Answer:
11.99 ft
Step-by-step explanation:
The formula for the volume of a cyl. of radius r and height h is V = πr²h.
Solving this immediately for h yields:
V
h = ----------
πr²
Inserting the known quantities results in:
V 1356.48 ft³
h = ---------- = ---------------------- Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft
πr² 3.14159 (6 ft)²
= 11.994 ft
The height of the cyl. is 11.99 ft (to the nearest hundredth foot)
Answer:
4x^2 + 4x + 1=9
4x^2 + 4x - 8=0
Dividing both sides by 4
x^2 + x -2=0
It can be written as
x^2 + 2x - x - 2=0
x(x+2) -1(x+2)=0
taking (x+2) as common on LHS
Then, (x+2)(x-1)=0
Now first equate x+2=0 ie x=-2
then x-1=0 ie x=1
Therefore, x has two values(roots)
that is -2,1
Answer:

Step-by-step explanation:
Let the equation of line is
, where
is the slope of the line.
It passes through
.
(<em>Slope of the line</em> joining
)
Hence slope of the given line

Equation of line is: 
The line passes through 

Check if
is on the line 

Hence line passes through
.
Check if
is on the line 

Hence line passes through
.
Answer: 19.2 inches
Step-by-step explanation:
Make a proportion:
4/25 = x/120
cross multiply
480 = 25x
Divide both sides by 25
X= 19.2