Complete the calculation so that each shows the correct sum.

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

Need help w this! will give brainliest and thanks to best answer :o) tysm<3

Montano1993 [528]

Answer:

A. They will pay more with the new price plan.

B. The new price plan would be cheaper.

Step-by-step explanation:

A. They will pay more with the new price plan.

For the current price plan, you would add the $3 rent to the two games (which are $4 each). This basically means:

$3 + $4 + $4 = $11

For the new price plan, you would add the $11 rent to the two games (which are $2 each). This basically means:

$11 + $2 + $2 = $15

Therefore, you pay more for the new price plan.

B. Using similar logic as part A, the current price plan 7 games would cost:

$3 + [7 x ($4)] = $31 (multiply by 7 since they play 7 games)

For the newprice plan, 7 games would cost:

$11 + [7 x ($2)] = $25 (multiply by 7 since they play 7 games)

Therefore, the new price plan would be cheaper.

Hope this helps :)

3 0

2 years ago

Read 2 more answers

In a experiment, the probability that event A occurs is 5/9, the probability that event B occurs is 5/7, and the probability tha

Ymorist [56]

Answer:

52.5% probability that A occurs given B occurs

Step-by-step explanation:

Suppose we have two events, A and B, the conditional probability formula is:

$P(A|B) = \frac{P(A \cap B)}{P(B)}$

In which

P(A|B) is the probability of A happening given that B happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(B) is the probability of B happening.

In this problem, we have that:

$P(A \cap B) = \frac{3}{8}, P(B) = \frac{5}{7}$

So

$P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{3}{8}}{\frac{5}{7}} = 0.525$

52.5% probability that A occurs given B occurs

7 0

3 years ago

The family's covered wagon was 6.5 feet wide, 12 feet long,

IgorLugansk [536]

Answer:

V=273

Step-by-step explanation:

V=L*W*H

V=12*6.5*3.5

V=273

5 0

3 years ago

Read 2 more answers

Modrater give me answer<br><br>if 2x- 35273 = 5361925 than find the value of 1x <br><br>

Nutka1998 [239]

Answer:

$2x - 35273 = 5361925 \\ 2x = 5361925 + 35273 \\ 2x = 5397198 \\ x = \frac{5397198}{2} \\ x = 2698599$

4 0

3 years ago

Read 2 more answers