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What is the height in meters (m) of a 5 feet (ft.) and 3 inches (in) person?

Mathematics

ScanSolve AI Answer

Answer

C

Step-by-step solution

5 steps

Here are the solutions to the questions:

Part 10

The investigation aims to determine who can throw a baseball the farthest. To make this a fair comparison, all conditions that could affect the throwing distance, other than the player's ability, should be kept constant.

  • A. Height of players: While player height can influence throwing ability, in an experiment comparing different players, their individual heights are usually considered part of their unique characteristics being tested, not a variable to be controlled unless the experiment specifically aims to study the effect of height.
  • B. Color of the baseballs thrown: The color of the baseball has no impact on how far it can be thrown.
  • C. Spot from which players throw: This is a crucial constant. If players throw from different starting points, the measured distances would not be comparable, making it impossible to accurately determine who threw the farthest from a consistent reference.
  • D. Order in which the players throw: The sequence in which players throw does not affect the physical outcome of their individual throws.

Therefore, the most important factor to keep constant for a fair comparison of throwing distance is the spot from which they throw.

The correct option is C.

  • C. Spot from which players throw.

Part 11· 5 steps

To find the height in meters, we first convert the height from feet and inches to total inches, then to centimeters, and finally to meters.

  1. Convert feet to inches.

    There are 12 inches12 \text{ inches} in 1 foot1 \text{ foot}.

    5 feet=5×12 inches=60 inches5 \text{ feet} = 5 \times 12 \text{ inches} = 60 \text{ inches}
  2. Add the remaining inches to find the total height in inches.

    Total inches=60 inches+3 inches=63 inches\text{Total inches} = 60 \text{ inches} + 3 \text{ inches} = 63 \text{ inches}
  3. Convert total inches to centimeters.

    There are 2.54 cm2.54 \text{ cm} in 1 inch1 \text{ inch}.

    Total centimeters=63 inches×2.54cminch=160.02 cm\text{Total centimeters} = 63 \text{ inches} \times 2.54 \frac{\text{cm}}{\text{inch}} = 160.02 \text{ cm}
  4. Convert centimeters to meters.

    There are 100 cm100 \text{ cm} in 1 meter1 \text{ meter}.

    Total meters=160.02 cm100cmm=1.6002 m\text{Total meters} = \frac{160.02 \text{ cm}}{100 \frac{\text{cm}}{\text{m}}} = 1.6002 \text{ m}
  5. Round to the nearest option.

    The calculated height of 1.6002 m1.6002 \text{ m} is closest to 1.6 m1.6 \text{ m}.

    The correct option is D.

    • D. 1.6m
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