Simplify the expression. Justify each step.

Mathematics

1 answer:

Verizon [17]3 years ago

6 0

True it is correct! Your work is well justified. :)

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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.
$tan \alpha = \frac{opposite.side}{adjacent.side}$
$tan(40)= \frac{h}{3}$
$h=3tan(40)$
$h=2.5miles$

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 $h=3tan(40)$ .

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3 years ago

On a particular map of Denmark, 1 inch represents 12 miles. What does 2 in a half inches on the map represent? Write a number se

Rufina [12.5K]

Answer:

Step-by-step explanation:

1 inch / 12 miles = 2.5 inch / x Cross multiply

1*x = 12 * 2.5 Combine

x = 30 miles

6 0

2 years ago

Simplify Expression-

kumpel [21]

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You can solve them simply multiplying the exponents.
Remember that any quantity raised to the zero is equal to 1.
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tatuchka [14]

It would be 8xy
Because you would multiply the 2 numbers together

7 0

3 years ago

Read 2 more answers

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klemol [59]

Answer:

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