Answer:
1)247 + 211 = 458
2)458 - 211 = 247
Step-by-step explanation:
Answer:
1. 24 cubic units
2. 180 cubic units
3. 1/16 cubic units
Step-by-step explanation:
<u>Question 1</u>
Volume of a rectangular prism = width × length × height
= 3 × 4 × 2
= 12 × 2
= 24 cubic units
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<u>Question 2</u>
Volume of a rectangular prism = width × length × height
= 5 × 12 × 3
= 60 × 3
= 180 cubic units
<u>Question 3</u>
Volume of a rectangular prism = width × length × height
= 1/4 × 1/2 × 1/2
= 1/8 × 1/2
= 1/16 cubic units
Answer:
-11/3, -2.25, -3/2, 0.5
Step-by-step explanation:
Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:
CX = B
So we want to solve for X (our secret message). So using matrix algebra:
X = C^-1*B
where C^-1 is the inverse of C.
C^-1 = | 3 -2 |
|4 -3 |
So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:
X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |
And since A = 1, B = 2, C = 3, etc....
We decode our message and it says:
X = | T H E C O L O |
| R I S B L U E |
So the answer is: The color is blue (D)
