The given pyramid's total surface area is 3. 24.0 square feet.
Step-by-step explanation:
Step 1:
To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.
There are 3 triangles and 1 square in the figure.
Step 2:
All the triangles are similar.
The surface area of a triangle = 
The similar triangles have a base length of 3 feet and a height of 2.5 feet.
The surface area of 1 similar triangle = 
square feet.
The surface area for all the similar triangles = 
square feet.
Step 3:
The surface area of a square is the square of its side length. The square has a side length of 3 feet.
The surface area of the square = 
square feet.
Step 4:
To calculate the total surface area we sum up all the individual surface area.
The total surface area = 
square feet which is the third option.
Answer:
see explanation
Step-by-step explanation:
Given
8x - 6 > 12 + 2x ( subtract 2x from both sides )
6x - 6 > 12 ( add 6 to both sides )
6x > 18 ( divide both sides by 6 )
x > 3
Any value of x greater than 3 will be in the solution set
Partial products is breaking down every number in multiplication and adding them. Regrouping is grouping number them adding them. They are different because one is taking all the numbers broken down, while the other is just a couple of the number.
Answer:
D
Step-by-step explanation:
The recursive formula allows us to find any term in a sequence by adding the common difference d to the previous term.
Here d = - 1 - (- 7) = - 1 + 7 = 6 , then
= 
+ 6 ; a₁ = - 7
Answer:
x = 6
Step-by-step explanation:
-5(-2) + [8(-2)/4] = 10+(-16/4) = 10-4 = 6
