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:
6.0520
Step-by-step explanation:
Given that:
Mean = 5.85
Standard deviation = 0.24
Let N denote the 80th percentile.
P(X < N) = 0.8
Using the Excel formula: = NORM.INV(0.8,5.85,0.24)
The 80th percentile for the diameters of mandarin oranges:
= 6.0520 (to 4 decimal place)
The answer is A I think hope it helps
Solution: We are given:
The area covered by five great lakes in United States 
square miles.
The area covered by the smallest of the great lakes, Lake Ontario 
square miles.
The fraction of the area of Ontario lake to the total area of all the great lakes is:
Therefore, the simplest form of fraction is
Answer:
b=130
Step-by-step explanation:
b+(-43)=87
b+(-43+43)=87+43
b=130
Hope this helps. Have a great day, you amazing bean child.
(Yes you are now my bean child. Get over it)
