Applying the knowledge of fractions, the bigger one is: one-sixth of 138.
<h3>What are Fractions?</h3>
Fractions can be defined as a part of a digit or number, and are not whole numbers. For example, a third is 1/3, one-sixth is 1/6, which are both fractions.
Therefore, let's evaluate each statement:
1/3 of 45 = 1/3 × 45 = 15
1/6 of 138 = 1/6 × 138 = 23
Therefore, the bigger of the two is: one-sixth of 138.
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Answer:

Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation

Mathematically solving for total distance traveled we have


Therefore the total distance traveled by the pendulum after 5 swings

Answer:
( cos40° + isin40°)
Step-by-step explanation:
To divide

=
[ cos(x₁ - x₂) + isin(x₁ - x₂)
Given

=
( cos(90 - 50)° + isin(90 - 50)°
=
( cos40° + isin40° )