Answer:
5.73cm
Step-by-step explanation:
Given parameters:
Circumference of the circle = 36cm
Unknown
Length of the radius = ?
Lets represent the radius by r
Solution
The circumference of a circle is the defined as the perimeter of a circle. The formula is given as:
Circumference of a circle = 2πr
Since the unknown is r, we make it the subject of the formula:
r = 
r = 
= 
= 5.73cm
The answer is 1 over 3(3.14)(5²)(8)
The volume of the cylinder (V1) is:
V1 = π · r² · h (r - radius, h - height)
The volume of the cone (V2) is:
V2 = 1/3 π · r² · h (r - radius, h - height)
It is given:
r = 5 feet
h = 8 feet
π = 3.14
Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8 which is the same as 1 over 3(3.14)(5²)(8).
PART A
The equation of the parabola in vertex form is given by the formula,
where
is the vertex of the parabola.
We substitute these values to obtain,
The point, (3,6) lies on the parabola.
It must therefore satisfy its equation.
Hence the equation of the parabola in vertex form is
PART B
To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.
This implies that
We expand to obtain,
This will give us,
This equation is now in the form,
where
This is the standard form
Answer:
answer Z
Step-by-step explanation:
Look for a graph that contains the following zeros: x = 1, x = 2 , x= 3, following the info derived by the binomial factors that the function contains. Also look ate the fact that the function in question has for leading term positive 
, then this function must go towards plus infinity when x becomes large. This is the case for the graph option Z (the last graph of the group)
