If the plane climbs at 12° from the ground, it is (90 - 12 = 78)° from the perpendicular line.
Let the horizontal distance be x.
sin(78) = x/500
x = 500 sin (78)
x = 487.07 feet
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Answer: The horizontal distance is 487.07 feet.
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From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, when x increases by 20, y decays by 6, hence the slope is given by:

Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at brainly.com/question/24808124
X^2-49 is a difference of two squares
Answer:
(X+7)(X-7)
Answer:
2
c
−
14 ≥ −
16
Move all terms not containing
c
to the right side of the inequality.
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2
c ≥ −
2
Divide each term by
2
and simplify.
Tap for more steps...
c ≥ −
1
The result can be shown in multiple forms.
Inequality Form:
c ≥ −
1
Interval Notation:
[−
1
,
∞
)
Answer:
<h2>thank you me and brainiest me</h2>
Step-by-step explanation:
Polynomial equation Solving for 8x + 24 = 0
standard form:8(x + 3) =0
Factorization:
8(x + 3) = 0
solutions
x = −24
8
= −3