To solve this question, you would need to find the common denominator among the 2 fractions. In this case it would be

72.

Then multiply numbers to both of the fractions to get to the bottom number in both fractions equaling 72.

40/72 + 27/72 =67/72.

Try to reduce to lowest terms by dividing a common number from both of them if possible.

5 0

2 years ago

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What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?

LuckyWell [14K]

Answer:

The length of the pendulum is 14.13 meters.

Step-by-step explanation:

The length of a pendulum is given by the formula, $T = 2\pi \sqrt{\frac{L}{g} }$ , where T is the times period and L is the length of the pendulum.

Now, given that T = 2.4π seconds.

So, from the above equation, we get,

$2.4\pi = 2\pi \sqrt{\frac{L}{g} }$

⇒ $\sqrt{\frac{L}{g}} = 1.2$

⇒ $\frac{L}{g} = 1.44$ {We have the value of g as 9.81 m/sec²}

⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)

Therefore, the length of the pendulum is 14.13 meters. (Answer)

3 0

2 years ago