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2 years ago

what fraction of a clockwise revolution does the hour of a clock turn through when it goes from a) 4 to 7 b) 8 to 2 c) 1 to 10

Mathematics

1 answer:

sergiy2304 [10]2 years ago

3 0

Answer:

a) 3/12 = 1/4

b) 6/12 = 1/2

c) 9/12 = 3/4

Step-by-step explanation:

To find the distance traveled by the hour hand, subtract the beginning position from the ending position. For example, in a, the distance traveled between 4:00 and 7:00 is three hours. Since there are 12 total hours on a clock, the fraction would be 3/12 (traveled/whole revolution). Simplify further to get 1/4.

The other two problems are very similar to the explanation above. Treat the second problem's ending time as 14:00, since it is two hours after 12:00.

Hope this helps!

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$x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2$

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Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.

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2 years ago

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what fraction of a clockwise revolution does the hour of a clock turn through when it goes from a) 4 to 7 b) 8 to 2 c) 1 to 10 ​

what fraction of a clockwise revolution does the hour of a clock turn through when it goes from a) 4 to 7 b) 8 to 2 c) 1 to 10