Two sides of a triangle are 8 m and 10 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is π 3 rad.

The area of the triangle is increasing at a rate 1.2 m²/s.

Step-by-step explanation:

Given sides of a triangle are 8 m and 10 m in length.

The angle between the sides of the triangle is increasing at a rate 0.06 rad/s.

It means

If the sides of a triangle are a and b and θ is the angle of the sides.

The area of the triangle is A =

Here, a = 8 m and b = 10 m

Differentiating with respect to t

putting the value of

                =1.2 m²/s

The area of the triangle is increasing at a rate 1.2 m²/s.

725 parts per hour.

step-by-step explanation:

hi there, this answer is actually really simple.

you can set it up as 1450/2 or 3625/5 to find the answer.

they want to know how much per hour is being made, so you just divide.

1450/2=725.

and that's how many are produced per hour.

hope this . : )

were is the equation