Answer: 27.7 square inches.
Step-by-step explanation:
Let 'a' be the side of equilateral triangle.
Then the perimeter of the triangle = a+a+a=3a
Given: Perimeter of the equilateral triangle = 24 inches We know that the area of a equilateral triangle is given by :-
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:
the answer to your question is b
<span>1.</span>divide
P(x) by (x-1) to get the quadratic equation... from which can be solve
using any method in finding the roots of quadratic equation....
2 true
branlist pls
