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Tresset [83]
3 years ago
9

on the blank spaces, analyze the concentric circles and write a short interpretation based on your understanding​

Law
1 answer:
Step2247 [10]3 years ago
8 0

Answer:

Concentric circles are circles with a common center. The region between two concentric circles of different radii is called an annulus. Any two circles can be made concentric by inversion by picking the inversion center as one of the limiting points.

1. Picking any two points on the outer circle and connecting them gives 1/3.

2. Picking any random point on a diagonal and then picking the chord that perpendicularly bisects it gives 1/2.

3. Picking any point on the large circle, drawing a line to the center, and then drawing the perpendicularly bisected chord gives 1/4.

So some care is obviously needed in specifying what is meant by "random" in this problem.

Given an arbitrary chord BB^' to the larger of two concentric circles centered on O, the distance between inner and outer intersections is equal on both sides (AB=A^'B^'). To prove this, take the perpendicular to BB^' passing through O and crossing at P. By symmetry, it must be true that PA and PA^' are equal. Similarly, PB and PB^' must be equal. Therefore, PB-PA=AB equals PB^'-PA^'=A^'B^'. Incidentally, this is also true for homeoids, but the proof is nontrivial.

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IM GIVING 100PTS & BRAINLIEST! AND GONNA POST 2 QUESTIONS SPECIFICALLY FOR YOU TO ANSWER AND GET 200PTS FOR THOSE (ILL GIVE
kolezko [41]

Answer:

Mr. President:

I confess that I do not entirely approve of this Constitution at present, but Sir, I am not sure I shall never approve it: For having lived long, I have experienced many Instances of being oblig'd, by better Information or fuller Consideration, to change Opinions even on important Subjects, which I once thought right, but found to be otherwise. It is therefore that the older I grow the more apt I am to doubt my own Judgment, and to pay more Respect to the Judgment of others. Most Men indeed as well as most Sects in Religion, think themselves in Possession of all Truth, and that wherever others differ from them it is so far Error. Steele, a Protestant in a Dedication tells the Pope, that the only Difference between our two Churches in their Opinions of the Certainty of their Doctrine, is, the Romish Church is infallible, and the Church of England is never in the Wrong. But tho' many private Persons think almost as highly of their own Infallibility, as of that of their Sect, few express it so naturally as a certain French Lady, who in a little Dispute with her Sister, said, I don't know how it happens, Sister, but I meet with no body but myself that's always in the right. Il n'y a que moi qui a toujours raison.

In these Sentiments, Sir, I agree to this Constitution, with all its Faults, if they are such; because I think a General Government necessary for us, and there is no Form of Government but what may be a Blessing to the People if well administered; and I believe farther that this is likely to be well administered for a Course of Years, and can only end in Despotism as other Forms have done before it, when the People shall become so corrupted as to need Despotic Government, being incapable of any other.

I doubt too whether any other Convention we can obtain, may be able to make a better Constitution: For when you assemble a Number of Men to have the Advantage of their joint Wisdom, you inevitably assemble with those Men all their Prejudices, their Passions, their Errors of Opinion, their local Interests, and their selfish Views. From such an Assembly can a perfect Production be expected? It therefore astonishes me, Sir, to find this System approaching so near to Perfection as it does; and I think it will astonish our Enemies, who are waiting with Confidence to hear that our Councils are confounded, like those of the Builders of Babel, and that our States are on the Point of Separation, only to meet hereafter for the Purpose of cutting one another's throats. Thus I consent, Sir, to this Constitution because I expect no better, and because I am not sure that it is not the best.

The Opinions I have had of its Errors, I sacrifice to the Public Good. I have never whispered a Syllable of them abroad. Within these Walls they were born, and here they shall die. If every one of us in returning to our Constituents were to report the Objections he has had to it, and use his Influence to gain Partisan in support of them, we might prevent its being generally received, and thereby lose all the salutary Effects and great Advantages resulting naturally in our favour among foreign Nations, as well as among ourselves, from our real or apparent Unanimity. Much of the Strength and Efficiency of any Government, in procuring and securing Happiness to the People depends on Opinion, on the general Opinion of the Goodness of that Government as well as of the Wisdom and Integrity of its Governors. I hope therefore that for our own Sakes, as a Part of the People, and for the sake of our Posterity, we shall act heartily and unanimously in recommending this Constitution, wherever our Influence may extend, and turn our future Thoughts and Endeavours to the Means of having it well administered.

On the whole, Sir, I cannot help expressing a Wish, that every Member of the Convention, who may still have Objections to it, would with me on this Occasion doubt a little of his own Infallibility, and to make manifest our Unanimity, put his Name to this instrument.

Explanation:

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In Hazelwood School District v. Kuhlmeier, the high court ruled that school officials can censor school-sponsored publications if their decision is “reasonably related to a legitimate pedagogical purpose.”

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