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Galina-37 [17]
2 years ago
14

30-60-90 triangle..find the value of x?

Mathematics
1 answer:
harkovskaia [24]2 years ago
5 0

Answer:

A. y = 9√3

Step-by-step explanation:

The relationship of the sides of the triangles are as follows:

First leg = x

Second leg = x√3

Hypotenuse = 2x

Since we know the first leg is 9, multiply that by √3.

Therefore, y = 9√3.

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Using the quotient rule:
f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}
f'(x) = \frac{1 - lnx}{x^{2}}

For maximum, f'(x) = 0;
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(b) <em>Deduce:
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<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
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Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
\frac{x}{e} \geq lnx
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e^{x} \geq e^{ln(x^{e}})
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