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:
variable= x
x ≤ 100
Step-by-step explanation:
it would be x ≤ 100 because it says it can hold as many AS 100, making it less than or equal to 100
Answer:
(2) (100, 300)
Step-by-step explanation:
One wave can be divided on 4 parts, as show on the picture.
Since a length of one whole wave equals 400, a length of each part is 
nanometers.
The height of the wave is decreasing on the second and on the third part, hence over the interval (100, 300).
Answer:
a = 3
b = 4
c = 5
Step-by-step explanation:
This is a rhombus. A property of a rhombus is that their diagonals perpendicularly bisect each other. In other words, if the point in the center is A, then HA = MA and EA = OA. So: 3 = a and 4 = b.
Since angle HAO forms a right angle, we can use the Pythagorean Theorem to say that HA^2 + AO^2 = OH^2: 3^2 + 4^2 = 9 + 16 = 25.
OH^2 = 25
OH = 5
Hope this helps!
