Judith is digging for sandstone at a geological site. she has 160 meters of rope and 4 stakes to mark off a rectangular area. which set of dimensions will create a rectangle using all the rope judith has with her?
16 m × 10 m
80 m × 80 m
65 m × 10 m
70 m × 10 m

70 m × 10 m

Step-by-step explanation:

At a geological site, Judith is digging for sandstone. To mark off a rectangular area, Judith has 160 meters of rope and 4 stakes.

We have to choose from the given dimensions of rectangles where Judith can use all the rope she has to cover the rectangular area.

It is clear from the given conditions that the perimeter of the rectangular area should be exactly 160 meters.

So, the required dimensions of the rectangle are 70 m × 10 m, because the perimeter of this rectangle is exactly 160 meters. (Answer)

the answer is d. 75%

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