] Then, add 32: \[ 77.4 + 32 = 109.4. \] Thus, \[ 43^{\circ} \mathrm{C} = 109.4^{\circ} \mathrm{F}. \]

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To convert \( 43^{\circ} \mathrm{C} \) to degrees Fahrenheit, you can use the formula: \[ F = \frac{9}{5}C + 32 \] Substituting \( C = 43 \): \[ F = \frac{9}{5} \times 43 + 32 \] Calculating that gives: \[ F = 77.4 + 32 = 109.4 \] Thus, \[ 43^{\circ} \mathrm{C} = 109.4^{\circ} \mathrm{F} \] --- In many fields, temperature conversion is crucial, from cooking to meteorology! For instance, many recipes specify temperatures in Fahrenheit, yet some folks predominantly use Celsius. This means having the ability to switch between these scales can save you from an overcooked soufflé or a frozen cake! Common mistakes involve forgetting to use the proper formula, or miscalculating when converting the temperature. Remembering to double-check your calculations and rounding would help ensure your conversions are accurate! Avoid mixing up the conversion formulas – that’s a recipe for disaster!

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