Answer:
the rate of change in volume is dV/dt = 4π mm³/s = 12.56 mm³/s
Step-by-step explanation:
since the volume V of a cylinder is related with the height H and the radius R through:
V = πR²*H
then the change in time is given by the derivative with respect to time t
dV/dt = (∂V/∂R)*(dR/dt) + (∂V/∂H)*(dH/dt)
the change in volume with radius at constant height is
(∂V/∂R) = 2*πR*H
the change in volume with height at constant radius is
(∂V/∂H) = πR²
then
dV/dt = 2π*R*H *(dR/dt) + πR²*(dH/dt)
replacing values
dV/dt = 2π* 2 mm * 20 mm * (-0.1 mm/s) + π (2 mm) ²* 3 mm/s = 4π mm³/s
dV/dt = 4π mm³/s = 12.56 mm³/s
Answer:
Answer D is correct
Step-by-step explanation:
1: (1, 1.25) (2, 2)
So you have your first problem, your first number is x1 while your next number in the first set of parenthesis is y1. Your next set of parenthesis will be x2 and y2 like this:
x1 y1 x2 y2
(1, 1.25) (2, 2)
Then you set up a equation like this!
x2-x1
-------Divided
y2-y1
so we now plug in the numbers and get this
2-1.25 = 0.75
--------- ---- or 0.75 BUT not 1.25 like we need!
2-1 = 1
Figure 1:
3 x 8 x 5 = 120cm³
Figure 2:
2 x 5 x 6 = 60cm³
Total Volume = 120 + 60 = 180cm³
The answer to this question would be yes, they are parameter.
Parameter is a data that can show the tendency of the sample. The example would be mean, mode, median. The parameter can be used to show how much similarity or differences between two sample.
Answer:80 mirror tiles will be needed to cover the wall is 80
Step-by-step explanation:
The dimension of one wall in living room is 8 feet by 10 feet. The wall is rectangular in shape. The area of a rectangle is expressed as
Length × width. The area of one wall in the living room would be
8 × 10 = 80 feet^2
The Williams family wants to cover one wall in their living room with 1-foot square mirror tiles.
The number of mirror tiles that they will need to cover the wall would be
80/1 = 80 mirror tiles.
