The lengths of the sides of a triangle are in the extended ratio 6: 7: 9.the perimeter of the triangle is 88cm. what is the length of the shortest side?

24 cm

Step-by-step explanation:

The triangle must have the ratio of 6:7:9 for side lengths. If the triangle had these exact sides then the perimeter would be 6 + 7 + 9 = 22 cm. Since the triangle has 88 cm as its perimeter then 22*4 = 88. This means multiplying by a scale factor of 4 will give the side length.

6 * 4 = 24

7* 4 = 28

9 * 4 = 36

The perimeter is 24 + 28 + 36 = 88 cm.

The shortest side is 24.

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