We are to solve the total area of the pyramid and this can be done through area addition. We first determine the area of the base using the Heron's formula.
A = √(s)(s - a)(s - b)(s - c)
where s is the semi-perimeter
s = (a + b + c) / 2
Substituting for the base,
s = (12 + 12 + 12)/ 2 = 18
A = (√(18)(18 - 12)(18 - 12)(18 - 12) = 62.35
Then, we note that the faces are just the same, so one of these will have an area of,
s = (10 + 10 + 12) / 2 = 16
A = √(16)(16 - 12)(16 - 10)(16 - 10) = 48
Multiplying this by 3 (because there are 3 faces with these dimensions, we get 144. Finally, adding the area of the base,
total area = 144 + 62.35 = 206.35
<h3>
Answer: 8</h3>
=====================================
Work Shown:
It will take 8 hours for the population to reach 196,608 bacteria.
Answer: second option.
Step-by-step explanation:
Given the transformation 
→
You must substitute the x-coordinate of the point A (which is 
) and the y-coordinate of the point A (which is 
) into to find the x-coordinate and the y-coordinate of the image of the point A.
Therefore, you get that the image of A(2,-1) is the following:
You can observe that this matches with the second option.
Answer: the answer is 10
Step-by-step explanation:
w=61, the equation is w=(456-a-b-c)/2, so the work would look like 456-132-94-108=122/2=61
