Subjects unit conversion

Unit Conversions 10Ecd9

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1. **State the problem:** Calculate how many days you have been alive if it is your 13th birthday, assuming no leap years. 2. **Formula and explanation:** The number of days alive is the number of years multiplied by the number of days in a year. $$\text{Days alive} = \text{Years} \times 365$$ 3. **Calculation:** $$13 \times 365 = 4745$$ 4. **Answer:** You have been alive for **4745 days**. 1. **State the problem:** Convert the height of a telephone pole from centimeters to kilometers, rounding to the nearest 100-thousandth. 2. **Formula and explanation:** To convert cm to km, divide by 100,000 because: $$1 \text{ km} = 1000 \text{ m} = 1000 \times 100 \text{ cm} = 100,000 \text{ cm}$$ 3. **Calculation:** $$\frac{1067}{100,000} = 0.01067$$ 4. **Answer:** The pole is **0.01067 km** tall. 1. **State the problem:** Convert 1 mile to inches. 2. **Formula and explanation:** $$1 \text{ mile} = 5280 \text{ feet}$$ $$1 \text{ foot} = 12 \text{ inches}$$ So, $$1 \text{ mile} = 5280 \times 12 = 63360 \text{ inches}$$ 3. **Answer:** You have to run **63360 inches** to complete a 1 mile run. 1. **State the problem:** Convert 7,598 feet to miles, rounding to the nearest hundredth. 2. **Formula and explanation:** $$1 \text{ mile} = 5280 \text{ feet}$$ To convert feet to miles: $$\text{miles} = \frac{\text{feet}}{5280}$$ 3. **Calculation:** $$\frac{7598}{5280} \approx 1.43826$$ Rounded to the nearest hundredth: $$1.44$$ 4. **Answer:** 7,598 feet is approximately **1.44 miles**.