Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.

Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph

Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph

Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph

The ground speed of the plane is 201.3 mph (nearest tenth)

Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.

7 0

3 years ago

Victoria is 4 years older than her neighbor. the sum of their ages is no more than 14 years.enter an inequality that can be used

elena55 [62]

V is 4 more tha x
v=4+x
sum is no more than 14
v+x≤14

sub 4+x for v
4+x+x≤14
4+2x≤14
minus 4 both sides
2x≤10
divide both sides by 2
x≤5
5+4=9

the neighboor's age is at most, 5 years
and victoria is 9 at most

7 0

2 years ago

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