Answer:
120.51·cos(377t+4.80°)
Step-by-step explanation:
We can use the identity ...
sin(x) = cos(x -90°)
to transform the second waveform to ...
i₂(t) = 150cos(377t +50°)
Then ...
i(t) = i₁(t) -i₂(t) = 250cos(377t+30°) -150cos(377t+50°)
A suitable calculator finds the difference easily (see attached). It is approximately ...
i(t) = 120.51cos(377t+4.80°)
_____
The graph in the second attachment shows i(t) as calculated directly from the given sine/cosine functions (green) and using the result shown above (purple dotted). The two waveforms are identical.
7.5 grams, 4 half lives so 120-60-30-15-7.5
Answer:
P (6 , -3)
Step-by-step explanation:
point P : (6 , -3)
The 60 inch is diagonal of or the hypotenuse of the TV so we are going to use a^2+b^2=c^2 and let width to be a, then we solve the problem.
a^2=c^2-b^2
oh, take the square root of both sides.
a=((c^2-b^2))^(1/2)
plug 60 for c, 32 for b, and the Width is equal to 50.75 for significant figures.