It is C (the one on the bottom left) because none of the X-values are used twice. On all the others their X-values are used more then once.
Answer:
a) r = √V/6π
b) r = 8 inches
Step-by-step explanation:
a) The volume V (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2 . Solve the formula for r .
Solving for r means making r the subject of the formula
= V=6πr²
Divide both side by 6π
V/6π = 6πr²/6π
r² = V/6π
r = √V/6π
b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.
r = √V/6π
V = 1206 ft³
r = √1206/6π
r = √(63.98028712294193)
r = 7.9987678503 inches
Approximately r = 8 inches
What I did was 27.99-21.59 which equals 6.40 and then times that by 12 which brings you to 76.80
Answer:
That you answer
Step-by-step explanation:
Given 3x - 2 <2x +1 3x -2x 1 + 2 x <3 or x∈(−∞,3)
The lines y=3x−2 and y=2x+1 both will intersect at x=3
Clearly, the dark line shows the solution of 3x−2<2x+1.
Answer
Find out the original side length of the square .
To prove
Let us assume that the original length of the square be x.
Formula
As given
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.
Length becomes = x + 8
Breadth becomes = x -3
The area of the resulting rectangle is 126 in²
Put in the formula
(x + 8) × (x - 3) = 126
x² -3x + 8x -24 = 126
x ²+ 5x = 126 +24
x² + 5x - 150 = 0
x² + 15x - 10x - 150 = 0
x (x + 15) -10 (x +15) =0
(x + 15)(x -10) =0
Thus
x = -15 , 10
As x = -15 (Neglected this value because the side of the square cannot be negative.)
Therefore x = 10 inches be the original side of the square.
