An airplane is flying in a direction of 75 degrees north of east at a constant flight speed of 300 miles per hour. Th wind is blowing due west at a speed of 25 miles per hour. What is the actual direction of the airplane? Round your answer to the nearest tenth. Show your work

The resultant speed is 294.5 mi/h in a direction N79.7°E

Step-by-step explanation:

Let

East and North as the positive x and y-axis, respectively.

West and South as the negative x- and y-axis, respectively. 

step 1

Take the x- and y-components of the speeds. 

Airplane:

Wind:

step 2

Adding up the components:

step 3

Find the resultant speed

step 4

Find the direction

substitute

therefore

The resultant speed is 294.5 mi/h in a direction N79.7°E

overpriced

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.