**Instructions:**6. Take a sequence of diagrams and imagine building each diagram from matchsticks, like the one shown below (the length of each matchstick is 1 unit).**Diagrams Description:**- **First Diagram:** This is a simple house shape, consisting of seven matchsticks. It forms a square (4 matchsticks) and a triangle on top (3 matchsticks).- **Second Diagram:** This is a more extended house shape, created with ten matchsticks. It includes two squares side by side (8 matchsticks) with one shared side, and a triangle on top (3 matchsticks), but one side overlaps, thus reducing one matchstick overall.- **Third Diagram:** This diagram extends further with thirteen matchsticks. It consists of three squares in sequence (12 matchsticks) with shared sides between adjacent squares, and a triangular roof on top (3 matchsticks), again with the overlap reducing one matchstick.**Objective:**If possible, use at least two visual strategies to determine how many matchsticks are needed to make the nth diagram.

Answered: Image /qna-images/answer/cd61dd3e-e54c-494a-a15d-7062f6d4b58a.jpg

Answered: 6. Take a sequence of diagrams and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose a garden plot contains 3 zinnias, 7 gladiolus,16 marigolds, 20 hollyhocks, and 23 lilies. If you were to make a circle graph of the flowers in the plot, what angels (to the nearest degree) should be assigned to each flower?
Take a sequence of diagrams and imagine building each diagram from matchsticks, like the one shown below (the length of each matchsticks is 1 unit). First diagram Second diagram Third diagram a) If possible, use at least two visual strategies to determine how many matchsticks are needed to make the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color. b) If possible, use at least two visual strategies to determine the perimeter of the nth diagram. Do not simplify your answers. Explain your visual strategies. If possible, color each component of the expression that represents the solution to the problem using a different color.
Below are the first five letters of the alphabet, designed to fit the vertices of a grid. Below them in subparts (a) through (d) are the first four letters that were designed on other grids. Draw the "e" that goes with each type style, or font. As stated many times in this book, we want you to go beyond random trial and error. First, take some time and think. One strategy is to try to write the rules that the writer of the letter used. Another strategy is to try to articulate the common characteristics of the four letters.t abcde (a) (b) (c) تحاد EEEE abcd. BA م داد plo EEEE 0
2. One cup of icing will cover ¼ of a cake. How much will a half cup cover? It will cover ½ of ¼, or ;x-=_?_ 1 Draw this using a cake and answer the question, or fold a piece of paper to show the answer.
5.
6.
2. The grid below gives the locations of 25 voters in a region, which you must divide into 5 districts of 5 voters each. In each district, the party with the most votes wins. The districts must satisfy these rules: the districts must be non-overlapping the districts must be contiguous meaning that every square must share a side with another square in that district. Outline 5 districts which represent what you think is a "fair" way to split these voters up. Explain what you used as your "fair" criteria. There is not one correct answer. There are many. Answering the following questions may help in coming up with a "fair" method: a) How many Blue voters are there and what percentage of the voters in this region are Blue? b) How many Red voters are there and what percentage of the voters in this region are Red? To have proportional representation, how many of the five districts should the Red party win? How about the Blue party? Explanation of Method you used for Fairness: c)

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