When he was measuring herbs on his balance scale, Neville placed a 1/2 gram weight, then a 1/5 gram weight, and finally a 1/8 gr
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Third leg.
The crew flies at a speed of 560 mi/h in direction N-20°-E.
The wind has a speed of 35 mi/h and a direction S-10°-E.
We then can draw this as:
We have to add the two vectors to find the actual speed and direction.
We will start by adding the x-coordinate (W-E axis):
and the y-coordinate (S-N axis) is:
Then, the actual speed vector is v3=(197.61, 491.76).
The starting location for the third leg is R2=(216.66, 167.67) [taken from the previous answer].
Then, we have to calculate the displacement in 20 minutes using the actual speed vector.
We can calculate the movement in each of the axis. For the x-axis:
NOTE: 20 minutes represents 1/3 of an hour.
We can do the same with the y-coordinate:
The final position is R3 = (282.53, 331.59).
To find the distance from the origin and direction, we transform the cartesian coordinates of R3 into polar coordinates:
The distance can be calculated as if it was a right triangle:
The angle, from E to N, can be calculated as:
If we want to express it from N to E, we substract the angle from 90°:
Answer: the final location can be represented with the vector (282.53, 331.59).
1) The distance from the origin is 435.63 miles and
2) the direction is N-40°-E.
Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given
- slope = m = 6
- point = (1, 3)
As we know that the equation of a line in point-slope form is
substituting the values m = 6 and point = (1, 3)
Writing the equation in slope-intercept form
where m is the slope, and b is the y-intercept
so the equation of the line in slope-intercept form becomes
add 3 to both sides
Therefore, the equation in the slope-intercept form will be: