in the heat of the sun, a sheet of aluminum in the shape of an equilateral triangle is expanding so that its side length increases by 1 millimeter per hourwhen the side length is 100 millimeters, how is the area increasing?
If white polymer clay turns tan you are overcooking it - and in a toaster oven that is even easier than a regular oven - do not trust the knob settings and get an oven thermometer to match the directions with the brand of clay.
Area triangle .5bh Find h, with the info you know about equilateral triangles (all angles inside are 60 degrees), divide this triangle into two of the same side (hence, two 60,30, 90 triangles)sin60 (h/b) h b(sin60) sin60 (sqrt(3))/2 h ((sqrt(3))b)/2 plug this into the area formula, A .5(b^2)((sqrt(3))/2) A (sqrt(3)(b^2))4 take the derivative dA/dt ((sqrt(3)b)/2) db/dt you have db/dt 1 millimeter/hour you have the side length b
