Answer:
dilation
Step-by-step explanation:
whenever the shape is dilated, or scaled by a factor of any number, the shape will change size and will become similar rather than congruent. congruent shapes have the same dimensions as the parent or original shape.
Answer:
Here you go ! Hope it helps.
If you want to solve for x you have to get x alone on one side of the equals sign. In order to do that you have to get rid of the stuff on the same side by doing the opposite operation so that it cancels. What you do on one side you do on. the other side to keep the equation true.
y= abx
a and b are being multiplied by x so divide by ab to cancel them out (ab/ab is 1).
y= abx/ab (ab cancels)
now divide the other side by ab to keep the equation true.
y/ab= x
multiplying both sides by x^2
simplifying
dividing by 7
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
