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Aleks [24]
3 years ago
15

What is m<KNL? Enter your answer in the box​

Mathematics
1 answer:
steposvetlana [31]3 years ago
3 0

The measurement of ∠KNL   is 102°

First, you must set up an equation to find x.

5x+2=[3(x+14)

Then, you must simplify both sides of the equation.

5x+2=3x+42

Next, subtract 3x on both sides.

2x+2=42

Then, subtract 2 on each side.

2x=40

Next, divide 2 on each side.

x=20

Now that we have the value of x, we can substitute it in for angle KNL.

[3(20+14)]

[3(34)]

102

102°

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Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits
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Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

\frac{dB(y)}{dy} =100-36y

Now we must find at which point this function is equal to zero.

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Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

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One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.


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