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arlik [135]
3 years ago
7

Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on

the swing set takes nearly the same amount of time, about 2.7 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenths place.
Mathematics
1 answer:
mel-nik [20]3 years ago
7 0
You didn't include the formula.

Given that there is no data about the mass, I will suppose that the formula is that of the simple pendulum (which is only valid if the mass is negligible).

Any way my idea is to teach you how to use the formula and you can apply the procedure to the real formula that the problem incorporates.

Simple pendulum formula:

Period = 2π √(L/g)

Square both sides

Period^2 = (2π)^2 L/g

L = [Period / 2π)^2 * g

Period = 3.1 s
2π ≈ 6.28
g ≈ 10 m/s^2

L = [3.1s/6.28]^2 * 10m/s^2 =2.43 m

Hope this helps you!!!!

<span><em>Ps: Please mark brainliest!!!! I am only a few away from ranking up, it would help a lot, and I will make a shoutout for you!! </em></span>


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John works two jobs. As a security guard he earns $8.50 per hour. As a landscaper he earns $14 per hour. One week John worked a
Rashid [163]

Answer:

John work as a security guard job <u>27 hours</u> and as a landscaper <u>33 hours</u>.

Step-by-step explanation:

Given:

John works two jobs.

As a security guard he earns $8.50 per hour and as a landscaper he earns $14 per hour.

One week John worked a total of 60 hours and earned $691.50.

Now, to find hours he work at each job.

Let the job of security guard be x hours.

And the job of landscaper be y hours.

So, the total hours John worked in a week:

x+y=60.

⇒ y=60-x.............( 1 )

<em>Now, the money earned by John in a week:</em>

8.50x+14y=691.50

<em>Putting the equation ( 1 ) in the place of y:</em>

⇒ 8.50x+14(60-x)=691.50

⇒ 8.50x+840-14x=691.50

<em>Moving variables on one side and the other we get:</em>

⇒ 840-691.50=14 x-8.50x

⇒148.50=5.50x

<em>Dividing both sides by 5.50 we get:</em>

⇒ 27=x

<u>As a security guard job he worked 27 hours</u><u>.</u>

Putting the value of in x equation ( 1 ) we get:

y=60-27

⇒ y=33.

<u>As a landscaper he worked 33 hours</u>.

Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.

5 0
3 years ago
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3 years ago
A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st
Marta_Voda [28]

Answer:

<u>Approximately 16 tablets of medicine</u>

Step-by-step explanation:

Based on the information above , we can use a <u>Rule of Three</u> to first figure out how many mg the cat would need to ingest per day.

\frac{5mg}{1kg} = \frac{x}{4.5kg}

\frac{5mg*4.5kg}{1kg} = 22.5mg

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

22.5 / 10 = 2.25

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

2.25 * 7 = 15.75

She would need to take<u> approximately 16 tablets of medicine</u> during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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3 years ago
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