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ryzh [129]
3 years ago
8

Please help me with this question below

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer:

381 cubic inches

Step-by-step explanation:

To find the volume of the cube, use the volume formula for a rectangular prism V = l*w*h and for a triangular prism V = 1/2 l*w*h.

<u>Rectangular prism</u>

Substitute l  = 16, w = 7, and h = 3.

V = 16*7*3 =  336 cubic inches

<u>Triangular prism</u>

Substitute l = 5, w = 3 and h = 6.

V = 1/2*5*3*6 = 45 cubic inches

Together the volume will be 336 + 45 = 381.

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<u>Solution:</u>

Given, Crystal has 121 compact discs that she wants to put into boxes.  

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3 years ago
1) AU (C - B) =
torisob [31]

Answer:

A \cup (C-B) = (A \cup C) \cap  (A \cup B^c)\\A \cup (B \cap C) = (A \cup B) \cap (A \cup C) \,\,\, \text{Here you use double inclusion.}\\A \cup B \cup C =  A \cup (B \cup C)\\B^c \cap (A-C)  = (B^c - C) \cap A\\(B \cap C) - A = (B-A)\cap C\\C-(A\cup B) =  (C - A )\cap B\\A^c \cap (B \cap C) = ( A^c \cap B) \cap C

Step-by-step explanation:

A \cup (C-B) = A \cup (C \cap B^c) = (A \cup C) \cap  (A \cup B^c)\\A \cup (B \cap C) = (A \cup B) \cap (A \cup C) \,\,\, \text{Here you use double inclusion.}\\A \cup B \cup C = (A \cup B ) \cup C  = A \cup (B \cup C)\\B^c \cap (A-C)  = B^c \cap (A \cap C^c) =  (B^c \cap C^c) \cap A =  (B^c - C) \cap A\\(B \cap C) - A = (B \cap C) \cap A^c  = (B \cap C) \cap A^c = (B \cap A^c)\cap C = (B-A)\cap C\\C-(A\cup B) = C \cap (A\cup B)^c = C \cap (A^c \cap B^c ) = (C  \cap A^c )\cap B^c = (C - A )\cap B\\

A^c \cap (B \cap C) = ( A^c \cap B) \cap C

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