Answer:
Part A: 320 ft²
Part B: 2,304 ft²
Step-by-step explanation:
Part A:
Area of one triangular face of the square pyramid = ½*base*height
base = 32 ft
height = 20 ft
Area = ½*32*20
Area = 320 ft²
Part B:
Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces
= s² + 4(area of 1 triangular face)
s = 32 ft
area of 1 triangular face = 320 ft²
Total surface area = 32² + 4(320) = 1,024 + 1,280
= 2,304 ft²
Answer:
5x + 13
Step-by-step explanation:
The 2 binomials in algebraic form are
2x + 8 and 3x + 5
Summing them
2x + 8 + 3x + 5 ← collect like terms
(2x + 3x) + (8 + 5)
= 5x + 13
Answer:
Olani???
Why are you here?
(East harlem scholars academy teacher)
Step-by-step explanation:
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
The answer is 4 = P, because you have to distribute then combine like terms.
