$\sin(2x + x) = \sin(2x) \cos(x) + \\ \cos(2x) \sin(x) = 2 \sin(x) { \cos(x) }^{2} \\ + \sin(x) { \cos(x) }^{2} - { \sin(x) }^{3} = \\ 3 \sin(x) { \cos(x) }^{2} - { \sin(x) }^{3} = \\ 3 \sin(x) - 3 { \sin(x) }^{3} - { \sin(x) }^{3} = \\ 3 \sin(x) - 4 { \sin(x) }^{3}$

3 0

3 years ago

An amtrak train travels at a speed of 125 miles per hour convert the speed into minutes/9611920/582d421e?utm_source=registration

Leona [35]

125 MPH = 125/60 MP(Minute) because 1 Hour = 60 Minutes
= 2.0833...Miles per minute

5 0

2 years ago

A stone is thrown at an angle of 30° above the horizontal from the top edge of a cliff with an initial speed of 12 m/s. a stop w

stellarik [79]

To solve this problem you must apply the proccedure shown below:
1. You must apply the following formula:
yo=-(Voy)t+gt²/2
2. You have that:
Voy=VoxSin(30°)
Voy=(12 m/s)(Sin(30°))
Voy=6 m/s
t=5.6 s
g=9.8 m/s²
2. When you susbtitute these values into the formula, you obtain:
yo=-(6 m/s)(5.6 s)+(9.8 m/s^2)(5.6 s)²/2
yo=120.06 m
Therefore, the answer is: 120.06 m

3 0

3 years ago