Answer:
120
Step-by-step explanation:
Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = ![4\pi](https://tex.z-dn.net/?f=4%5Cpi)
phase shift = ![\frac{-4\pi }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%5Cpi%20%7D%7B3%7D)
Vertical shift = -2
Angular velocity , w = ![\frac{2\pi }{time period}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20%7D%7Btime%20period%7D)
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = ![\pi](https://tex.z-dn.net/?f=%5Cpi)
w = 2
Phase shift = ![\frac{-\pi }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-%5Cpi%20%7D%7B3%7D)
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2
Trick question — it’s a right triangle. Here’s why:
23 + 67 = 90. All triangles have an interior angle sum of 180. 180 - 90 = 90. 90 degrees is right, and therefore, having a right angle, this is a right triangle.
Victor = y years old
Marsha = 9 years old
Marsha is 4 years younger than Victor.
Answer: y = 9 + 4
Answer:
The answer to your question is $56
Step-by-step explanation:
Data
Payment before noon = $11.20
Payment after noon = $11.20/2
Time from 9:00 to 16:00
Process
1.- Calculate the hours worked before noon and the hours worked after noon.
Before noon = 12:00 - 9 = 3 hours
After noon = 16:00 - 12:00 = 4 hours
2.- Calculate the payment
Payment = (3 x 11.2) + (4 x 11.2/2)
= 33.6 + 22.4
= $56