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Use dimensional analysis to conver the quantity to the indicated units. 12 inches (in.) \( =1 \) foot 27 in . to ft 3 feet \( =1 \) yard 36 inches \( =1 \) yard 5280 feet \( =1 \) mile \( \square \) ft (Round to the nearest hundredith as needed.)

Ask by Mcfarlane Medina. in the United States
Mar 20,2025

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Answer

\(27\) inches is approximately \(2.25\) feet.

Solution

**Step 1. Write the conversion factor.** We know that \[ 12\, \text{in} = 1\, \text{ft} \] so we can write the conversion factor as \[ \frac{1\, \text{ft}}{12\, \text{in}}. \] **Step 2. Multiply the given quantity by the conversion factor.** We start with \(27\, \text{in}\) and multiply by the conversion factor: \[ 27\, \text{in} \times \frac{1\, \text{ft}}{12\, \text{in}}. \] **Step 3. Compute the result.** The inches cancel out, leaving: \[ \frac{27}{12}\, \text{ft} \approx 2.25\, \text{ft}. \] **Step 4. State the final answer.** Rounded to the nearest hundredth, \[ 27\, \text{in} \approx 2.25\, \text{ft}. \]

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To convert 27 inches to feet, we start with the conversion factor that 12 inches equals 1 foot. We set up the conversion as follows: \( 27 \, \text{in.} \times \frac{1 \, \text{ft}}{12 \, \text{in.}} = \frac{27}{12} \, \text{ft} \approx 2.25 \, \text{ft} \). So, 27 inches is approximately 2.25 feet when rounded to the nearest hundredth. Now, for a little fun with conversions! Did you know that the inch has a storied history? The length of an inch originates from the width of a man's thumb. So next time you measure something, you’re literally using a piece of history at your fingertips! Also, feet are commonly used in a variety of real-world applications, especially in construction and architecture. Understanding these conversions can be incredibly helpful when you’re measuring out rooms, planning floors, or even in DIY projects – every inch (and foot) counts!

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