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
Answer:
Check pdf
Step-by-step explanation:
For independent events,
P(X ∩ Y) = P(X)* P(Y)
=>
1/3 = P(X)*(5/6)
solve for P(X) =>
P(X) = (1/3)*(6/5) = 2/5 = 0.4
Answer:
I have gotten 216/61, but I am not sure if this is right.
Step-by-step explanation:
By using the "Keep It, Change It, Flip It" tactic, I was able to come up with an answer and simplify it.
1. Keep the original divisor.
162/3
2. Change the sign.
Division becomes multiplication.
3. The last fraction is reciprocated.
61/4 becomes 4/61.
The diagram of the lawn and the shed is shown below.
The area of the lawn needed to be mowed equals to the area of the yard minus the area of the shed
The area of the yard =
The area of the shed =
The area of the lawn =
The area of the lawn =
The area of the lawn =
