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Mademuasel [1]
3 years ago
9

Two children of mass 19 kg and 33 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. show ans

wer No Attempt If the children are separated by a distance of 3.0 m, at what distance, in meters, from the pivot point is the smaller child sitting in order to maintain the balance?
Mathematics
1 answer:
Molodets [167]3 years ago
7 0

Answer:

  1 47/52 m ≈ 1.904 m

Step-by-step explanation:

Let x represent the distance from the pivot to the smaller child. Then x-3 will be the distance to the larger child. The sum of moments about the origin (pivot point) will be zero:

  19x +33(x-3) = 0

  52x = 99 . . . . . . . eliminate parentheses, add 99

  x = 99/52 = 1 47/52

The smaller child is sitting 1 47/52 meters from the pivot point, about 1.904 m.

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3 years ago
Question 3 (Multiples and Factors] Three numbers are given below. Use prime factorisation to determine the HCF and LCM 1848 132
Ilia_Sergeevich [38]

Prime factorization involves rewriting numbers as products

The HCF and the LCM of 1848, 132 and 462​ are 66 and 1848 respectively

<h3>How to determine the HCF</h3>

The numbers are given as: 1848, 132 and 462

Using prime factorization, the numbers can be rewritten as:

1848 = 2^3 * 3 * 7 * 11

132 =  2^2 * 3 * 11

462 = 2 * 3 * 7 * 11

The HCF is the product of the highest factors

So, the HCF is:

HCF = 2 * 3 * 11

HCF = 66

<h3>How to determine the LCM</h3>

In (a), we have:

1848 = 2^3 * 3 * 7 * 11

132 =  2^2 * 3 * 11

462 = 2 * 3 * 7 * 11

So, the LCM is:

LCM = 2^3 * 3 * 7 * 11

LCM  = 1848

Hence, the HCF and the LCM of 1848, 132 and 462​ are 66 and 1848 respectively

Read more about prime factorization at:

brainly.com/question/9523814

4 0
2 years ago
Help help help answer
Mars2501 [29]

Answer:

(2,3,4,5)

Step-by-step explanation:

The domain are all real number at x-axis

So the answer is option b (2,3,4,5)

3 0
3 years ago
I just need #7. I have a lot of work to catch up on and need as much help as possible.
Katen [24]

Answer:

I think it is F

Step-by-step explanation:

5 0
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The graph represents a person's heart rate in beats per minute during 30 minutes of exercise.
Andrej [43]

Looking at the graph closely we can see that the heart rate increases from 0 to 6 min then became steady from 6 to 25 min then finally decreases from 25 to 30 min. Therefore the correct answer is:

“The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.”

 

In real life cardiac exercises, we can interpret that the period from 0 to 6 min is the period where the person is still warming up thus leading to an increase in heart rate. At 6 min, the person is fully warmed up hence reaching a stable heart rate. Then at 25 min, the person starts cooling down which means that the exercise is ending soon.

5 0
3 years ago
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