Answer:
Period = pi
Angular frequency = 2
Amplitude = 5
Midline is the line y = 3
Step-by-step explanation:
A sinusoidal wave is written in the general form as:
f(x) = A*cos(w*x) + C
Where:
- A is the amplitude.
- w is the angular frequency, this is equal to 2*pi/T
where T is the period.
- y = C is the midline.
Then in the equation:
f(x) = 5*cos(2*x) + 3
- 5 is the amplitude.
- 2 is the angular frequency (in the image is called frequency, but this quantity must be in radians/time, while the normal frequency is only in Hz)
- We know that the angular frequency is equal to 2*pi/T, whit this eqation we can find the period:
2 = 2*pi/T
T = 2*pi/2 = pi
pi is the period.
- y = 3 is the midline.
Answer:
5.48
Step-by-step explanation:
Answer:
Convert to decimals:
1.5 and 0.75
Then, set up a proportion
1.5/0.75=x/1
proportion x/y=x/y
since the 3/4 and 1 are the same topic ( the room) we put them together.
Solve: 1.5/0.75=x
x=2
So 2 gallons
Hope this helps plz hit the crown :D
Answer:
7.48m (3s.f.)
Step-by-step explanation:
Let the missing side be x m.
Applying Pythagoras' Theorem,
x² +5²= 9²
x² +25= 81
x²= 81 -25 <em>(</em><em>-25</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x²= 56
x= 7.48 (3 s.f.)
∴ The missing side is 7.48 m (3s.f.)
Cos(theta) = adjacent/hypotenuse
cos(theta) = 6/20
cos(theta) = 0.3
Use the inverse cos or cos^-1 on your calculator to get the angle
theta = 72.5
