You want to make 3 pairs of earrings that are in the shape of isosceles triangles. each earring will have a base of 2 cm. the wire to make the earrings is 50 cm long. if you want to maximize the use of the wire, which of the following would represent the length of each of the other two sides?

3.1 cm

Step-by-step explanation:

We are given that

Total pairs of earrings=3

Total number of isosceles triangles=

Length of base=2 cm

Length of wire used=50 cm

We have to find the length of each of the other two sides of isosceles triangle.

Let x be the length of each of two equal sides of isosceles triangle.

Perimeter of one  isosceles triangle=Sum of length of three sides =

Perimeter of 6 isosceles triangle=

Perimeter of 6 isosceles triangle Length of wire used

Substitute the values

Hence, the length of each of the other two sides of isosceles triangle=3.1 cm

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204