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3 years ago

What is the value of x

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

Answer:

X=14

Step-by-step explanation:

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Brianna spots an airplane on radar that is currently approaching in a straight line,

yuradex [85]

Using the slope concept, it is found that the distance the plane traveled from point A to point B is of 14,475 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

At point A:

Altitude of 6700 feet, which is the vertical change.

The horizontal position we want to find is $x_A$ .

The angle is of 16º.

Hence:

$\tan{16^{\circ}} = \frac{6700}{x_A}$

$x_A = \frac{6700}{\tan{16^{\circ}}}$

$x_A = 23365.7$

At point B:

Altitude of 6700 feet, which is the vertical change.

The horizontal position we want to find is $x_B$ .

The angle is of 37º.

Hence:

$\tan{37^{\circ}} = \frac{6700}{x_B}$

$x_B = \frac{6700}{\tan{37^{\circ}}}$

$x_B = 8891.2$

Then, the distance is of:

$d = x_A - x_B = 23365.7 - 8891.2 \approx 14475$

You can learn more about the slope concept at brainly.com/question/26342863

8 0

2 years ago

Rahul, a coach at a local school has collected data on his players. But in an accident he lost how many games each player partic

Arada [10]

Answer:

Michael played 4 games, Sherry played 6 games and Rashad played 5 games

Step-by-step explanation:

Let X, Y and Z represents the number of games for the three players.

Based on the given information, three equations can be formed -

30 X + 25 Y + 20 Z = 370 ---(1)

X + Y + 2Z = 20 ---(2)

2X + 5Y + 4 Z = 58 ---(3)

From Equation (2), X = 20 -Y-2Z

Substituting value of X from equation 2, in equation 1 and 2, we get -

30 (20-Y-2Z) + 25 Y + 20 Z = 370

600 -30Y-60Z + 25 Y + 20 Z = 370

-5Y -40Z = -230

Y + 8Z = 46 ----(4)

2(20-Y-2Z) + 5Y + 4 Z = 58

40 -2Y-4Z + 5Y + 4 Z = 58

3Y = 18

Y = 6

Substituting value of Y in equation 4, we get -

8Z = 46-6

8Z = 40

Z = 5

Substituting value of Y and Z in equation 2 we get

X + 6 + 2* 5 = 20

X = 20-16 = 4

Hence, Michael played 4 games, Sherry played 6 games and Rashad played 5 games

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3 years ago

Find the slope of the line. (-2, 1) ) (2, 1) 3-2-1

lisabon 2012 [21]

Answer:

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Step-by-step explanation:

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