Anna is throwing a fair die with 12 faces what is the probability that the number of dots on the top face is a factor of 4
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Circumference of a circle is C = 2πr.
part 1)
so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.
what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?
part 2)
since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.
now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?
part 1)
so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.
what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?
part 2)
since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.
now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?
To find the mid-way number we do this:
find the difference between the highest number and the lowest given number.
Divide the difference by 2
Add that number to the lowest number or subtract that number from the highest number.
20,000 - 4,632 = 15,362
= 7,684
4,632 + 7,684 = 12,316
or (we get the same number)
20,000 - 7,684 = 12, 316
12,316 is between 4,632 and 20,000
find the difference between the highest number and the lowest given number.
Divide the difference by 2
Add that number to the lowest number or subtract that number from the highest number.
20,000 - 4,632 = 15,362
4,632 + 7,684 = 12,316
or (we get the same number)
20,000 - 7,684 = 12, 316
12,316 is between 4,632 and 20,000