Answer:
(-6,7)
Step-by-step explanation:
The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).
Volume of the hexagonal prism = 1732.7772 ft³
Solution:
Height of the prism (H) = 15.4 ft
Side of the hexagon base (b) = 6.58 ft
Height from center to the side length (h) = 5.7 ft.
Let us first find the area of the base.
Area of the base (B) = 

Area of the base (B) = 112.518 ft²
To find the volume of the hexagonal prism:
Volume of the hexagonal prism = Area of the base × Height
= 112.518 × 15.4
= 1732.7772 ft³
The volume of the hexagonal prism is about 1732.7772 ft³.
Answer:
85/2 or 42.5 ft²
Step-by-step explanation:
A = l x w
A = 7.5 (5 2/3)
= 15/2 (17/3)
= 255/6
= 85/2 ft² or 42.5 ft²