Answer:168
Step-by-step explanation: v=lwh
V=7x8x3
= 168
Answer:
- A (-4, -3)
- C (2, 4)
- E (3, 2)
Step-by-step explanation:
It is convenient to use technology to plot the points and the functions to see what lies where. The first attachment shows such a plot.
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Of course, you can do the function evaluations. For example, testing answer B, we find ...
... 3·6 ≤ -2·1 +18 . . . . <em>false</em> for the first equation — not a solution
Checking all the points requires 10 function evaluations. When things get repetitive like that, I like to use a graphing calculator or spreadsheet.
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<em>Using a calculator</em>
The second attachment shows a calculator evaluating the viability of each point as a solution. The equations have been rearranged to ...
- -2x -3y +18 ≥ 0
- -x +4y +12 ≥ 0
This makes it easy to look at the evaluation results to see if the solution is viable or not.
The x-values of the points are entered into list L₁ and the y-values into L₂. The result of the first inequality above is in L₃ and the result for the second inequality is in L₄. Any negative value in L₃ or L₄ shows a point that is <u>not</u> part of the solution set. Points B and D fail to match problem requirements.
Points A, C, and E are in the solution set.
Answer:
<u>The perimeter of the square is option E. 16√5 mm.</u>
<u>The area of the square is option A. 80 mm².</u>
Step-by-step explanation:
1. Let's calculate the perimeter of this square:
The perimeter of a square is the sum of its side 4 times, thus:
Perimeter = 4√5 + 4√5 + 4√5 + 4√5
<u>Perimeter = 16 √5</u>
<u>Perimeter = 4 * 4√5 = 16√5</u>
<u>The correct answer is option E. 16√5 mm</u>
2. Let's calculate the area of this square:
The area of a square is the length of its side squared, thus:
Area = (4√5)²
Area = 4√5 * 4√5
Area = (4 * 4 * √5 * √5)
Area = 16 * 5 = 80
<u>The correct answer is A. 80 mm²</u>