Answer:
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Step-by-step explanation:
sin(x)=sqrt(3)/2
This happens twice in the first rotation on our unit circle.
It happens in the first quadrant and in the second quadrant. Third and fourth quadrants are negative for sine.
So we are looking for when the y-coordinate on the unit circle is sqrt(3)/2.
This is at pi/3 and 2pi/3.
So we can get all the solutions by adding +2pi*k to both of those. This gives us a full rotation about the circle any number of k times. k is an integer.
So the solutions are
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Answer:
Step-by-step explanation:
Steps to solve:
15 = x + 13
~Subtract 13 to both sides
2 = x
Best of Luck! :D
Answer:
87.96 meters to the nearest cm.
Step-by-step explanation:
First find the circumference of the wheel
= 2 π r
= 2 π * 28
= 175.929 cm.
So one revolution is equivalent to travelling 175.929 cm.
50 revolutions = 175.929 * 50
= 8796.46 cm.
= 8796.46 / 100
= 87.96 m (answer).
<span>68=-16t2+64t+8
16t2-64t+60=0
4t2-16t+15=0
(2t-5)(2t-3)=0
t=5/2 or 3/2
The object is at 68 feet after 3/2 secs, and returns to 68 feet after another second..</span>
It is 4 because -6 [-10]=4 hope this helps you; )
