Since this problem talks about rates of change, then the concept of calculus is very useful. But first, let's find at least two equations in order to solve this system. The first one is the area of a triangle written as
A = 1/2 ab sin θ, where a and b are the sides that from the angle θ. So, we substitute a=6 and b=10. That makes it:
A = 1/2 (6)(10)sin θ = 30 sin θ
Now, you differentiate implicitly (both sides simultaneously) with respect to time.
dA/dt = 30 cosθ (dθ/dt)
We replace dθ/dt = 0.06 rad/s, as mentioned in the problem. Then, the rate of change of the area of the triangle when θ = π/3 rad with respect to time is
dA/dt = 30cos(π/3) (0.06)
dA/dt = 1.8 m²/s
Therefore, the rate of change of the area of the triangle is 1.8 m² per second.
multiply 1.8 by 4.5 then subtract from the starting temperature
1.8 *4.5 = 8.1 degree change
4.6 - 8.1 = -3.5
it was negative 3.5 degrees
Answer is B
Answer:
First for the graph, draw a line from 0 to the top right corner because she will drive 655 miles in seven hours, then for the other part, put 522.5 because 5.5 times 95 equals 522.5
Step-by-step explanation:
The most reasonable answer is D.
8.8 will round to 9 and 2.7 will round to 3, and the division will round to 3. Bruce's answer rounds to 4, so his answer is not reasonable.
