Examine the pattern below and answer the questions provided: Example 1: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 a. What part of the patterns repeat? What is the pattern core? b. What will the next shape be? c. If this patterns continues, what shape will be above the number 10? How about in number 15? d. If we read all of the numbers that have a hexagon above them, what do we know about

This diagram shows one face of the Great Pyramid of Giza. The pyramid is one of the seven wonders of the ancient world. What is the slant height, h, of the face, in cubits? 53.2 480 cubits

3a and 3b please

You are probably familiar with Tetrahedral or Triangular Pyramidal numbers. They are the total number of points we would get from stacking successively larger triangles. See the figure to the right. The points in each level are 1, 3, 6, 10, 15, ... in other words, the triangle numbers. Stacking them, then the Triangular Pyramidal numbers are 1, 4, 10, 20, 35, .... Pyramidal numbers can be made with any shape; for instance... pentagons! Pentagonal Pyramidal numbers are those you get from stacking successively larger pentagons. Pentagon or Pentagonal numbers are 1, 5, 12, 22, 35, ... which gives the first several Pentagonal Pyramidal numbers as 1, 6, 18, 40, 75, .... Designate the nth Pentagonal Pyramidal number as PP. For instance, PP = 18. 1 Evaluate: Σ ΣPP. n =

16. Identify each geometric figure. Then give all possible names for the figure. а. b. R Q d. •L P H. N•

Consider the pentagon  How many non-overlapping triangles can an n-sided figure be split into?

TASK 1: Area and Perimeter Use the five pentominoes cutout shapes on the next page to answer the questions below. NOTE: The side length of each square that makes up the pentominoes is 1-unit, the perimeter of the square is 4 units and the area of the square is one square unit. a. Find the area and perimeter of each of the five selected pentominoes below. What patterns do you notice? b. Using all of the five shapes below, put the pieces together to create the shape with the smallest perimeter. C. Using all of the five shapes below, put the pieces together to create the shape with the largest perimeter. d. Of ALL of the pentominoes (12 total) which has the largest perimeter and which has the smallest perimeter? Draw the shapes that you created. Carefully explain your answers to show your conceptual understanding of the content by providing a justification for someone that might not understand the problem. Provide a strong, detailed explanation with enough detail, use of precise…

This image shows a graphical depiction of the spacecraft Impactor as it crashed into the comet Tempel 1 the dimensions of the 10 1. Use the fact that each dimension of one of the Deep Impact models was spacecraft to answer each question.

CHAPTER 5. EUCLIDEAN TRIANGLES 144 %3D CE = 10 feet, and EB = 12 feet. Find DB. D B

David counted the number of take-out meals sold at a restaurant during a week. He drew the pictograph below, with each fork representing 10 meals. Monday Tuesday Wednesday = 10 meals Thursday Friday Saturday Sunday How many meals were sold on Tuesday?