To find the combined volume, you will find the volume of each figure separately and then add them together. You will use the formulas for each polyhedra (3-D) shape.
V = 1/3 Bh (pyramid); B stands for the area of the base of the figure
V = 1/3 x 8 x 8 x 3
V = 64 cubic inches
V = Bh (prism)
8 x 8 x 4
V = 256 cubic inches
256 + 64 = 320 cubic inches
The total volume of the box is 320 cubic inches.
Answer:
x = 47°
Step-by-step explanation:
m∠DPB + ∠BPC = 180° (Definition of a straight line)
Plug in the corresponding numbers and variables to the corresponding places:
x + 133 = 180
Isolate the variable, x. Subtract 133 from both sides:
x + 133 (-133) = 180 (-133)
x = 180 - 133
x = 47
47° is your answer.
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Answer:
option D
2x4; -11
Step-by-step explanation:
Order of matrix is in form (m x n), here m is the row and n is the column of the matrix.
So this matrix have 2 rows and 4 columns
1)Order of matrix
2x4
2)
here 1 is the row and 2 is the column
-11
Each elements of the matrix can be identity as below
![\left[\begin{array}{cccc}x_{11} &x_{12} &x_{13} &x_{14} \\x_{21} &x_{22} &x_{23} &x_{24} \\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7Dx_%7B11%7D%20%26x_%7B12%7D%20%26x_%7B13%7D%20%26x_%7B14%7D%20%5C%5Cx_%7B21%7D%20%26x_%7B22%7D%20%26x_%7B23%7D%20%26x_%7B24%7D%20%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Do you know foil? FOIL= First,Outside,Inside, and Last
