Each of those angles are Inscribed angles. A useful fact is that the measure of the intercepted arc of an inscribed angle is twice the measure of the angle.
The intercepted arc of ∠C is arc BED. The intercepted arc of ∠E is arc BCD.
m(arc BED) + m(arc BCD) = 2( m∠C + m∠E)
The two arcs combined make u p the entire circle, so the sum of their measures is 360.
360 = 2(m∠C + m∠E)
180 = m∠C + m∠E
The angles are supplementary.
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
Learn more about mean volatage here:
brainly.com/question/17928028
Answer:
x=7−√10 or x=7+√10
Step-by-step explanation:
−5(x−7)2+30=−20
Step 1: Simplify both sides of the equation.
−5x2+70x−215=−20
Step 2: Subtract -20 from both sides.
−5x2+70x−215−(−20)=−20−(−20)
−5x2+70x−195=0
For this equation: a=-5, b=70, c=-195
−5x2+70x+−195=0
Step 3: Use quadratic formula with a=-5, b=70, c=-195.
x=
−b±√b2−4ac
2a
x=
−(70)±√(70)2−4(−5)(−195)
2(−5)
x=
−70±√1000
−10
x=7−√10 or x=7+√10
Answer:
y=(7)^x represents the exponential growth
