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F=(9//5)C+32 is the linear equation that...

`F=(9//5)C+32` is the linear equation that converts Celsius(C) to Fahrenheit (F).
(i) if the temperature is `35^(@)` then what is the temperature in fahrenheit (ii) if the temperature is `30^(@)` C then what is the temperature in fahrenheit

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To solve the problem of converting Celsius to Fahrenheit using the equation \( F = \frac{9}{5}C + 32 \), we will follow these steps for each part of the question. ### Part (i): Convert 35°C to Fahrenheit 1. **Identify the given value**: - We have \( C = 35 \) degrees Celsius. 2. **Substitute the value into the equation**: - Use the formula \( F = \frac{9}{5}C + 32 \). - Substitute \( C \) with 35: \[ F = \frac{9}{5} \times 35 + 32 \] 3. **Calculate \( \frac{9}{5} \times 35 \)**: - First, simplify \( \frac{9}{5} \times 35 \): \[ \frac{9 \times 35}{5} = \frac{315}{5} = 63 \] 4. **Add 32 to the result**: - Now, add 32 to 63: \[ F = 63 + 32 = 95 \] 5. **Final result**: - Therefore, when \( C = 35 \) degrees Celsius, \( F = 95 \) degrees Fahrenheit. ### Part (ii): Convert 30°C to Fahrenheit 1. **Identify the given value**: - We have \( C = 30 \) degrees Celsius. 2. **Substitute the value into the equation**: - Use the formula \( F = \frac{9}{5}C + 32 \). - Substitute \( C \) with 30: \[ F = \frac{9}{5} \times 30 + 32 \] 3. **Calculate \( \frac{9}{5} \times 30 \)**: - First, simplify \( \frac{9}{5} \times 30 \): \[ \frac{9 \times 30}{5} = \frac{270}{5} = 54 \] 4. **Add 32 to the result**: - Now, add 32 to 54: \[ F = 54 + 32 = 86 \] 5. **Final result**: - Therefore, when \( C = 30 \) degrees Celsius, \( F = 86 \) degrees Fahrenheit. ### Summary of Results: - (i) 35°C = 95°F - (ii) 30°C = 86°F
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