Ahomeowner wants to build a fence to enclose a 180 square yard rectangular area in his backyard. along one side the fence is to be made of heavy-duty material costing $9 per yard, while the material along the remaining three sides costs $1 per yard. determine the least cost to the homeowner.

$ 366.71

Step-by-step explanation:

Given

Area of rectangular area

Let Length and Breadth be L and b yard

at one side it cost $ 9 per yard and $ 1 per yard

Area =Lb

Total cost C=9L+b

substitute the value of L i.e.

differentiate C w.r.t to b

Put  for max/min value

therefore Length

Total Cost

dont understand

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).