The numerical value of the mean voltage is 25.47 V
To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]
So,
![V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B%5Cpi%20%7D%20%5Cint%5Climits%5E%5Cpi%20_0%20%7BV%28t%29%7D%20%5C%2C%20dt%20%5C%5CV%20%3D%20%5Cfrac%7B1%7D%7B%5Cpi%20%7D%20%5Cint%5Climits%5E%5Cpi%20_0%20%7B40sint%7D%20%5C%2C%20dt%20%5C%5CV%20%3D%20%5Cfrac%7B1%7D%7B%5Cpi%20%7D%20%5B-40cost%5D_%7B0%7D%7B%5Cpi%20%7D%20%20%5C%5CV%20%3D%20%5Cfrac%7B1%7D%7B%5Cpi%20%7D%20-%5B40cos%5Cpi%20%20-%2040cos0%5D%5C%5C%5C%5CV%20%3D%20%5Cfrac%7B1%7D%7B%5Cpi%20%7D%20%28-%5B40%20X%20%28-1%29%20-%2040%20X%201%7D%29%5C%5CV%20%3D%20-%5Cfrac%7B1%7D%7B%5Cpi%20%7D%20%5B-40%20-%2040%5D%5C%5CV%20%3D%20%5Cfrac%7B80%7D%7B%5Cpi%20%7D%20%5C%5CV%20%3D%2025.465%20V)
V ≅ 25.47 V
So, the numerical value of the mean voltage is 25.47 V
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brainly.com/question/17928028
Answer:
It could be 11/10
Step-by-step explanation:
The drawing is missing, so i have attached it.
Answer:
24 yards
Step-by-step explanation:
From the image, we can see that AB and DE are both adjacent sides of their respective triangles.
While, CE and BC are both opposite sides of their respective triangles
Now, from your side, x is the distance to the island.
So, from ratio of similar triangles, we can find x.
Thus;
8/x = 3/9
Cross multiply to get;
8 × 9 = 3x
3x = 72
x = 72/3
x = 24
Thus, distance from your side to the island is 24 yards
Answer:
20:£1
Step-by-step explanation:
To simplify a ratio is like like simplifying a fraction
Take 4/8 as an example. Find a number you can divide both numbers with. In this case, it's 4. 4 divided by 4= 1, and 8 divided by 4= 2. So, the simplified version of 4/8 is 1/2. Similarly, with the ration 60:£3, you find the number you can divided both numbers with. In this case, it is 3. 3 divided by 3= 1, and 60 divided by 3= 20.
Final Answer: 20:£1