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sergey [27]
3 years ago
14

Create an inequality in the form of Latex: px+q=r

Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0

Answer:

3x+7 \leq 11

Step-by-step explanation:

We are required to create an inequality in the form: px+q \leq r

Where p, q and r are constants and x is a variable.

Let \left\{\begin{array}{ccc}p=3\\q=7\\r=11\end{array}\right

Therefore, an example of the inequality in the form required is:

3x+7 \leq 11

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An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and
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Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

\overline {AB}  \ \| \ \overline {OC}

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\angle ABO = \angle BOC = 33^0

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

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