Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. there is nothing to do

Step-by-step explanation: There are no solutions whenever k=4,5mod9.

This holds since it is not difficult to verify that for every integer n, we have n3=0,±1mod9.

Up till this year, there were just two values for k in the range 1..100 for which it was not known if there were a solution. These values are k=33,42.

Both values are now known to have solutions. See 42 is the answer to the question “

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'.

step-by-step explanation: