Answer:
Step-by-step explanation:
By applying the concept of calculus;
the moment of inertia of the lamina about one corner 
is:
where :
(a and b are the length and the breath of the rectangle respectively )
![I_{corner} = \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}](https://tex.z-dn.net/?f=I_%7Bcorner%7D%20%3D%20%20%5Crho%20%5B%5Cfrac%7Bbx%5E3%7D%7B3%7D%2B%20%5Cfrac%7Bb%5E3x%7D%7B3%7D%5D%5E%20%7B%5E%20a%7D%20_%7B_0%7D)
![I_{corner} = \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]](https://tex.z-dn.net/?f=I_%7Bcorner%7D%20%3D%20%20%5Crho%20%5B%5Cfrac%7Ba%5E3b%7D%7B3%7D%2B%20%5Cfrac%7Bab%5E3%7D%7B3%7D%5D)
Thus; the moment of inertia of the lamina about one corner is
Answer:
7, 3 and 0
Step-by-step explanation:
10, 3, 5, 7
Because the numbers are differ by prime numbers less than 10, i.e, the difference between the numbers are 7,5 and next will be 3.
8, 5, 4, 3.
The difference between the numbers are 3, 4 and similarly it will be differ by 5 which means next will be no. 3.
12, 6, 3, 0.
The numbers are differ by 6, 9 and next will be differ by 12 resulting the next no. 0.
Yes. Parallel means same slope as original line. So it’s 2
Answer:
0.9958
Step-by-step explanation:
P(being correct) = 1/4 = 0.25
Hence, p = 0.25
n = 19
P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
However, to save computation time, we could use a calculator :
Using a calculator,
P(x ≥ 1) = 0.99577
P(x ≥ 1) = 0.9958
Answer:
She left a $2 tip
Step-by-step explanation:
0.2*25 = 5
