Answer:
103.4° or S76.6°E
Explanation:
The direction N43°E is perpendicular to the direction south-east when the plane turn 90° and heads in the south-east direction.
Since the distance 1/2 mile N43°E is perpendicular to the distance 1 mile south-east, we have a right angled triangle.
So, the angle θ between the aircraft's new position and old position is gotten from tanθ = 1 ÷ 1/2 = 2
θ = tan⁻¹(2) = 63.43°
So, the total angle from North to its new position is 40° + 63.43° = 103.43°
Since we need the south-east bearing, the angle from south is 180° - 103.43° = 76.57° ≅ 76.6°
So, our bearing is 103.4° or S76.6°E
Answer : The final energy of the system if the initial energy was 2000 J is, 3500 J
Solution :
(1) The equation used is,
where,
= final internal energy
= initial internal energy
q = heat energy
w = work done
(2) The known variables are, q, w and
initial internal energy = = 2000 J
heat energy = q = 1000 J
work done = w = 500 J
(3) Now plug the numbers into the equation, we get
(4) By solving the terms, we get
(5) Therefore, the final energy of the system if the initial energy was 2000 J is, 3500 J
D. Must be implemented using a computer.
It is possible to make scientific models without computers and/or other technology.
Answer:
The speed of stone traveling when it hits the ground = 49 m/s
Explanation:
Height of drop = 122.5 m
Given that distance the stone travels from its starting point
s(t) = 4.9t²
Substituting height
122.5 = 4.9t²
t² = 25
t = 5 seconds
So after 5 seconds stone hit the ground, we need to find velocity when t = 5 seconds.
Differentiating displacement with respect to time to get velocity,
s'(t) = 4.9 x 2 t = 9.8 t
Velocity when t = 5, s'(5) = 9.8 x 5 = 49 m/s
The speed of stone traveling when it hits the ground = 49 m/s
If the gene is dominant it would show in at least one of the parents, so it is impossible for any of there children to have freckles.
Hope this helps! :)