Answer:
x = 13
Step-by-step explanation:
The tirangle ABC is given as equilateral. Every angle is therefore =. Not only that, each angle is 60 degrees.
If you need proof of that, remember that x + x + x = 180. Every triangle has 180 degrees.
if 3x = 180 then 1 x is 60
8x - 44 = 60 Add 44 to both sides.
8x = 60 + 44
8x = 104 Divide by 8
x = 104/8
x = 13
Answer:
A=2πrh+2πr^2
Step-by-step explanation:
It would take the faucet 18 hours to fill the tank because 18/12=1.5. That means it will be 1.5 times slower to fill the tank up with the hose on. 1.5*12=18.
Rewrite the equations of the given boundary lines:
<em>y</em> = -<em>x</em> + 1 ==> <em>x</em> + <em>y</em> = 1
<em>y</em> = -<em>x</em> + 4 ==> <em>x</em> + <em>y</em> = 4
<em>y</em> = 2<em>x</em> + 2 ==> -2<em>x</em> + <em>y</em> = 2
<em>y</em> = 2<em>x</em> + 5 ==> -2<em>x</em> + <em>y</em> = 5
This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.
Compute the Jacobian determinant for this change of coordinates:

Rewrite the integrand:

The integral is then

Answer:
50
Step-by-step explanation:
Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).