### Geometric Wall Hanging ProjectThe illustration shows how a geometric wall hanging can be created by stretching yarn from peg to peg across a wooden ring. The relationship between the number of pegs $ p $ placed evenly around the ring and the number of yarn segments $ s $ that crisscross the ring is given by the formula:\[ s = \frac{p(p-3)}{2} \]#### ProblemHow many pegs are needed if the designer wants 35 segments to crisscross the ring? (Hint: Multiply both sides of the equation by 2.) See Example 1.$ p = \_\_\_\_\_\_\_\_\_\_ $ pegs### Diagram ExplanationThe image shows a circular wooden ring with multiple pegs placed evenly around the circumference. Yarn is stretched across the ring in a geometric pattern, forming a complex network of crisscrossing segments. Each yarn segment represents a connection from one peg to another, creating intricate geometric shapes within the circle. The example illustrates the concept of calculating the number of yarn segments needed given a certain number of pegs.

Answered: Image /qna-images/answer/a849e391-96bc-412c-8186-66ef5b0bd08f.jpg

The illustration shows how a geometric wall hanging can be created by stretching yarn from peg to peg across a wooden ring. The relationship between the number of pegsp placed evenly around the ring and the number of yarn segments s that crisscross the ring is given by the formula s = PlP - 3) 2. How many pegs are needed if the designer wants 35 segments to crisscross the ring? (Hint: Multiply both sides of the equation by 2.) See Example 1. p = pegs

The illustration shows how a geometric wall hanging can be created by stretching yarn from peg to peg across a wooden ring. The relationship between the number of pegsp placed evenly around the ring and the number of yarn segments s that crisscross the ring is given by the formula s = PlP - 3) 2. How many pegs are needed if the designer wants 35 segments to crisscross the ring? (Hint: Multiply both sides of the equation by 2.) See Example 1. p = pegs

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Kirsten plans to dig a rectangular-shaped area in her yard for a garden. She wants the garden to be…

A: Disclamier: Since you have asked multiple question ,we will solve the first question for you. if…

Q: Melanie sat down to draw a dinosaur exhibit to scale. The height of the model dinosaur is 10m. If…

A: Given: The height of the model dinosaur is 10m. Melanie wants to make her drawing 1/100. To find the…

Q: The pennant below is in the shape of an isosceles triangle. The equal sides each measure 20 inches,…

Q: The perimeter of the rectangle is 40 inches. the value of y=, y 9 in

A: Perimeter of rectangle

Q: A rectangular pool at Alvin's gym measures 25 meters by 50 meters. How may meters would Alvin need…

Q: The penalty area is 19 yards wide. The goal is 5 yards wide. How many yards (x) should be on each…

A: In Soccer the penalty area is the area surrounded by a rectangular shape in front of the goal post.…

Q: Henry looks at the rectangle on the right and says that the base is 5cm and the height is 3cm.…

A: To write that who is correct

Q: Fill in the blank. The equation 8• 2 = 2.8 demonstrates the property of multiplication. ... The…

A: Given the equation 8*2=2*8 demonstrate the _______ Property of multiplication is

Q: danah has a rectangle strawberry patch in her garden. Its border is 7/8 yard wide and 3/2 yards…

Q: The fence around the yard =72 ft. The length is 3 times the width, What is the length and with?

A: Given, length = 3* width Perimeter of yard = length + width

Q: Klara is building a fence in her backyard. The sides of the fence will form a right triangle with…

Q: Supposed you are making a model of your bedroom to give to a decorator. Your bed is 6feet long, but…

Q: Serge is making a map of a small town that is 5.7 miles long and 4.3 miles wide. If he is using the…

A: The objective of this question is to determine the size of the map that Serge is making, given the…

Q: Valerie is designing a patch to sew on her jacket. The patch is a square with the dimensions shown…

A: Step 1: Step 2: Step 3: Step 4:

Q: Christina is building a model of the ocean. The table shows the lengths of different ocean animals.…

A: The actual shark is 8 feet long. The detailed solution is as follows below:

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

### Geometric Wall Hanging Project

The illustration shows how a geometric wall hanging can be created by stretching yarn from peg to peg across a wooden ring. The relationship between the number of pegs $ p $ placed evenly around the ring and the number of yarn segments $ s $ that crisscross the ring is given by the formula:

\[ s = \frac{p(p-3)}{2} \]

#### Problem
How many pegs are needed if the designer wants 35 segments to crisscross the ring? (Hint: Multiply both sides of the equation by 2.) See Example 1.

$ p = \_\_\_\_\_\_\_\_\_\_ $ pegs

### Diagram Explanation
The image shows a circular wooden ring with multiple pegs placed evenly around the circumference. Yarn is stretched across the ring in a geometric pattern, forming a complex network of crisscrossing segments. Each yarn segment represents a connection from one peg to another, creating intricate geometric shapes within the circle. The example illustrates the concept of calculating the number of yarn segments needed given a certain number of pegs.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

A 1.4 m tall child is standing next to a flagpole. The child's shadow is 1.2 m long. At the same time, the shadow of the flagpole is 7.5 m. long. How tall is the flagpole?
Vlad (the vampire) wanted to line the inside of his coffin bed with purple cloth. He measured the inside height, length and width to be twenty-three inches, eighty-four inches and twenty- eight inches. He also noted that it was a rectangular prism. The purple cloth is sold by the foot in sixty inch wide pieces. How many feet of cloth does he need to buy?
En7x3=D17,144 3. A company designs a billboard to advertise their grand opening. They used a scale of 1 in. : 10 ft. What would be the dimensions of the billboard in the drawing if they use a scale of 2 in. : 25 ft instead? 10 in. 36 8 in. 20 Copyright © by Pearson Educatio
Ms. Reece's 5th grade class wants to figure out how tall the school flagpole is. On a sunny day, the class goes outside and measures that the shadow of the flagpole is about 23 feet, 3 inches long. At the same time, Juan's shadow is 5 feet, 2 inches long. Juan is 4 feet, 6 inches tall. Determine the (approximate) height of the flagpole using a method that the children in Ms. Reece's class could find plausible. Express your answer in feet and inches. The children know about multiplication and division, but they don't know any more advanced mathematics, such as setting up proportions, so you can't use proportions to do this.