Multiple choice

When the time is 4:20, the angle between the hands of the clock is.

  1. $20^o$
  2. $15^o$
  3. $12 \frac{1^o}{2}$
  4. $10^o$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Angle = |30H - 5.5M|. H=4, M=20. Angle = |30*4 - 5.5*20| = |120 - 110| = 10 degrees.

AI explanation

Using the clock angle formula, the angle between the hands equals the absolute value of 30 times the hours minus 5.5 times the minutes. Substituting 4 for the hours and 20 for the minutes yields 30 multiplied by 4 minus 5.5 multiplied by 20, which is 120 minus 110. The absolute value of this difference is 10 degrees. The angle between the hands of the clock is 10 degrees.

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