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densk [106]
3 years ago
13

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).

4 0
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:

30

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]
In all these expressions you have a power of a power. 
You can solve them simply multiplying the exponents.
Remember that any quantity raised to the zero is equal to 1.
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11) (n^4)^8 = n^(4×8) = n^32

13) (q^10)^10 = q^(10×10) = q^100

15) (x^3)^-5 = x^[3×(-5)] = x^(-15)

17) (z^8)^0z^5 = z^(8×0) z^5 = z^0 z^5 = 1×z^5 = z^5

<span> 19) (c^3)^5(d^3)^0 = c^(3</span>×5) d^(3×0) = c^15 d^0 = c^15×1 = c^15
5 0
3 years ago
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tatuchka [14]
It would be 8xy
Because you would multiply the 2 numbers together
7 0
3 years ago
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klemol [59]

Answer:

huh

Step-by-step explanation:

7 0
3 years ago
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