Answer:
New area: 12ft^2
Step-by-step explanation:
1/3 of 9 is 3
1/3 of 12 is 4
Area = l x w
so 3 x 4 = 12
<span>Lets find the volume of a cylinder with a diameter D=10 inches and lenght L= 20 inches. First we need to notice that the diameter is twice the size of the radius: D=2r. Then we write the equation for the volume of the cylinder. it is the base times the height: V=pi*r^2 * L. Now we input the nubmers in the equation: V=3.14*(D/2)^2 * L where r=D/2=5 inches and after calculating we get: V=1570 inches^3</span>
Answer:
Step-by-step explanation:
x^3 - 8x² - x + 8 =0
x^3 - 8x² - (x - 8 )=0
x²(x-8) - (x-8) = 0
(x-8)(x² -1) =0
x-8 = 0 or x² - 1 = 0
x-8=0 or (x-1)(x+1)=0
x=8 x=1 or x=-1
So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.
