A cylindrical hot tub, with a diameter of 12 ft and height of 6 ft, is partially filled with 500 ft3 of water.
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Which of the following conjectures is false?
Solution: The false conjecture is:
J. The sum of two odd numbers is odd
Explanation:
F. The product of two even numbers is even.
For example: Let us take two even numbers 4 and 6.
The product of two even numbers is:
Therefore, the product is also even number. Hence the conjecture is true.
G. The sum of two even numbers is even.
For example: Let us take two even numbers 4 and 6.
The sum of two even numbers is:
Therefore, the sum is also even number. Hence the conjecture is true.
H. The product of two odd numbers is odd.
For example: Let us take two odd numbers 3 and 5.
The product of two odd numbers is:
Therefore, the product is also odd number. Hence the conjecture is true.
J. The sum of two odd numbers is odd.
For example: Let us take two odd numbers 3 and 5.
The sum of two odd numbers is:
Therefore, the sum is not an odd number. Hence the conjecture is false.
The length of one side of the square base is 8.5 centimeters.
<u>Given the following data:</u>
- Volume of cuboid = 867 cm
- Height = 12 cm
To find the length of one side of the square base:
Mathematically, the volume of a cuboid is given by the formula:
×
Substituting the given values, we have:
×
Base area = 72.225
Now, we can find the length by using the formula:
<em>Length</em><em> = </em><em>8.5 centimeters</em>.
Therefore, the length of one side of the square base is 8.5 centimeters.
Find more information: brainly.com/question/11037225