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In-s [12.5K]
3 years ago
14

The minute hand of a clock is 6 inches long and moves from 12 to 4 o'clock. How far does the tip of the minute hand move?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0
If it moves from 12 to 4 o'clock then it moves (20/60) which is the fraction of an hour

(20/60) 37.68

simplify (20/60)

(1/3) 37.68

the answer would be 12.56 inches
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Answer: (1, 3)

Step-by-step explanation:

There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it.  For the sake of simplicity, I will solve it without the pythagorean theorem.

As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically.  Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.  

Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)

Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.

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