Answer:
the rate of change of the area is Ra= 80 mm² per second
Step-by-step explanation:
the area of a rectangle (A) is
A = L * W , L= length and W= width
if the width remains constant the change in the area is only due to the change in length , thus:
ΔA = Δ( L * W ) = W * ΔL , where ΔA represents the change in area and ΔL represents the change in length
ΔA = W ΔL
denoting Δt as the time required to change, and dividing both sides by Δt
ΔA/Δt = W ΔL/Δt
where Ra=ΔA/Δt = rate of change of the area and RL=ΔL/Δt rate of change of the length.
thus
Ra = W * RL
replacing values
Ra = W * RL = 8 mm * 10 mm/second = 80 mm² /second
You can multiply either the top or bottom equation by -1 so lets say you apply it to the bottom equation it’ll look like this:
-9x + 9y = 18
6x - 9y = 12
then the +9y and -9y will cancel out
-9x = 18
6x =12
then you add the two equations together
-3x = 30
divide both sides by -3
x = -10
Answer:
<em>P = 37 units</em>
Step-by-step explanation:
Answer:240.5
Step-by-step explanation:
Angle C = 87°(calculated)
AB=C
AC=220=b
Sine laws c\sin87=220\66
c=240.5
Answer:
257142857143 / 100000000000.
Step-by-step explanation:
2.57142857143
= 2 + 57142857143 / 100,000,000,000
= 200,000,000,000 + 57142857143 / 100,000,000,000
= 257142857143 / 100000000000.
