154 + 74 = 228 is the answer.
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.
Answer:
2 4/9
Step-by-step explanation:
You need to divide the two fractions.
You need to multiply 11/4 by the reciprocal of 9/8.
11/4 times 8/9
You can simplify first.
11 times 2/9
22/9
Simplify to
2 4/9
Answer:
B
Step-by-step explanation:
add all of last year's and then divide by 3 witch is 3.1
add all of this year's and then divide by 3 witch is 4.1
now subtract witch will give you 1.0
