How many triangles can be constructed with angles measuring 80º, 80º, and 40º?
2 answers:
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Answer:
<em>A=3 and B=6</em>
Step-by-step explanation:
<u>Increasing and Decreasing Intervals of Functions</u>
Given f(x) as a real function and f'(x) its first derivative.
If f'(a)>0 the function is increasing in x=a
If f'(a)<0 the function is decreasing in x=a
If f'(a)=0 the function has a critical point in x=a
As we can see, the critical points may define open intervals where the function has different behaviors.
We have
Computing the first derivative:
We find the critical points equating f'(x) to zero
Simplifying by -6
We get the critical points
They define the following intervals
Thus A=3 and B=6
<h3>Answer: 9V</h3>
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Reason:
The volume expression of a cone with radius r and height h is
Let's plug in the given height h = 12 and we'd get
This is the volume of the first cone. We're told the first cone has a volume of V, so we can say
We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.
The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r
Replace every copy of r with 3r. Then simplify
The radius tripled which results in a volume that's 9 times bigger.