Answer:
It could be anywhere from eight to 15 members.
Step-by-step explanation:
Answer:
A. Count the members on each team
Hurdles = ⅜ × 40 = 3 × 5 = 15
Long jump = ⅘ × 40 = 4 × 8 = 32
Let's look at the two extremes.
B. Most people will compete in only one event
Then the teams will overlap by seven members (Figure 1).
C. All those in Hurdles compete in the Long Jump
Then 15 members will compete in both Hurdles and Long Jump (Figure 2).
A = L * W
A = 54
L = 2W + 3
54 = W(2W + 3)
54 = 2W^2 + 3W
2W^2 + 3W - 54 = 0
(2W - 9)(W + 6) = 0
2W - 9 = 0
2W = 9
W = 9/2
W = 4.5 <== width
W + 6 = 0
W = -6....it wont be this one because it is negative
L = 2W + 3
L = 2(4.5) + 3
L = 9 + 3
L = 12 <==length
Answer:
y = -(1/12)(x -6)² -2
Step-by-step explanation:
The vertex of the parabola is halfway between the focus and the directrix, so has y-coordinate (-5+1)/2 = -2. The difference in the y-coordinates between the focus and the vertex is ...
p = -5 -(-2) = -3
An equation of the parabola with vertex (h, k) and focus-vertex distance p can be written:
y = 1/(4p)(x -h)² +k
For (h, k) = (6, -2) and p = -3, the equation is ...
y = (-1/12)(x -6)² -2
Answer:

Step-by-step explanation:
The trash can has a cylinder shape, so we have to calculate the volume of a cylinder.
The volume of a cylinder is given by the formula

where
V is the volume
r is the radius of the base
h is the height of the cylinder
In this problem, we have:
h = 24.90 in. is the height of the can
d = 15.50 in. is the diameter of the can, so the radius is half of this value:

Therefore, the volume of the trash can is:

Answer:
509.8
Step-by-step explanation:
The last one on 1/23