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Presumably "from a direction of 53.0 degrees" means the wind is blowing approximately towards the SW or WSW. So add the airspeed, -192 j, to the wind speed, which is 13.0 (i cos(233) + j sin(233)) = -7.8236 i - 10.3823 j. The resultant speed...

2 Answers · Science & Mathematics · 22/04/2018

... are the bottom and top of the tower respectively. and A is the

**airplane**. In ΔABT : ∠BAT = 14° - 8° = 6° ∠ATB = 90...2 Answers · Science & Mathematics · 15/03/2018

300° is equivalent to -60° on the unit circle. The x-component of velocity will be 120cos(-60°) and the y-component of velocity will be 120sin(-60°). The component form is then: (v_x, v_y) = (60, -60sqrt(3)) Since cos(-60°) = cos(60°) = 1/2 And sin(-60°) = -sin(60°) = -sqrt(3)/2

2 Answers · Science & Mathematics · 02/03/2018

... no aliens. Nobody lives on other planets.

**Airplanes**that go down are hit by demons because they need the airspace to fight...3 Answers · Science & Mathematics · 03/03/2018

... no aliens. Nobody lives on other planets.

**Airplanes**that go down are hit by demons because they need the airspace to fight...5 Answers · Science & Mathematics · 03/03/2018

Draw the triangle of vectors. The hypotenuse is 225 mph, the opposite side is 46 mph, so the angle of interest is .. arcsin(46/225) ≈ 11.8° The pilot needs to use a heading 11.8° west of north, or 348.2°.

1 Answers · Science & Mathematics · 01/12/2017

y = 3 miles x = sqrt(8^2 - 3^2) = sqrt(64 - 9) = sqrt(55) miles dy/dt = 0 dx/dt = 450 miles per hour dd/dt = ? d = 8 d^2 = x^2 + y^2 2d * dd/dt = 2x * dx/dt + 2y * dy/dt 2 * 8 * dd/dt = 2 * sqrt(55) * 450 + 2 * 3 * 0 8 * dd/dt = sqrt(55) * 450 4 * dd/dt = 225 * sqrt(55) dd/dt = 225 * sqrt(55) / 4 That's in miles...

2 Answers · Science & Mathematics · 17/11/2017

Please show your working so far. Did you use the Pythagoras Theorem? s = distance between the aeroplanes t = time in hours s^2 = (100-400t)^2+(290-1160t)^2 s^2 = 1505600t^2 - 752800t + 94100 2s ds/dt = 3,011,200t-752,800 ds/dt = [1,505,6006t-376...

1 Answers · Science & Mathematics · 12/11/2017

If they sell 10 million policies, they will get incomd of 10 million dollars. They will pay out 30*100000 = $3 million. so their profit is 7 million. $7 M / 10M policies = $0.70 per policy

2 Answers · Science & Mathematics · 03/11/2017

Think of the graph of the plane's altitude at various times. It's a continuous graph. The Mean Value Theorem says that if the height was 29,710 feet at 9 am and was 18,536 feet at 3 pm, then for any specific...

1 Answers · Science & Mathematics · 14/11/2017

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