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!
solution:
a) The population of interest is all the adults
b) The parameter of interest is p, the proportion of adults who own a cell phone
c) The statistic is the proportion, p^, of the sample of 1572 adults who own a cell phone. The value of the sample proportion is 0.83.
d) We dont the the exact proportion with 100 % but we know that the proportion would lie in a certain range with certain degree of confidence
Answer:
dimension is 5cm * 4 cm
Step-by-step explanation:
As the plane is parallel to the base, the ratio between plane's length and width is equal to the ratio of that of the base. -> similar shape.
Moreover, it also divided the rectangular prism into 2 smaller rectangular prism. hence the plane is identical to the base. Hence, same dimension.
see photo
Answer:
A
Step-by-step explanation: