Answered

IDNLearn.com: Your reliable source for finding precise answers. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is increasing at a rate of 9 cm/s. Find the rate at which the area of the triangle changes when the height is 12 cm and the base is 4 cm.

Provide your answer below:
The rate of change of the area of the triangle is ___ cm²/s.

Sagot :

Answer:

Step-by-step explanation

Area of a triangle

      A = ½bh

dA/dt = ½(b(dh/dt) + h(db/dt)

dA/dt = ½(4(9) + 12(-5))

dA/dt = ½(36 - 60)

dA/dt = ½(-24)

dA/dt = -12 cm²/s

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.