Answer:
The work done to pump all of the kerosene from the tank to an outlet is
Step-by-step explanation:
The work is defined by:
(1)
The force here will be the product between the volume and the kerosene weighing, so we have :

This force will be in-lbs.
Where R is the radius (3 feet)
Then using (1), we have:
Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.




Therefore, the work done to pump all of the kerosene from the tank to an outlet is
I hope it helps you!
Answer:
The end result is -1/(x + 1)
Step-by-step explanation:
In order to find the answer to this, we first need to factor the denominator. Since it is a quadratic, we try to find number that multiply to the last term (8) and add to the middle term (9). In this case, the numbers 8 and 1 would work. This allows us to use those numbers in parenthesis along with x as a fully factored form.
x^2 + 9x + 8 = (x + 1)(x + 8)
Now that we have this factored we can take the original equation and factor a -1 out of the top.
(-1)(x + 8)/(x + 1)(x + 8)
Since there is an (x + 8) on the top and bottom, we can cancel those.
-1/(x + 1)
Volume of the carton = 1000 cubic inches. Dimensions of a carton are 10"×10"×10"
Answer:
Cos A = (√51)/ 10
Step-by-step explanation:
sin is opposite/hypothenuse
cos is adjacent/hypothenuse
Pythagorus theorem says that c² = a² + b²
10² = 7² + b²
b² = 100 - 49
b = ±√51
It doesn't make sense for a length to be a minus number therefore, we will use +√51.
Cos A = (√51)/ 10
Tell me if I am wrong.
Can I get brainliest
Answer:
1250 3 x28
Step-by-step explanation:
5000
4
x8
3
x20