Answer:
a. Check the diagram
b. He walked 58 feet
c. He is 18 feet far away from the house
Step-by-step explanation:
a. Eli started inside the house an walked 12 feet (blue arrow), after that he keep walking until the mailbox for 32 feet (green arrow) and after that he came back until the dog 14 feet (red arrow).
b. For calculating how far has he walked we need to take into acount all the travel so we add all the arrows:
12ft + 32ft + 14ft =58ft
He walked 58 feet.
c. The distance from the dog to the house is determine by the substraction between the distance to the mailbox with the distance he walked to the dog then:
32ft - 14ft = 18ft.
He is 18 feet far away from the house.
1,680 inches. Hope this helped.
Answer:
Step-by-step explanation:
concentration = amount of salt/solution
A) Initial concentration= 90/1000 = 0.09
Q = quantity of salt
Q(0) = 90 kg
Inflow rate = 8 l/min
Outflow rate = 8 l/min
Solution = 1000 L at any time t.
Salt inflow = 0.045 * 8 per minute
= 0.36 kg per minute
This is mixed and drains from the tank.
Outflow = 
Thus rate of change of salt
Q'(t) = inflow - outflow = 
Separate the variables and integrate
Use the fact that Q(0) = 90
90 = 360-A
A = 270
So
B) Q(t) = 360-270e^-0.004 = 91.07784
C) When t approaches infinity, we get
Q(t) tends to 360
So concentration =360/1000 = 0.36
Answer:
Step-by-step explanation:
∠5 + ∠4 = 180°
4x° + 2x° = 180°
6x° = 180°
x = 30
5*4 + 3 = 20 + 3 = 23 the answer to the question
