the diagram shows a sector of a circle with centre o. the radius of the circle is 8 cm. the point p on oa is such that 2op=3qr a
nd the point q on ob is such that 4oq=3qb. given that angle aob =0.8 radians. calculate giving your answer correct to 2 decimal places. a)the length of the arc ab. b)the length of the line pq. c)the area of the shaded region
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
The formula for calculate the volume of a cylinder is:
Where "r" is the radius and "h" is the height.
Make the conversion from inches to feet. Since ,you get:
So in this case you can identify that:
Then, substituting them into the formula and simplifying you get:
Therefore, the expression for the volume of L feet of drainage tubing, in cubic feet is:
Answer:
the mathematical model is :
Step-by-step explanation:
Given that:
Let A(t) to be the amount of oil in the barrel at time t.
However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.
Then,
Initially the 100 -gallon barrel is half-full of oil
So, A(0) = 100/2 = 50
The variable is now being separated as:
Taking integral of both sides; we have:
However; since A(0) = 50; Then
t = 0 ; A =50 in the above equation
Thus; the mathematical model is :