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trasher [3.6K]
3 years ago
8

Hello please help i’ll give brainliest

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0
Here its complete answer

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PLEASE HELP! 50 Points!
gulaghasi [49]

The bearing of the plane is approximately 178.037°. \blacksquare

<h3>Procedure - Determination of the bearing of the plane</h3><h3 />

Let suppose that <em>bearing</em> angles are in the following <em>standard</em> position, whose vector formula is:

\vec r = r\cdot (\sin \theta, \cos \theta) (1)

Where:

  • r - Magnitude of the vector, in miles per hour.
  • \theta - Direction of the vector, in degrees.

That is, the line of reference is the +y semiaxis.

The <em>resulting</em> vector (\vec v), in miles per hour, is the sum of airspeed of the airplane (\vec v_{A}), in miles per hour, and the speed of the wind (\vec v_{W}), in miles per hour, that is:

\vec v = \vec v_{A} + \vec v_{W} (2)

If we know that v_{A} = 239\,\frac{mi}{h}, \theta_{A} = 180^{\circ}, v_{W} = 10\,\frac{m}{s} and \theta_{W} = 53^{\circ}, then the resulting vector is:

\vec v = 239 \cdot (\sin 180^{\circ}, \cos 180^{\circ}) + 10\cdot (\sin 53^{\circ}, \cos 53^{\circ})

\vec v = (7.986, -232.981) \,\left[\frac{mi}{h} \right]

Now we determine the bearing of the plane (\theta), in degrees, by the following <em>trigonometric</em> expression:

\theta = \tan^{-1}\left(\frac{v_{x}}{v_{y}} \right) (3)

\theta = \tan^{-1}\left(-\frac{7.986}{232.981} \right)

\theta \approx 178.037^{\circ}

The bearing of the plane is approximately 178.037°. \blacksquare

To learn more on bearing, we kindly invite to check this verified question: brainly.com/question/10649078

5 0
3 years ago
Is y=-2/5x inverse or direct variation
liraira [26]

Answer:

direct

Step-by-step explanation:

The standard form of an equation representing direct variation is

y = kx ← k is the constant of variation

The standard form of an equation representing inverse variation is

y = \frac{k}{x} ← k is the constant of variation

y = - \frac{2}{5} x ← represents direct variation with k = - \frac{2}{5}

3 0
3 years ago
Find the surface area. Use 3.14 for pi
Tatiana [17]

Answer:

S=1444.4

Step-by-step explanation:

they already gave the formula so

13 is the height, 10 is the radius

plug it in to the formula (using 3.14 for pi)

S=2(3.14)(10)^2+2(3.14)(10)(13)

S=628+816.4

S=1444.4

5 0
3 years ago
Read 2 more answers
If f(x) = 2x2 – 2, what is<br> X, what is f(-6)<br> give the right answer for a brilliant!
NARA [144]

Answer:

f(- 6) = 70

Step-by-step explanation:

To evaluate f(- 6) , substitute x = - 6 into f(x)

f(- 6) = 2(- 6)² - 2 = 2(36) - 2 = 72 - 2 = 70

5 0
3 years ago
Help please!! Sylvia walked 3/4 miles east from her house to the bank. then she walked 1/3 mile west the gift shop. from the gif
Nostrana [21]
1,320 feet or 1/4 of a mile
8 0
3 years ago
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