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:
The slope:

Step-by-step explanation:
-To determine the slope of the following points shown, you need this formula:

(
represents the slope,
represents the first coordinate and
represents the second coordinate)
-Apply the following points to the formula:

Then, solve:


So, the slope is
.
Answer:
50cm
Step-by-step explanation:
The length of the square is the sway are root of its area.
square root of 2500 Is 50cm
Hope this helps.
Good Luck
Answer by BlueSky06
The equation described above can also be written as, y = -x² + 100x + 4000To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero. dy/dx = -2x + 100 = 0The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit. y = -(50^2) + 100(50) + 4000 = 6500Thus, the maximum profit that the company makes is $6,500/day.
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Answer:
The probability it will land on green every time is
.
Step-by-step explanation:
We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.
The pointer is spun three times.
<u>As we know that the probability of an event is described as;</u>
Probability of an event =
Here, the favorable outcome is that the spinner will land on green every time.
So, the number of green regions = 2
Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions
<em>Now, the probability it will land on green every time is given by;</em>
Probability =
=
= 
Hence, the probability it will land on green every time is
.