Answer:
The diameter of the floor is 6 yards
Step-by-step explanation:
Here, we are to calculate the diameter of a circular floor that has a circumference of 18.84 yards
Mathematically,
C = π * D
where C is the circumference
Plugging the values of the circumference , we have ;
18.84 = 22/7 * D
7 * 18.84 = 22D
D = (7* 18.84)/22 = 5.99 which is approximately 6 yards
Answer:
Step-by-step explanation:
11 t= -5 17 r = 27
12 n= -1 18 k = -20
13 m=-5
14 x= - 11
15 y = 70
16 f = - 70
Answer:
16 rooms
Step-by-step explanation:
To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder:

where

is the volume

is the radius

is the height
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:

. We also know that the radius is r cm and height is h cm, so

and

. Lets replace the values in our formula:





Next, we are going to use the formula for the area of a cylinder:

where

is the area

is the radius

is the height
We know from our previous calculation that

, so lets replace that value in our area formula:



By the commutative property of addition, we can conclude that:
Answer:
y = -2(x + 1)^2 + 8
Step-by-step explanation:
The equation of a parabola can be written in the form;
y = a(x-h)^2 + k
where a is the multiplier (h,k) is the vertex
so h = -1 and k = 8
Plug in these values
y = a(x + 1)^2 + 8
So to get the value of a, we use the point where the parabola passes through which is the point (1,0)
Simply substitute the values of x and y
0 = a(1 + 1)^2 + 8
0 = a(2)^2 + 8
-8 = 4a
a = -8/4
a = -2
So therefore the equation of the parabola is ;
y = -2(x + 1)^2 + 8