Answer:
8820
Step-by-step explanation:
Prime factorization of 294,
→ 2 × 3 × 7 × 7
Prime factorization of 1260,
→ 2 × 2 × 3 × 3 × 5 × 7
LCM of 294 and 1260,
→ 2 × 2 × 3 × 3 × 5 × 7 × 7
→ 8820
Hence, the LCM is 8820.
Answer:
-291
Step-by-step explanation:
The common difference is -5
So the 60th term of the arithmetic sequence is
4+(60-1)×-5
=4+59×-5
=4+-295
=-291
Answer:
Step-by-step explanation:
You add the exponents when the number/variable is the same, so:
6+8+n= 14+n
So:
Answer:
Step-by-step explanation:
We would assume that triangle ABC is a right angled triangle. This means that we can apply Pythagoras theorem in determining the unknown side length.
For the case of the minimum side length, we would assume that the unknown length, L is one of the shorter legs of the triangle. By applying Pythagoras theorem, it becomes
11² = 9² + L²
L² = 121 - 81 = 40
L = √40 = 6.32
For the case of the maximum side length, we would assume that the unknown length, L is one of the hypotenuse of the triangle. By applying Pythagoras theorem, it becomes
L² = 9² + 11²
L² = 81 + 121 = 202
L = √202 = 14.21
The minimum side length is 6.32 and the maximum side length is 14.21
