Answer:
Step-by-step explanation:
The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:
where:
is the area of the base, where
L is the length of the base
is the area of each triangular face, where
h is the height of the face
Substituting,
For the model in this problem,
L = 12
h = 8
Therefore, the surface area here is:
The solution to the inequality 6m + 2 > -27 is m > -4.33
The solution to the inequality 8(p-6)>4(p-4) is p > 8
The given inequality is:
6m + 2 > - 27
Subtract 2 to both sides of the inequality
6m + 2 - 2 > -27 - 2
6m > -29
Divide both sides by 6
For the inequality 8(p-6)>4(p-4)
Expand the inequality using the distributive rule
8p - 48 > 4p - 16
Collect like terms
8p - 4p > -16 + 48
4p > 32
Divide both sides of the inequality 4
The solution to the inequality 6m + 2 > -27 is m > -4.33
The solution to the inequality 8(p-6)>4(p-4) is p > 8
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