Question

Which of the following sets of numbers could not represent the three sides of a triangle?
A. {11,19,32}
B. {11,23,31}
C. {8,18,24}
D. {7,22,27}
GPT 3.5
C. {8,18,24} because the sum of the two smaller sides must be greater than the largest side in order for the numbers to represent the sides of a triangle according to the Triangle Inequality Theorem. In this case, 8 + 18 is not greater than 24, so it could not represent the sides of a triangle.
The radius of a circle is 6 ft. Find its circumference in terms of piπ.
GPT 3.5
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Given that the radius of the circle is 6 ft, we can substitute this value into the formula.

C = 2π(6)
C = 12π

Therefore, the circumference of the circle is 12π ft.
The diameter of a circle is 12 cm. Find its circumference in terms of piπ.
GPT 3.5
The circumference of a circle is given by the formula C = πd, where d is the diameter of the circle.

Given that the diameter of the circle is 12 cm, we can substitute this value into the formula.

C = π(12)
C = 12π

Therefore, the circumference of the circle is 12π cm.
The radius of a circle is 1.8 m. Find the circumference to the nearest tenthto the nearest tenth.
GPT 3.5
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Given that the radius of the circle is 1.8 m, we can substitute this value into the formula.

C = 2π(1.8)
C ≈ 11.3

Therefore, the circumference of the circle would be approximately 11.3 meters when rounded to the nearest tenth.