Higher Order Thinking The hands of
a clock form a angle. Name two
different times it could be.

Question

Higher Order Thinking The hands of a clock form a $$ 120^{\circ} $$ angle. Name two different times it could be.

UpStudy AI · Accepted Answer

1. At $$4{:}00$$:
   - The hour hand is at $$4 	imes 30^{\circ} = 120^{\circ}$$.
   - The minute hand is at $$0^{\circ}$$.
   - The angle between them is $$|120^{\circ} - 0^{\circ}| = 120^{\circ}$$.

2. At $$8{:}00$$:
   - The hour hand is at $$8 	imes 30^{\circ} = 240^{\circ}$$.
   - The minute hand is at $$0^{\circ}$$.
   - The smaller angle between them is $$360^{\circ} - 240^{\circ} = 120^{\circ}$$.

Thus, two different times when the clock hands form a $$120^{\circ}$$ angle are $$4{:}00$$ and $$8{:}00$$.
Two different times when the clock hands form a $$120^{\circ}$$ angle are $$4{:}00$$ and $$8{:}00$$.

Higher Order Thinking The hands of
a clock form a angle. Name two
different times it could be.

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Higher Order Thinking The hands of a clock form a angle. Name two different times it could be.

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Solución

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preguntas relacionadas

Latest Geometry Questions

Higher Order Thinking The hands of
a clock form a angle. Name two
different times it could be.