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1 answer:
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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.
Answer:
Area = 48.6 in²
Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)
This rule is illustrated in the attached image.
Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²
Hope this helps :)
Area = 48.6 in²
Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)
This rule is illustrated in the attached image.
Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²
Hope this helps :)