Answer: 13.
Look at the height and the x. The measurements look very similar, and since the height= 12, 13 is the closest answer to 12 out of the three given answers, so 13 is the value of x.
Barrel is assumed to be a cylinder
surface area of a cylinder=2 caps+lateral area
so
SA=2pir^2+2hpir
h=8
r=8
SA=2pi8^2+2(8)pi8
SA=2pi64+128pi
SA=128pi+128pi
SA=256pi square feet or aprox
SA=804.248 square feet is the surface area of 1barrel
24 hours in a day
24 divided by 8 = 3
400 mg times 3 doses = 1200 mg a day
mg to ounce is times 3.5274 x 10^-5
1200 times 3.5274 x 10^-5 = 0.0423288 oz
Answer:
Step-by-step explanation:
2x²-2x-12 = 2 (x²-x - 6)
but : x²-x - 6 = x² - 2(1/2)x +(1/2)² - (1/2)² - 6
= ( x - 1/2)² - 1/4 - 6
= ( x - 1/2)² - 25/4
x²-x - 6 = ( x - 1/2)² - (5/2)²
by identity ; a² - b² = (a - b ) ( a +b)
x²-x - 6 = ( x - 1/2 - 5/2) ( x - 1/2 +5/2)
x²-x - 6 = (x - 3) (x +2)
so : 2x²-2x-12 =2(x - 3) (x +2) = (2x-6)(x+2) .......(factored form)
now : 2x²-2x-12 = 0 : 2x - 6 = 0 or x+2 = 0
x= 3 or x = - 2 two solutions