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
Answer:
5
Step-by-step explanation:
Use the exponent rule
Simplifying the top of the fraction
5^2*5*5^3=5^2+1+3=5^6
Simplifying the bottom of the fraction 5^4*5=5^4+1=5^5
Our simplified fraction is 5^6/5^5, which is just 5^6-5 which is 5^1 or 5.
Therefore, the answer is 5.
40% of (times) X
4/10 of (times) X or 2/5 or .4
145 (times) .4 which is 58
