The minute hand of a clock is 7 in. Long how far does the point of the hand travel in 60 minutes?
1 answer:
Answer:
Step-by-step explanation:
60 minutes is one hour, which is all the way around the outside of the clock one time. This distance is represented by the circumference of a circle, assuming that the clock is in fact circular. The formula for the circumference of a circle in terms of the radius is
Our radius is 7, so the distance around the outside of that particular clock (and how far the minute hand travels if it goes around the clock one time) is
or
C = 14π
If you want the decimal equivalency for that, multiply in pi as 3.1415 and round to whatever place you need. In decimal form, that is
C = 43.9 inches
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Answer:
Solution Given:
To find the simplest form we need to open bracket
-2x²(3x²-2x-6)
-2x²*3x²-2x²*(-2x) -2x²*(-6)\
is a required answer.
Here we need to compare the orders of magnitude of two measures.
We will see that the bacteria is<em> 300 times larger than the virus.</em>
We know that:
The diameter of the virus-cell is:
The diameter of the bacteria cell is:
So, to compare them, first notice that both are in the same units, meters, so we only need to <u>compare the numbers</u>.
Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus <u>the bacteria should be the larger one.</u>
But let's prove this with math, remember the property:
Let's take the quotient between the diameters and see what we get, I will use the <u>diameter of the bacteria in the numerator</u>, thus <u>if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.</u>
So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.
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