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3 years ago

Mario programs his helicopter to fly at a target with a velocity (speed and direction) of p. The direction of p is

Mathematics

1 answer:

Butoxors [25]3 years ago

8 0

Answer:

3.0 m/s
236.3°

Step-by-step explanation:

The wind speed can be found using the Law of Cosines. It will be the unknown side of a triangle with sides 6 and 5 and included angle 30°.

s^2 = 6^2 +5^2 -2·6·5·cos(30°) ≈ 9.038476

s ≈ √9.038476 ≈ 3.0064 . . . . m/s

The direction of the wind can be found from the Law of Sines, which tells us the relationship of the internal angle A to velocity vector a is ...

sin(A)/a = sin(30°)/3.0064

A = arcsin(5/3.0064·sin(30°) ≈ 56.26°

To find the desired angle, we must add 180° to this value.

The wind is blowing 3.0 m/s in direction 236.3°.

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(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

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Then, collect like terms

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Now divide both sides by 12

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Now, open the bracket

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Divide both sides by 6

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For the third inequality,

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First, clear the brackets

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Collect likes terms

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Divide both sides by 1.6

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The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

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$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

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