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:
She can type 650 words in 10 minutes.
Step-by-step explanation:
390 divided by 6 is 65. Anita types 65 words per min. 65 times 10 is 650. Therefore she types 650 words in 10 mins.
If you're wanting to know how many total hours he read, all you have to do is add the totals together.
114 + 125 = 239
Tom read for 239 hours.
Hope this helps, and is the answer you're looking for!
0.5x-9 = 4x+5
add 9 to both sides
0.5x = 4x+14
subtract 4x from each side
-3.5x =14
x = 14/*3.5
x = -4
<span>8*11 + 6y = 28
88 + 6y = 28
6y = 28 - 88
6y = -60
y = -60/6
y = -10</span>