The answer to each question is:

How much money do my friends spend on hobbies? "Yes"
How many stamps has Valerie collected? "Yes"
Does Lisa like knitting or karate better? "No"
How much time do my friends spend doing their hobbies? "Yes"

Hope this helps! :)

8 0

4 years ago

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An airplane is flying in a direction of 75° north of east at a constant flight speed of 300 miles per hour. The wind is blowing

Nutka1998 [239]

Answer:

79.7°

Step-by-step explanation:

We resolve the speed of the plane into horizontal and vertical components respectively as 300cos75° and 300sin75° respectively. Since the wind blows due west at a speed of 25 miles per hour, its direction is horizontal and is given by 25cos180° = -25 mph. We now add both horizontal components to get the resultant horizontal component of the airplane's speed.

So 300cos75° mph + (-25 mph) = 77.646 - 25 = 52.646 mph.

The vertical component of its speed is 300sin75° since that's the only horizontal motion of the airplane. So the resultant vertical component of the airplane's speed is 300sin75° = 289.778 mph

The direction of the plane, Ф = tan⁻¹(vertical component of speed/horizontal component of speed)

Ф = tan⁻¹(289.778 mph/52.646 mph)

Ф = tan⁻¹(5.5043)

Ф = 79.7°

6 0

3 years ago