Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
Answer:
Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle plus the area of two semicircles
<u>The area of rectangle is equal to</u>
<u>The area of the small semicircle is equal to</u>
-----> radius is half the diameter
substitute
<u>The area of the larger semicircle is equal to</u>
-----> radius is half the diameter
substitute
The area of the figure is equal to
Answer:
4x2 + 7x - 6
————————————
x - 2
Step-by-step explanation:
Answer: 0.4
Step-by-step explanation: 3/4 - 1/3 = 5/12
converted to decimal: 5 ÷ 12 = 0.4
