Suppose an airplane is flying 180 mph with a heading 25° east of south (295° measured counterclockwise from due east) when it encounters a 35 mph wind blowing steadily in a direction 15° north of east (15° measured counterclockwise from due east). Use →v to represent the speed vector of the airplane and →w to represent the speed vector of the wind. Start by drawing a head-to-tail configuration for →v and →w and the resultant vector →v+→w.

Write both →v and →w in component form. (Your answers should be in the form "< #, # >".)

→v=

→w=

Write the resultant vector →v+→w in component form.
→v+→w=

Now, write the resultant vector →v+→w in polar form. (You do not need to enter a degree symbol in your answer.)
→v+→w=

Your answer to part (c) tells us that the plane is actually moving at _ mph in the direction_  ° counterclockwise of due east.
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b

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.

i got 142 as my answer

step-by-step explanation:

c. (3,2,6) is the answer.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: