Answer:
37.68cm
Step-by-step explanation:
C = 2
r
C = circumference
= the constant pi (3.14)
r = radius of the circle (6cm)
d = diameter of the circle (12cm)
d = 2r
C = 2 · 3.14 · 6
C = 37.68cm
Answer:
Step-by-step explanation:

The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of days that fluffy eats wet food in a week and y represents the number of days that fluffy eats dry food in a week.
Hence:
x + y = 7 (1)
Also, John wants to spend at most $9.00 on cat food each week. Hence:
1.5x + 0.75y ≤ 9 (2)
The list of possible points after solving graphically are:
(0,7), (6,0), (0,12) and (5, 2). If x,y > 0, then the point that satisfies the inequality is:
(5, 2) i.e. 5 wet food and 2 dry food