Rewrite the radical expression with a rational exponent

Mathematics

2 answers:

goldenfox [79]2 years ago

5 0

Answer:

Step-by-step explanation:

i took the test

yuradex [85]2 years ago

3 0

Answer:

$x^{\frac{7}{3} }$

Step-by-step explanation:

The given expression is

$\sqrt[3]{x^{7} }$

There's a exponent which relates fractional exponents and roots, that is

$\sqrt[n]{x^{m} } = x^{\frac{m}{n} }$

So, if we apply this property, the results would be

$\sqrt[3]{x^{7} }=x^{\frac{7}{3} }$

Therefore, the right answer is the third choice $x^{\frac{7}{3} }$

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Free_Kalibri [48]

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Silvio is an air-traffic controller who must calculate the altitude of an incoming plane. He sees the plane at an angle of eleva

Mrac [35]

Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let $h$ the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
$tan \alpha = \frac{opposite.side}{adjacent.side}$
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$h=3tan(40)$
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We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is $h=3tan(40)$ .