BMAD

A discrete function that takes the number of sides of a regular polygon and tells you the measure of one of its inner angles. A regular triangle has three sides and its inner angle is 60 degrees. A regular quadrilateral has four sides and its inner angle is 90 degrees. A regular pentagon has five sides and its inner angle is 108 degrees. That's a recipe for a regular pentagon right there. Draw a 108 degree angle between two segments with the same length. Then draw another 108 degree angle on the last segment. And another, and another, until the segments reconnect and you have a regular polygon with five sides. We can write a table: We can graph those values: We can also write an equation: That equation perfectly describes the discrete values in that graph. But the equation is stupid. It doesn't know it's only supposed to describe those discrete values. We can put in other values and, like a sucker, it'll give us a number, even though it isn't supposed to and even though that number won't make any sense. Like n = 3.5. A regular polygon with 3.5 sides? No such thing. But if we throw n = 3.5 into that function, it gives us the number 77.1 degrees. Maybe that's just gibberish, the result of pushing this function machine beyond its warranty. But maybe it isn't. What if we tried to draw a regular 3.5-gon in the same way we did the regular 5-gon up there? When you make the shape, ask yourself the following question: But where is the 3.5 in that shape? Maybe you see how the number 3.5 turned into the number 77.1 and how the number 77.1 turned into that _____ shape. But where is the 3.5 in that shape?

What's triangle inequality?

What's triangle inequality? So, 0-angle triangles are being discriminated agianst. That's an injustice. Still, my last post gives two different answers even for that case.

In that case, like Sp said. And the number of decks does not matter. well this is embarrassing but for some reason i am getting a higher number, what am i missing? Do your decks have Jokers? (Wouldn't matter, anyway, since Joker helps making 4 of a kind.) I assume, standard deck is 52 cards 2 - 10, J, Q, K, A. If the above assumptions are correct, but the answer is still wrong, I give up and would like to see a list of more cards than Sp posted not having at least 1 four of a kind.

In that case, like Sp said. And the number of decks does not matter. well this is embarrassing but for some reason i am getting a higher number, what am i missing? Oops. for some reason i had it in my head that there were 14 card types... oopsies

What's triangle inequality?

In that case, like Sp said. And the number of decks does not matter. well this is embarrassing but for some reason i am getting a higher number, what am i missing?

There are three solutions. Can you find a formal proof for all three?

Assume that a four of a kind is defined as only needing to match the numeric (or letter?) value or in other words that suits do not matter.

thank you for clarifying. I am from the Ukraine so we are practically brothers.

solved number three is correct #2 is still unsolved

What would the area be if the dimensions referred to a different quadrilateral? Like a parallelogram maybe.

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The Puzzle: You have a mobile with a keyboard which consists of 10 digits and two symbols, [#] and [*], as shown in the illustration. On the mobile's screen is a small program which shows the same keyboard, but with the buttons in a different order. When you press a button on the keyboard, then the respective button on the same place on the screen is highlighted. That is: button [1] on the keyboard highlights button [6] on the screen; button [2] on the keyboard highlights button [7] on the screen; and so on. The object is to press 5 differnt buttons on the keyboard so that the same set of buttons are highlighted on the screen.

Which area is bigger: the total orange or the total red?

In five decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

On your travels you come to an old man on the side of the road holding three cards from a standard deck face down. Trying to make conversation you ask him what the three cards are. He tells you, "To the left of the queen, are one or two jacks. To the right of the jack, are one or two jacks. To the right of the club, are one or two diamonds. To the left of the diamond, are one or two diamonds." What are the three cards?

Using integer side lengths, what is the probability of forming an isosceles triangle if the perimeter is 12?

Assume the following is true: 5 monkeys eat 5 bananas in 5 minutes. 1. How many minutes would it take 4 monkeys to eat 4 bananas? 2. How many bananas could 7 monkeys eat in 6 minutes?

Using three straight lines, how many ways can the cabbage patchbe divided into six sections with two cabbages in each section.

but the OP says: You may only move one coin at a time so that in its new position it touches at least two other coins. the bottom coins do not touch two other coins

can you point out where your three equilateral triangles are? My answer looks different