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Rashid [163]
3 years ago
12

1. Use the Law of Levers to solve the problem, x1y1=x2y2.

Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0
1)  Never heard of someone referring to the Law of Levers before, must be showing my age.  A system as you describe is at equilibrium when the net torque is equal to zero. Since torque is Fr=mgr so for this system we have a sum of:

27g*10+30g*x=0  The sum must be zero to be at equilibrium, dividing both sides by g you have:

270+30x=0

270=-30x

x=-9

The negative just indicates that the magnitude of 9 is on the opposite side of the fulcrum, so x=9ft in magnitude.

2)  Inverse variation is of the form y=k/x, in this case we are given a point so we can solve for the constant, k, of variation...

y=k/x, and we are given y=-12 when x=5 so

-12=k/5

k=-60  so the equation is:

y=-60/x which can be expressed as

xy=-60


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Which of the following is a trinomial with a constant term?
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Option D x+2y+10 .

A trinomial with a constant term will have three terms, and one of those terms will be a constant, which is a number.

we also know about the Constant

A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

Some relatable terms are :

Monomial: Polynomial having a single term.

Binomial: Polynomial having two terms.

Trinomial: Polynomial having three terms.

In given option we'll define

in option A there is no constant .

option B there i sonly given x which is also not constant.

further in option c it is simply binomial in which only two terms are given without constant .

so at last conclusion is in option D there are three terms are given with one constant which is number 10 .

x+2y+10 is trinomial with a constant.

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8 0
2 years ago
Use the figure to find the measure of angle 1. *
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Corresponding angles are congruent only when we have parallel lines like this.

6 0
3 years ago
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st
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Sample standard deviation

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Calculate deviations from the mean = 23.4, 17.8, 3.4, 1.4, -2.6, -3.6, -4.6, -5.6, -13.6 and -15.6

Squaring these deviations; we get 547.56, 316.84, 11.56, 1.96, 6.76, 12.96, 21.15, 31.36, 184.96, 243.36

Adding these we get 1378.47

As its a sample Std Dev we divide by 10 - 1 = 9. For the popklation Std Dev we divide by the number of scores (10).

Std Deviation for sample = sqrt ( 1378.47 / 9) = 12.4 to nearest tenth (answer)

Population Std Dev = sqrt (1378.47 / 10) = 11.7 answer

Theres a lot of arithmetic there so hope i haven't slipped up anywhere!

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