Answer:
72 pieces
Step-by-step explanation:
since 1/8 pieces would mean 8 per pie then
8*9 = 72
So 72 pieces
Answer:
Jen needs approximately 8 tiles to cover the kitchen floor
Step-by-step explanation:
What we want to calculate here is the number of tiles needed to cover the kitchen floor.
The first thing we need to do here is to calculate the area of the kitchen floor.
Mathematically, that would be the product of the length of the kitchen floor and the length of the width.
That is; 4 5/6 * 5 = 29/6 * 5 = 145/6 m^2
Now, to calculate the number of tiles needed, we only need to divide the area of the kitchen floor by the area of the individual tiles
Mathematically, that would be;
145/6 ÷ 3 = 145/6 * 1/3 = 145/18 = 8.05556
This is approximately 8 tiles
The greatest common factor is six.
First, let me introduce the general equation of the parabola:
(x-h)^2 = +/- 4a(y-k) or (y-k)^2=+/- 4a(x-h), where
(h,k) are the coordinates of the vertex
a is the distance of the vertex to the focus
4a = length of lactus rectum or the focal width
If the equation contains (x-h)^2, then the parabola passes the x-axis twice. Similarly, (y-k)^2 passes the y-axis twice. If the sign is (-), it opens to the left(if y-axis) or downward (if x-axis). If the sign is (+), it opens to the right(if y-axis) or upward (if x-axis).
The equation of the parabola is -1/12 x^2 = y. Rearranging to the general form:
x^2 = -12y
Therefore,
-4a = -12
4a = 12
a = 3, and the parabola is facing downwards.
The vertex is (0,0) at the origin.
The focus is (0,-3). Since it is negative, the focus is situated downwards, hence -3.
The directrix is the mirror image of the focus. Hence, it is a line passing +3 on the y-axis. y=3
Focal width is 4a which is equal to 12 units.
