12(pi)
diameter is 4, so radius should be 2
closest height to equal 12(pi) would be 0.96
A=pi x r^2
Therefore the area is 25pi
Answer:
x is equal to 2.5 and -4.5
Step-by-step explanation:
-4(x + 1)² - 3 = -51
-4(x² + 2x + 1) - 3 = -51
-4x² - 8x -3 - 3 = -51
-4x² - 8x - 6 = -51
-4x² - 8x = -45
-4(x^2 + 2x) = -45
-4(x^2 + 2x + 1) = -49
-4(x + 1)² = -49
(x + 1)² = 49/4
x + 1 = ± √(49/4)
x + 1 = ± 7/2
x = -1 ± 3.5
x = 2.5, -4.5
9514 1404 393
Answer:
EF = 13.1
FD = 35.3
Step-by-step explanation:
The distance between two points on a number line is the positive difference between their coordinates.
EF = F - E = 19 -5.9
EF = 13.1
__
FD = F - D = 19 -(-16.3) = 19 +16.3
FD = 35.3
Answer:
2.5 gal would have to be replaced with 100% bleach to get the right concentration.
Step-by-step explanation:
If we drain X gal from the tank and we replace it with X gal of 100% bleach we will have in the tank: 80-X gal of 4% bleach and X gal of 100% bleach.
We can calculate the final concentration of the solution using a weighted average of the volumens where the weights are going to be the concentrations of each one:
(7%)×(80) = (4%)×(80-X) + (100%)×(X)
560 = 320-4X+100X
240 = 96X
X=2.5 gal
