Write a recursive formula and an explicit formula for the following arithmetic sequence
1 answer:
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Answer:
<h2>x = 5√3 inches</h2>Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
where a is the hypotenuse
Substitute the values into the above formula
The hypotenuse is 10 inches
We have
We have the final answer as
<h3>x = 5√3 inches</h3>Hope this helps you
Height of the water increasing is at rate of
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
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