Helllppp please A rancher has a three sided plot of land that will be used for grazing sheep each side length is a multiple of the 100 one side is 300 yards long and the other side of 600 yards long what is the shortest possible like the 3 sided plot of land

The shortest possible length is 400 yards

Step-by-step explanation:

To find the shortest possible length of the third side, we apply the triangle equality theorem

This states that the sum of two of the sides of a triangle must be greater than the third side for us to have a triangle being formed

Since we must have a multiple of 100, the next multiple of 100 greater than 600 is 700

So we simply subtract 300 from this so that we can get the possible length of the third side

Mathematically, this will be;

700-300 = 400

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

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