A fence is to be built to enclose a rectangular area of "200" square feet. The fence along three sides is to be made of material that costs "5" dollars per foot, and the material for the fourth side costs 15 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.

20 ft by 10 ft.

Step-by-step explanation:

Let the dimension of the rectangular enclosure be x ft by y ft

Perimeter, P(x,y)=2(x+y)=x+x+2y

Fencing material along three sides costs $5 per foot

Fencing material for the fourth side costs $15 per foot.

Therefore, Cost of Fencing=$(15x+5x+5y+5y)

C(x,y)=20x+10y

We can write the cost function as a function of one variable by substituting for y.

Recall: xy=200

Therefore:

To determine dimensions of the enclosure that is most economical to construct, we minimize C(x) by taking its derivative and solving for its critical points.

Recall that:

Therefore, the dimension of the enclosure that is most economical to construct is 20 ft by 10 ft.

ian gone lie this got me confused

step-by-step explanation:

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)