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2 answers:
Answer:
402 cm.
Step-by-step explanation:
To find this, we will need to calculate the circumference of the reel. We can do this using the formula .
Since the radius is 4 cm, the diameter is 8 cm. Put this into the equation to solve for the circumference:
Since the reel spun 16 times, simply multiply the circumference by 16 to get:
25.12 × 16 = 401.92
≈ 402 cm.
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Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus: