The cube can contain 1000 cm^3 of water
<h3>How to determine the amount of water?</h3>
The side length is given as:
L = 10 cm
The amount of water it can contain is calculated as;
V =L^3
So, we have:
V = 10^3
Evaluate
V = 1000
Hence, the cube can contain 1000 cm^3 of water
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Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.
3. Given: If a number is divisible by 4, then the number is divisible by 2. 12 is divisible by four.
Conclusion: 12 is divisible by 2.
SOLUTION:
If p → q is a true statement and p is true, then q. Here, a number divisible 4 is divisible by 2 also and 12 is divisible by 4. So, 12 is divisible by 2 is a valid statement by the Law of Detachment.
ANSWER:
valid; Law of Detachment
4. Given: If Elan stays up late, he will be tired the next day. Elan is tired.
Conclusion: Elan stayed up late.
SOLUTION:
If p is true, then q is true, but q being true does not necessarily mean that p is true. Elan could be tired because he worked out. So, the statement is invalid.
ANSWER:
Invalid; Elan could be tired because he worked out.
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Answer:
Perimeter is 38.8 units and approximately 39 units
Step-by-step explanation:
Given: Graph
To find: perimeter of the polygon
Solution:
Distance between points 
is given by 
As per the graph,
point P is (-2,11)
point Q is (-4,6)
point R is (2,0)
point S is (1,7)
point T is (8,7)
Perimeter refers to sum of lengths of all the sides.
Perimeter = 
Or approximately 39 units
The slope-intercept form is simply the way of writing the equation of a line so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent. Often, this form is called y = mx + b form.
