Answer:
THE PICTURE IS TO SMALL
Step-by-step explanation:
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Answer:
It will take 4 hours and 48 minutes with both pipes.
Step-by-step explanation:
Add their rates of filling
1st pipe's rate = ( 1 tank ) / ( 12 hrs )
2nd pipe's rate = ( 1 tank ) / ( 8 hrs )
Let, t = hrs to fill tank using both pipes
(1 / 12) + (1 / 8) = (1 / t)
Multiply both sides by 24t
2t + 3t = 24
5t = 24
t = 4.8
0.8 x 60 = 48
It will take 4 hours and 48 minutes with both pipes
The equation of the plane that goes through these points is:
6x + 2y + z = 10.
<h3>How to find the equation of a plane given three points?</h3>
The equation of the plane is found replacing the points into the following equation:
ax + by + c = z.
For point A, we have that:
3b + c = 4.
For point B, we have that:
a + 2b + c = 0.
For point C, we have that:
-a + 6b + c = 4.
Hence the system is:
From the first equation, we have that:
c = 4 - 3b.
Replacing in the second, we have that:
a + 2b + 4 - 3b = 0
a - b = -4.
Replacing in the third, we have that:
-a + 6b + 4 - 3b = 4.
-a + 3b = 0.
a = 3b.
We have that a - b = -4, hence:
3b - b = -4
2b = -4
b = -2.
a = 3b, hence a = -6.
c = 4 - 3b -> c = 10.
Hence the equation is:
ax + by + c = z.
z = -6x - 2y + 10
6x + 2y + z = 10.
More can be learned about the equation of a plane at brainly.com/question/13854649
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Answer:
i might be wrong but i think its 5:19
Step-by-step explanation:
