Three neighbors plan to complete fencing projects this spring. as shown in the diagrams below, neighbor a plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. neighbor b plans to construct a circular chain link fence around his pool. and, neighbor c is putting a vinyl fence around three side of his front yard. note: diagrams are not drawn to scale. intended fences are marked with a dashed line.

wood fencing is sold in 8 foot sections for $111.50. chain link fencing costs $9.75 per linear foot (in whole foot lengths). and, vinyl fencing can be purchased for $53.55 per linear yard (in whole yard lengths).

which neighbor's fencing project will cost the most?
which neighbor's fencing project will cost the least?

- The neighbor's fencing project that will cost the most is: Neighbor A.

- The neighbor's fencing project that will cost the least is: Neighbor B.

Step-by-step explanation:

To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:

Convert yards to feet (Remember that :

You know that wood fencing is sold in 8 foot sections for $111.50, then, the number of sections for this fence will be:

≈18

Then,  the cost for this fencing project will be:

 To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:

Where r is the radius.

In this case, the radius is:

Substituting, you get:

≈126 feet

You know that the Chain link fencing costs $9.75 per linear foot, then, the cost for this fencing project will be:

To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:

Convert from feet to yards (Remember that :

You know that the vinyl fencing can be purchased for $53.55 per linear yard , then, the cost for this fencing project will be:

Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.

The neighbor's fencing project that will cost the least is: Neighbor B.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

or