A joined figure with a half circle with a radius of 3ft and a triangle with a base of 6ft and a height of 7ft. The total area is a design for a mini golf corse and the turf is $1.50 per square ft

While it says they are joined, we will have to solve them as seperate shapes then add the area at the end.

Since we have a half circle and a triangle, the formulas for the areas are as follows

Half-Circle

it is the regular circle formula, but divided by 2, since it is half the size of a regular circle

(pi*r^2)/2

Triangle

it is the formula for the area of a triangle, being base times height divided by 2

(b*h)/2

Plug in the numbers into the appropriate variables, then add. you should get a total area of 49.274 ft^2. Then you just multiply the final area by the $1.50 to get the cost of the mini gold course.

rick would give her the best deal as he will charge $8.88 per hour

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.