Final answer:
The question involves solving various problems that include converting yard to feet and inches, liquid volume conversion, interpreting scale maps, and calculating distances.
Step-by-step explanation:
The question seems to be asking for missing measurements or calculations related to various scenarios involving distances or dimensions. To find the missing numbers, one must apply mathematical principles appropriate to the context. Below are the answers to some of the scenarios provided:
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- Yard to feet conversion: As we know, 1 yard is equal to 3 feet. Therefore, the length of the garden which is 4 yards will be 12 feet when converted.
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- Yard to inches conversion: Similarly, 1 yard is 36 inches. If the width of the garden is 4 yards, it equals 144 inches.
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- Liquid volume conversion: There are 4 cups in a quart. A saucepan that can hold 2 quarts can therefore hold 8 cups of water.
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- Cutting a recipe in half: If the original recipe requires 2 pints of milk and we cut it in half, we need 1 pint. Since there are 2 cups in a pint, Jorge will need 2 cups of milk.
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- The problem regarding the actual distance between two buildings or dimensions on a map is a scale factor problem. You use the provided scale to calculate the real-life dimension.
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- Calculating the fourth side of a plot: The farmer wants to create a closed shape plot, so the sum of the vectors representing each side must equal zero. Once A, B, and C are known, side D can be calculated using vector addition to close the plot.
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- For a scale drawing problem, the scale factor represents the ratio of the scaled measurement to the actual measurement. You can set up a proportion to find the unknown measurement.
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- The question involving a straight-line distance after walking on a two-dimensional path is a Pythagorean theorem problem, where the distance traveled east and north represents the legs of a right triangle and the straight-line distance is the hypotenuse.