What is the value of x? Then determine the measure of each angle.

Mathematics

1 answer:

IrinaK [193]2 years ago

7 0

Answer:

x = 14° || each angle has 108°

explanation:

first we need to find the total interior angle of this shape:

formula: ( n - 2 ) * 180 ..............where n is the number of sides

( 5 -2 ) * 180

540°

if all sides in the shape are equal, they must have same angle of 9x -18

5 ( 9x -18 ) = 540°

9x -18° = 108°

9x = 108° + 18°

9x = 126°

x = 14°

So each angle has: 9x - 18

9(14) - 18

108°

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A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po

Mariana [72]

Answer:

The work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

Step-by-step explanation:

The work is defined by:

$W=\int dFdx$ (1)

The force here will be the product between the volume and the kerosene weighing, so we have :

$dF=\pi R^{2}dy*50$

This force will be in-lbs.

Where R is the radius (3 feet)

Then using (1), we have:

$W=\int \pi R^{2}dy*50(8-y)$

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.

$W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)$