Answer:
The area of the base of the pyramid is 109.2 mm.
Step-by-step explanation:
The area of the base of a hexagonal pyramid is given by the area of a hexagon:
Where:
P: is the perimeter
a: is the apothem
We need to find the perimeter and the apothem.
The perimeter is equal to:
Where:
s: is the side of the pyramid
And the apothem is:
So, to calculate the apothem and the perimeter we need to calculate the side of the pyramid. We can find it from the volume of the pyramid:
Where:
h: is the height = 4 mm
V: is the volume = 144 mm³
Then, the side is:
Now, we can find the perimeter and the apothem.
Finally, the area is:
Therefore, the area of the base of the pyramid is around 109 mm.
I hope it helps you!
Answer:
y = 12x - 13
Step-by-step explanation:
The two points you want the line through are ...
... (-4, h(-4)) = (-4, -61)
and
... (2, h(2)) = (2, 11)
The 2-point form of the equation of a line is applicable. For (x1, y1) and (x2, y2), the equation is
... y = (y2-y1)/(x2-x1)·(x-x1) +y1
... y = (-61-11)/(-4-2)·(x -2) + 11 . . . . putting in the point values
... y = 12(x -2) + 11 . . . . . . . . . . . . . simplify
... y = 12x -13 . . . . . . . . . . . . . . . . . eliminate parentheses, collect terms
Its greater by a factor of 2^2 ( = 4)
Its 4 times the area of the original square.
If you are trying to simplify then you would have to combine like terms
3kgx296g+5kg+326g (there is no sign between 3kg and 296 so i am assuming that is multiplied)
add 3kg+5kg and get 8kg
add 296g+326g and get 622g
So the equation would be 8kg*622g
Hope this helped!! :D