Quick ! exponential modelling
the temperature (t) of a dish t minutes after it is removed from the microwave, is given by:

a) what is the initial temperature of the dish?
b) what is the temperature after,
(i) 12 minutes
(ii) 36 minutes

a) 77 degrees Celsius

bi) 40.45066 degrees Celsius

bii) 24.0764 degree Celsius

Step-by-step explanation:

I'm assuming the temperature function is:

.

a) The initial temperature can be found by replacing t with 0.

bi) We are to replace t with 12:

Just put right hand side into the calculator as:

55*(0.913)^12+22 which should output 40.45066 approximately.

bii) We are to replace t with 36:

Putting right hand side into calculator as 55*(0.913)^36+22 gives:

24.0764 approximately.

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b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.