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!
Let's see first x-y=-3. You can find x and x=-3+y
Then you replace x in x+3y=5
-3+y+3y=5
4y=8
y=2 But you have to find x too.
x=-3+2 x=-1
The answers are x=-1, y=2
$6.84 divided by 18= .38 which means 38 cents per pen
$8.40 divided by 30= .28 which means 28 cents per pen
so $8.40 for 30 pens is a better deal than 18 pens for $6.84 by ten cents.
Answer:
Haeather ran at a speed of 5 miles per hour.
Step-by-step explanation:
Given that last week at the park Haeather ran 4 miles in 48 minutes, to determine what was Haeather rate of speed in miles per hour the following mathematical calculation must be performed:
48/4 = 12
Thus, Haeather ran 1 mile every 12 minutes.
60/12 = 5
1 x 5 = 5
Therefore, Haeather ran at a speed of 5 miles per hour.
THEOREM:
<u>Pythagorean theorem</u>:— In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
ANSWER:
By pythagorean property,
x² = 6² - 3²
x² = 36 - 9
x² = 27
x = √27 units.
So, <u>Correct choice</u> - [A] √27 units.