Answer:
<u>60+14.35=88.27</u>
Step-by-step explanation:
5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.
Answer:
A
Step-by-step explanation:
using common sense you can see that the angle of c is obtuse and it would need to be smaller than angles a and b
Answer:
It should be C) 11+ 3 5/8
Step-by-step explanation:
Answer:
C and D
Step-by-step explanation:
Answer:
the amount of time until 23 pounds of salt remain in the tank is 0.088 minutes.
Step-by-step explanation:
The variation of the concentration of salt can be expressed as:
being
C1: the concentration of salt in the inflow
Qi: the flow entering the tank
C2: the concentration leaving the tank (the same concentration that is in every part of the tank at that moment)
Qo: the flow going out of the tank.
With no salt in the inflow (C1=0), the equation can be reduced to
Rearranging the equation, it becomes
Integrating both sides
It is known that the concentration at t=0 is 30 pounds in 60 gallons, so C(0) is 0.5 pounds/gallon.
The final equation for the concentration of salt at any given time is
To answer how long it will be until there are 23 pounds of salt in the tank, we can use the last equation: