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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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A square with side length 4 cm represents 20% of a larger figure what is the area of the larger figure?
victus00 [196]
First we are going to find divided by 100 and multiply 20 is equal to four.

We are gonna use x to represent this number.

x/100 * 20 = 4

Solve for x

Therefore x = 20cm

Now that we found x the side of the larger square we are gonna find the area which is side^2.

20 * 20

Therefore the area of the larger square is 400cm^2
8 0
3 years ago
Help<br> me please asap
enot [183]

Answer:

first one:

Area of a circle = π*r²

diameter (they gave) = 30ft

radius = diameter/2 = 15ft

π*15²= 706.85834705770347865409476123789‬

to nearest tenth= 706.9 ft

second question:

circumference = 2*π*r or d(diameter)*π

diameter = 30ft

30*π = circumference = 94.247779607693797153879301498385‬

in terms of π = 30π

4 0
3 years ago
70 POINTS HELP ME URGENT SHOW YOUR WORK
Feliz [49]

Answer:

A)

x=  the number of ride tickets

y=  the total cost of admission plus how many ride tickets a person purchases

B)

y= 1.25x + 9.5

C)

It is a$1.25 per ticket for the rides at the fair, so it would be 1.25 multiplied by the amount of tickets that are purchased (x). Spencer bought 17 tickets, so 17x1.25= 21.25 and it says that he spent a total of $30.75 at the fair, so 30.75-21.25=9.5, so that means the cost of admission is $9.50.

Step-by-step explanation:

I hope this helps!

7 0
2 years ago
What is the least common denominator for 5,6,and7?
olga nikolaevna [1]

Answer:

210

Step-by-step explanation:

5 is a prime number, 6 = 2·3 and 7 is a prime number. Since those number do not have common factors, the least common multiple will be their product:5·6·7 = 210 . Given fractions are already in order from least to greatest.

7 0
3 years ago
Seventy-six percent of sunflower seeds will germinate into a flower, and a sample of 800 such sunflower seeds is randomly select
ollegr [7]

Answer:

12.08

Step-by-step explanation:

For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Seventy-six percent of sunflower seeds will germinate into a flower

This means that p = 0.76

Samples of 800:

This means that n = 800

The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.76*0.24} = 12.08

5 0
3 years ago
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