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:
50.3 mm
Step-by-step explanation:
The perimeter of the shaded region = perimeter of a full circle + 2(Length)
= πd + 2(L)
diameter (d) = width = 9 mm
Length (L) = 11 mm
Perimeter of the shaded region = π*9 + 2(11)
= 50.2743339 ≈ 50.3 mm (nearest tenth)
Answer:
what do we have to solve? surface area? volume?
He used 7 pints all together because there at 2 cups in each pint and 4 pints in a half a gallon.
You never told us how much money he has