<span>The individual factors for each integer along with the common factors and greatest common factor
will be shown. Factors of 18 are 1, 2, 3, 6, 9, 18. Factors of 36 are
1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 48 are 1, 2, 3, 4, 6, 8, 12,
16, 24, 48.</span>
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Answer:
The distance between the hands is √(3)cm ≈ 1.73cm.
Step-by-step explanation:
In a standard clock, the angle between every number is 30°, therefore the angle between 12 and 2 will be 30° x 2 = 60°.
Looking at the diagram, to find c we can make use of our cosine formula
c² = a² + b² –2abCos(C°)
a = 2, b = 1 and C° = 60°
Therefore we have:
c² = 2² + 1² –2 x 2 x 1 x cos(60°) =
c² = 4 + 1 – 4 x 0.5 =
c² = 5 – 2 =
c² = 3
c = √(3) ≈ 1.73
Therefore, the distance between the hands is √(3)cm ≈ 1.73cm.
Answer:
A. x < 6 and x > - 28
Step-by-step explanation:
We have been given the following inequality;
| x+11 | < 17
We can replace the absolute value function by re-writing the inequality as;
-17< x+11<17
subtract 11 from both sides;
-17-11<x+11-11<17-11
-28<x<6
splitting this we have;
x<6
x>-28