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laila [671]
4 years ago
15

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

Mathematics
1 answer:
LuckyWell [14K]4 years ago
3 0

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)

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8 0
3 years ago
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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Determine each segment length in right triangle .
Pani-rosa [81]

The segment length is 14 (square root)2

Given that Triangle ABC is right angle triangle

The vertex marked is B where side AC is the hypotenuse

The side of AC is at Vertex B is 14

The dash segment from vertex B to point D on side AC

Angle BDA is marked right angle .

Angles A and C both marked 45 degrees.

As shown in diagram

Triangle ABC is drawn according to the statement where B is vertex

The side lengths are 14  

Now to find Another side length that is x

So , the equation formed is

x*cos45 = 14

x/√2 = 14

x = 14√2

Hence the length of the segment is 14√2

Learn more about Right angle triangle here brainly.com/question/64787

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5 0
2 years ago
The ratio of Shauntay's cards to Jessica's cards is 5 to 3. After Shauntay gives Jessica 12 of her cards, both girls have the sa
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Answer:

They have 48 cards.

Step-by-step explanation:

let s be the number of Shauntay's cards and j be the number of Jessica's cards.

The ratio of Shauntay's cards to Jessica's cards is 5 to 3, then

(1) \frac{s}{j} =\frac{5}{3}

After Shauntay gives Jessica 12 of her cards, both girls have the same number of cards, then

(2) s-12 =j+12.

From (2), we get s= j+24. If we put j+24 instead of s in (1) we get:

\frac{j+24}{j} =\frac{5}{3}

3×j+24×3 = 5×j  From this we get;

2×j=72  and j=36

After Shauntay gives Jessica 12 of her cards, Shauntay and Jessica would have 48 cards.

4 0
3 years ago
Which reason best describes why you can divide any number by 100 by moving the decimal point two places to the left?
11111nata11111 [884]
The last choice is the reason, but to add to this, you are taking a value and breaking it into groups of 100( which is 10 groups of 10). Each place value in our decimal system naturally is based on a system of tens! Dividing by 100, is 2 groups of tens (2 decimal moves).
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4 years ago
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Number 25 by today..
Andreas93 [3]

Answer:

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A=412

so b 412 would be the answer

4 0
4 years ago
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