He walked the same distance to school and back home.
I hope this helped! :-)
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
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Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
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Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
I have no clue man or woman
Answer:
46 ≥ 2m + 4
m ≥ 21
Step-by-step explanation:
At least is ≥
Karen's age = 46 years old
Mary's age = m years old
Karen is at least 4 years more than twice mary's age (m).
46 ≥ 2m + 4
46 - 4 ≥ 2m
42 ≥ 2m
m ≥ 42/2
m ≥ 21
Answer:
a=19
Step-by-step explanation:
Since it is a parallelogram, adjacent angles are supplementary, or add to 180 degrees.
In this parallelogram, 5a+1 and 3a+27 are adjacent. Therefore, when added, they should equal 180.
5a+1+3a+27=180
Combine like terms
(5a+3a) + (1+27) = 180
8a +28 =180
Now, solve for a, by isolating it.
Subtract 28 from both sides
8a+28-28=180-28
8a=152
Divide both sides by 8
8a/8=152/8
a=19
