5x – 4y = 9<br> x - 2y = 3 <br> System of equation

the table shows the highest of four students arrange the students in order from shortest to tallest Kim 56.03 + x + 56.3 + 56.14

saul85 [17]

56.03 56.14 56.3 57.1

6 0

3 years ago

An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of

vodka [1.7K]

Answer:

Actual speed = 288 miles per hour

Actual direction angle = $116.38^\circ$

Step-by-step explanation:

"Bearing" is the relative position of an object outside the plane compared to the position of the plane.

Heading the the direction the nose of the plane is pointing.

Course is the direction that pilot wants the plane to go.

Wind direction is always the direction the wind is blowing from.

The airplane is traveling at a speed of 240 miles/hour with a bearing of 110°.

If the plane is traveling with a bearing of 110° and the wind is blown at a bearing of 325°.

$325^{\circ}- 110^{\circ} =225^{\circ}$

$215^{\circ}- 180^{\circ} =35^{\circ}$

The Ground speed will be in excess of the airspeed and true direction will be south if the indicated heading.

The tailwind component is:

$56 cos (35^\circ)$

And the cross wind component is:

$56 sin (35^\circ)$

And that is,

$C^2 = (286)^2 + (32)^2$

$c = 288$

So the actual speed of the plane is 288 miles per hour.

The deviation in the direction is:

Let the direction angle be 'x'.

$x = tan ^{-1}\left ( \frac{32}{286} \right )=6.38^\circ$

So the actual direction angle is $110^\circ+ 6.38^\circ=116.38^\circ$ .

5 0

3 years ago

What is the equation written in vertex form of a parabola with a vertex of (–1, 8) that passes through (1, 0)?

Archy [21]

Answer:

y = -2(x + 1)^2 + 8

Step-by-step explanation:

The equation of a parabola can be written in the form;

y = a(x-h)^2 + k

where a is the multiplier (h,k) is the vertex

so h = -1 and k = 8

Plug in these values

y = a(x + 1)^2 + 8

So to get the value of a, we use the point where the parabola passes through which is the point (1,0)

Simply substitute the values of x and y

0 = a(1 + 1)^2 + 8

0 = a(2)^2 + 8

-8 = 4a

a = -8/4

a = -2

So therefore the equation of the parabola is ;

y = -2(x + 1)^2 + 8

7 0

3 years ago

Are children with higher exposure to pesticides more likely to develop ADHD (attention-deficit/hyperactivity disorder)? In a stu

Aleks [24]

Answer: Based on the study, children with higher exposure to pesticides more likely to develop ADHD

Step-by-step explanation:

7 0

3 years ago

What is the value of x, if the perimeter of the rectangle is 76?<br><br> This is the problem :

krok68 [10]

Add all of the sides together which then equal 76. So it would simplify to 14x+20=76. Then 14x=56. And 56/14=4. X=4

5 0

3 years ago

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5x – 4y = 9 x - 2y = 3 System of equation