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ANEK [815]
3 years ago
14

The pendulum of an antique clock has been damaged and needs to be replaced. If the original pendulum completed one swing every 0

.7 seconds, how long should the new pendulum be?
Mathematics
2 answers:
aksik [14]3 years ago
8 0

Answer: the correct answer is 12 centimeters.

Step-by-step explanation:

Furkat [3]3 years ago
7 0
Use the pendulum equation:
T = 2 \pi \sqrt{\frac{L}{g}}
where L is length of pendulum, g is acceleration of gravity
T is period or length of time to complete 2 swings (1 cycle)

Given 0.7s to complete 1 swing, then the period is 1.4 s.
Solve for L
 2 \pi \sqrt{\frac{L}{g}}= 1.4 \\ \\ \sqrt{\frac{L}{g}} = \frac{0.7}{\pi} \\ \\ \frac{L}{g} = \frac{(0.7)^2}{\pi^2} \\ \\ L = 9.8(\frac{0.7}{\pi})^2 = 0.4865

The length of new pendulum is about 0.48 meters
You might be interested in
Jake tossed a paper cup 50 times and recorded how it landed. the table shows the results:
Darya [45]

The experimental probability of each event is as follows:

  • Landing open side up = 1/50 = 0.02 = 2%.
  • Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.
  • Landing on its side = 44/50 = 0.88 = 88%.

The experimental probability of an event is the ratio of the number of outcomes that favored the event to the total number of outcomes in the experiment.

In the question, we are given that Jake tossed a paper cup 50 times and recorded the position how it landed, which is shown in the table:

Open-sided up: 1

Closed side up 5

On the side: 44.

We are asked to determine the experimental probability of each outcome.

The number of outcomes, when the landing is open-sided up is 1.

The number of outcomes, when the landing is closed-sided up is 5.

The number of outcomes, when the landing is on the side up is 44.

The total number of times the experiment took place is 50.

Thus, the experimental probability of each event is as follows:

  • Landing open side up = 1/50 = 0.02 = 2%.
  • Landing closed side up = 5/50 = 1/10 = 0.1 = 10%.
  • Landing on its side = 44/50 = 0.88 = 88%.

Learn more about the experimental probability at

brainly.com/question/24298250

#SPJ4

5 0
2 years ago
What is b divided by b% of b? PLS HELP
34kurt

Answer:

b / (b/100×b)

= b / (b/50

= 50b/b

= 50

Step-by-step explanation:

brainliest plz

5 0
2 years ago
Read 2 more answers
Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find t
sladkih [1.3K]

Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase

6 0
3 years ago
InWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.
blondinia [14]

Answer:

General Equation of a Line

General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\  equation \\ is \\ y=\frac{-8x}{6} + 52

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

5 0
3 years ago
1. What is the value of 668 + 575 + 453, rounded to
Brums [2.3K]

Answer:

E. 1,700 is your answer.

Step-by-step explanation:

What you do is you add 668 + 575 + 453 together.

668 + 575 + 453 = 1,696.

The hundreds place is the 9. Since the 9 is bigger than 4 it gets rounded up. That means the 6 in front of the 9 becomes a 7 and 9 and 6 become a zero.

E. 1,700 is your answer.

6 0
3 years ago
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