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zhenek [66]
2 years ago
6

7. If the value of x varies directly with the value of y, and x = 3 when y = 21. What is the valu

Mathematics
2 answers:
gulaghasi [49]2 years ago
6 0
So basically

When x = 3 , y= 21

3/21 = x/105

What number times 21 is equal to 105?
21* 5 = 105

So 3* 5 = 15

When x= 15, y= 105

Hope this helps!
konstantin123 [22]2 years ago
3 0

Answer:

15

Step-by-step explanation:

Because x=y÷7

i.e,105÷7=15

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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
2 years ago
“The length of the unknown side has to be greater than ___ and less than ___.” PLEASE HELP, WILL GIVE BRAINLIEST
BartSMP [9]

Answer:

7< 8

Step-by-step explanation:

8 0
2 years ago
What is the rate of change from -1 to 4?
lana66690 [7]

Answer:

5

Step-by-step explanation:

-1+(1)= 0

0+(4)=4

1+4=5

5 0
3 years ago
You're given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?
leva [86]

Answer:

One

Step-by-step explanation:

An equilateral triangle has equal side lengths.

With the given information, you can construct one equilateral triangle, with the sides measuring 7cm each.

The sides of the equilateral triangle can't be mixed up, they must stay the same.

Hope this helps.

7 0
2 years ago
3 values greater than |-3.5|
pav-90 [236]

Answer:

6.5

Step-by-step explanation:

3.5 + 3

8 0
3 years ago
Read 2 more answers
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