Answer:
= 

Step-by-step explanation:
let the number be x , then :
six added to twice the sum of a number and four means :

one half of the difference of three and the number means :


combining the two , we have
= 

T(x, y) = (x - 5, y - 6) since you are trying to translate back to the original point and therefor should do the reverse set of translations
Answer:
4.71
Step-by-step explanation:
Arc length = 2*pi*r-(pi*r)/2
Arc length = 3*2*(3.14)/4 = 4.71
Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is

where the b's represent the bases and the h represents the height. Filling in our values gives us

Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet