Answer:
55 meters squared
Step-by-step explanation:
SA = sum of all the areas of the sides
The pyramid has four faces, which we have to add together:
SA = 3(long face area) + base area
Area of a triangle = 1/2 base * height
Area of the base = 1/2 * 3.5 * 4 = 7 meters squared
Area of a long face = 1/2 * 8 * 4 = 16 meters squared
Coming back to our surface area formula, we can plug those areas in:
SA = 3(long face area) + base area
= 3(16) + 7 = <u>55 meters squared</u>
Answer:
A sequence of numbers summed together
Step-by-step explanation:
A series of numbers is nothing else but the sum of the various numbers or elements of a sequences.
Answer: 9
Step-by-step explanation: sorry I don’t know
Answer:
(x + 2) (x + 4) (x^2 + 5 x + 8)
Step-by-step explanation:
Simplify the following:
(x^2 + 4 x + 8)^2 + 3 x (x^2 + 4 x + 8) + 2 x^2
(x^2 + 4 x + 8)^2 + 3 x (x^2 + 4 x + 8) + 2 x^2 = 2 x^2 + 3 x (x^2 + 4 x + 8) + 1 (x^2 + 4 x + 8)^2:
2 x^2 + 3 x (x^2 + 4 x + 8) + (x^2 + 4 x + 8)^2
The factors of 2 that sum to 3 are 2 and 1. So, 2 x^2 + 3 x (x^2 + 4 x + 8) + (x^2 + 4 x + 8)^2 = ((x^2 + 4 x + 8) + 2 x) ((x^2 + 4 x + 8) + 1 x):
(x^2 + 4 x + 2 x + 8) (x^2 + 4 x + x + 8)
Grouping like terms, x^2 + 4 x + x + 8 = x^2 + (4 x + x) + 8:
x^2 + (4 x + x) + 8 (x^2 + 4 x + 2 x + 8)
4 x + x = 5 x:
(x^2 + 5 x + 8) (x^2 + 4 x + 2 x + 8)
Grouping like terms, x^2 + 4 x + 2 x + 8 = x^2 + (4 x + 2 x) + 8:
x^2 + (4 x + 2 x) + 8 (x^2 + 5 x + 8)
4 x + 2 x = 6 x:
(x^2 + 6 x + 8) (x^2 + 5 x + 8)
The factors of 8 that sum to 6 are 4 and 2. So, x^2 + 6 x + 8 = (x + 4) (x + 2):
Answer: (x + 2) (x + 4) (x^2 + 5 x + 8)
