Answer:
The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.
Step-by-step explanation:
Consider the provided information.
A chemical flows into a storage tank at a rate of (180+3t) liters per minute,
Let
is the amount of chemical in the take at <em>t </em>time.
Now find the rate of change of chemical flow during the first 20 minutes.

![\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B20%7D_%7B0%7D%20%7Bc%27%28t%29%7D%20%5C%2C%20dt%20%3D%5Cleft%5B180t%2B%5Cdfrac%7B3%7D%7B2%7Dt%5E2%5Cright%5D%5E%7B20%7D_0)


So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.
Answer:
14 cm.
Step-by-step explanation:
Let the radius of the circle = r cm.
Then circumference of circle = 2 π r.
Since circumference exceeds the radius by 74 cm
Therefore, according to the question,







- Hence, the radius of the circle is 14 cm.
________________________________
Answer:
C and D
Step-by-step explanation:
1
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
= 2π × 10 ×
=
=
cm → C
-----------------------------------------------------
2
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 10² ×
=
=
cm² → D
I think it would be the 3rd one if not im sorry i tried
According to Pythagoras theorem
a^2+b^2=c^2
similarly ,
3^2+ 4^2= 5^2
9+16=25
25=25
LHS=RHS
so angle of triangle is 30 , 60 and 90
answer is 3,4,5