Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
= (350 × cos 50)·i + (350 × sin 50)·j
= (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = + = 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East
Answer:
B) y=3x+7.5
Step-by-step explanation:
The equation of the data in the table can be obtained by using any two points.
We will use points (3, 13) and (5,17)
<u>The slope - intercept form is: </u>
<u>We find the slope as:</u>
- m = (17-13)/(5-3) = 4/2 = 2
<u>The equation becomes:</u>
<u>To find the value of b, the y -intercept is:</u>
- 13 = 2*3 + b ⇒ b= 13 - 6 = 7
<u>So the equation is:</u>
<u />
<h3>Now let's compare this with the options</h3>
A) y = 2x + 8.5
- The slope is 2, and y- intercept is 8.5
- It has same slope and greater y-intercept
- Answer is <u>no</u>
B) y=3x+7.5
- The slope is 3, and y- intercept is 7.5
- It has greater slope and greater y-intercept
- Answer is <u>yes</u>
C) y=5x+6.5
- The slope is 5, and y- intercept is 7.5
- It has greater slope but smaller y-intercept
- Answer is <u>no</u>
D) y=10x+5.5
- The slope is 10, and y- intercept is 5.5
- It has greater slope but smaller y-intercept
- Answer is <u>no</u>
Answer:
2%
Step-by-step explanation:
Find the sales tax rate by dividing the amount of sales tax by the original cost:
6.40/320
= 0.02
So, the sales tax rate is 2%
Answer:
2880 m
Step-by-step explanation:
find the area under the graph. i have split it into 3 areas A, B and C
A (trapezium) = 1/2 x (150 + 160) x 15 = 2325
B (trapezium) = 1/2 x (15 + 6 ) x (160 - 110) = 525
C (triangle) = 1/2 x 10 x 6 = 30
total = 2325 + 525 + 30 = 2880
