ANSWER
Option B
and
Option D.
EXPLANATION
The graph of the function has an amplitude of 2 and a period of
![\frac{2\pi}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%20)
Choose all the equation that has an amplitude of 2 and a period of
![\frac{2\pi}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7B3%7D%20)
These are:
![y = 2 \sin3(x - \frac{2\pi}{3} )](https://tex.z-dn.net/?f=y%20%3D%202%20%5Csin3%28x%20-%20%20%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%29%20)
and
![y = 2 \sin(3x)](https://tex.z-dn.net/?f=y%20%3D%202%20%5Csin%283x%29%20)
The second and the last options are correct.
divide the two:
52.50 / 7 = 7.50 per hour
As i can see there is a table a bove so the x is the first number which going up the graph and the y is across the line
Answer:
![\theta=41.18^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D41.18%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
![\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cdfrac%7BP%7D%7BB%7D%5C%5C%5C%5C%5Ctan%5Ctheta%3D%5Cdfrac%7B14%7D%7B16%7D%5C%5C%5C%5C%5Ctheta%3D41.18%5E%7B%5Ccirc%7D)
So, the required angle of elevation of the sun is equal to
.
Answer:
The coordinates of B' are (-3, 5).
Step-by-step explanation:
For every 90 degrees rotated, the coordinate numbers switch and one is multiplied by -1, when clockwise it's the 2nd one, and when counterclockwise, it's the 1st.