Answer:
132 square units
Step-by-step explanation:
First, I would figure out the areas of the right triangles
Left triangle: 1/2(6x8) =24 units²
Right triangle: 1/2(8x3) = 12 units²
entire rectangle between triangles: 12x8 = 96 units²
add all areas together: 24+12+96 = 132 units²
Answer:
200 minutes ; 3 hours and 20 minutes.
Step-by-step explanation:
If you write a proportion in the form
miles/minutes = miles/minutes
you would get 3/50 = 12/x
from there you cross multiply to get
3x=600, and solve that to get 200 minutes.
another way was to see that 12 is 3*4, and multiply 50 by 4 to get the same answer.
Answer:
dy/dt = - (1/5) ft/s = - 0.2 ft/s
Step-by-step explanation:
Given
L = 5 ft
Qin = 25 ft³/s
Qout = 30 ft³/s
h = 10 ft
dy/dt = ?
We can apply the relation
ΔQ = Qint - Qout = 25 ft³/s - 30 ft³/s
⇒ ΔQ = - 5 ft³/s
Then we use the formula
Q = v*A
where Q = ΔQ, A = L² is the area of square base and v = dy/dt is the rate of change in the depth of the solution in the tank
⇒ ΔQ = (dy/dt)*L²
⇒ dy/dt = ΔQ/L²
⇒ dy/dt = (- 5 ft³/s)/(5 ft)²
⇒ dy/dt = - (1/5) ft/s = - 0.2 ft/s
Answer:
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Step-by-step explanation:
