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fiasKO [112]
3 years ago
14

Ig u could say free points. just answer this. and happy birthday to those like me in april. this picture is us

Mathematics
2 answers:
Kamila [148]3 years ago
8 0

Answer:

The answer is 405

Step-by-step explanation:

kotykmax [81]3 years ago
3 0

The answer is 405

Explanation Hope yall have a  great day

                                     

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Two sides of a triangle are 6 m and 10 m in length and the angle between them is increasing at a rate of 0.06 rad/s. find the ra
Soloha48 [4]
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

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Therefore, the rate of change of the area of the triangle is 1.8 m² per second.
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