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.
Answer:
m = 1/3x
Step-by-step explanation:
slope = y^2 - y^1 / x^2 - x^1
m = 4 - 5 / 3 - 6
m = -1 / -3
m = 1/3
m = 1/3x --> the slope
Answer:
405 cm^3
Step-by-step explanation:
We can find the volume by first counting the number of cubes
5+4+3+2+1 = 15
Each cube is 3 cm on a side so the volume of 1 cube is
V = 3*3*3 = 27 cm^3
We have 15 of them
15*27 cm^3
405 cm^3
Answer:
g(x) = x^2 -2.
Step-by-step explanation:
Vertical translations are represented by k, which in f(x) is equal to 6. Translating this down 8, we have a k value of -2.
Answer:
Where's your question
Step-by-step explanation:
