The altitude (or height) of a triangle is increasing at a rate of 2.5cm/min while the area of the triangle is increasing at a rate of 3cm2/min. At what rate (in cm/min) is the base of the triangle changing when the altitude is 12cm and the area is 84cm2?

Respuesta :

Answer:

[tex]2.90M\min_{min}[/tex]

Step-by-step explanation:

[tex]Cellulation:\ let\ the\ fime\\ is\ x\ m\ in\ then\ for\ the\ aftitude=12cm[/tex]

[tex]t=4.8 min[/tex]

[tex]So\ base\ is\ 84\times2\ mm\div12\ cm=14\ cm[/tex]

[tex]So\ the\ vate:\ 14\ cm\div4.\ Phin[/tex]

[tex]=2.9\cm /min[/tex]

I hope this helps you

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