Answer:
6 cm
Step-by-step explanation:
The area of a parallelogram is found by
A = b*h
24 = 4*h
Divide each side by 4
24/4 = 4h/4
6 =h
Answer:
Thus we find that velocity vector at time t is
(5t+15, 5t^2/2, 4t^2)
Step-by-step explanation:
given that acceleration vector is a funciton of time and at time t
![a(t) = (5,5t, 8t)](https://tex.z-dn.net/?f=a%28t%29%20%3D%20%285%2C5t%2C%208t%29)
v(t) can be obtained by integrating a(t)
v(t) = ![(5t, 5t^2/2, 4t^2)+(u_0,v_0,w_0)\\=(5t+15, 5t^2/2, 4t^2)](https://tex.z-dn.net/?f=%285t%2C%205t%5E2%2F2%2C%204t%5E2%29%2B%28u_0%2Cv_0%2Cw_0%29%5C%5C%3D%285t%2B15%2C%205t%5E2%2F2%2C%204t%5E2%29)
Thus we use the fact that acceleration is derivative of velocity and velocity is antiderivative of acceleration.
The arbitary constant normally used for integration C is here C vector = initial velocity (u0,v0,w0)
Position vector can be obtained by integrating v(t)
Thus we find that velocity vector at time t is
(5t+15, 5t^2/2, 4t^2)
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bit. ly/3a8Nt8n
The number = y
2y + 1/3 = 2/3 - 3y
(add 3y to both sides)
5y + 1/3 = 2/3
(subtract 1/3 from both sides to isolate y)
5y = 1/3
(divide by 5)
y = 1/15
Answer:
The answer to your question is ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
Here, there is a difference of squares, so just solve it and simplify
![( 1 + \frac{1}{\sqrt{3} } ) (1 - \frac{1}{\sqrt{3} } )](https://tex.z-dn.net/?f=%28%201%20%2B%20%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D%20%29%20%281%20-%20%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D%20%29)
Multiply the binomials
= 1 - ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Simplify
= ![\frac{3 - 1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3%20-%201%7D%7B3%7D)
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)