The formula of a midpoint of AB:
We have:
G(b; 0); F(3b; 2b)
substitute:
Answer: (2b, b)
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
Answer:
148
Step-by-step explanation:
3p + 85 +2p -10 =180
5p+75=180
5p=105
p=21
3p+85
3(21)+85=148
3(9)=27
27+4Y=43
subtract 27 from both sides
4Y=16
devide both sides by 4
Y=4
