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a. whose statement is correct? explain. b. communicate precisely suppos…

Question

a. whose statement is correct? explain.
b. communicate precisely suppose the numbers on the clock face are removed. write instructions that another person could follow to move the minute hand from 2 to 6.

Explanation:

Brief Explanations

For part A:

  • A clock has 12 hours. The hour hand points to a number representing the hour. When the hour hand points to 7, it is 7:00.
  • The minute hand moves around the clock. Each number on the clock for the minute hand represents 5 minutes. When the minute hand points to 7, \(5\times7 = 35\) minutes. Since the hour hand moves as the minutes pass, at 8:35, the hour hand is between 8 and 9, not at 7. So Felipe is correct as at 7:00 the hour hand is at 7.

For part B:

  • The clock is a circle which is \(360^{\circ}\). There are 12 numbers on the clock, so the angle between two consecutive numbers is \(\frac{360^{\circ}}{12}=30^{\circ}\).
  • To move the minute hand from 2 to 6, we need to move it \(6 - 2=4\) intervals.
  • The angle of rotation is \(4\times30^{\circ}=120^{\circ}\) in the clock - wise direction.

Answer:

A. Felipe's statement is correct. At 7:00, the hour hand points to 7. At 8:35, the hour hand is between 8 and 9, not at 7.
B. Rotate the minute hand \(120^{\circ}\) in the clock - wise direction.