ANSWERS page 1 page 2 ELL Support 1-1 1-1 Nets and Drawings for Visualizing Geometry folds into a solid right-side view Nets and Drawings for Visualizing Geometry Multiple Representations There are eight different nets for the solid shown at the right. Draw as many of them as you can. (Hint: Two nets are the same if you can rotate or flip one to match the other.) Add the phrases to the web. Place them where you think they should go.
x and c-x, then the diagram looks as follows: The perpendicular has divided the triangle into two right-angled triangles. Now for any right-angle triangle, according to Pythagorean Theorem, [pic] = [pic] + [pic] If Pythagorean is applied to the right-angled triangles in the above triangle, then in the case of left right-angle triangle in the above diagram, it would give us the equation [pic] = [pic] + [pic] where ‘a’ = hypotenuse and ‘h’ = height/perpendicular and ‘x’ = base. Re-writing it, the equation would become which we will call Eq. A [pic] = [pic] - [pic] ---------------------( Eq. A Similarly, for the right angle triangle on the right half to triangle ABC, [pic] = [pic] + [pic] where ‘b’ = hypotenuse, ‘h’ = height/perpendicular and ‘c-x’ = base.
Write a paragraph describing the relationship between triangles and circles. Be sure to include a description of the different centers a triangle can have. Answer: Circles can be found in triangles. They can be found inside outside triangles too. The circles located on the inside are called inscribed circles, inscribed circles should touch each side of the triangle at a single point.
The mathematical: geometrical and algebraic concepts are used in this task. They can have a significant impact in determining the location of customer and pizzeria. The geometrical concepts such as the distance formula, midpoint formula and intersection of circles are being used in this investigation to explore and develop the Voronoi Diagrams. The use of technology such as Graphics Calculator and FX Graph 5 software can also help in this investigation. ANALAYSICS: Part 1: 1) Find the Voronoi separation each pizzeria: a) A perpendicular bisector is a straight line that cuts the line AB into two equal parts.
Week 5 Law of Sines and Cosines 1. Law of Sines: An equation to the length of all sides on a triangle and to the sines of its angles. 2. Law of Cosines: Related to the lengths of the sides of a plane triangle to the cosine of one of the angles. 3.
Homework Assignment 4 Charles Black CMIS102-4015 Professor Dale Goode 27Sep15 Problem definition: Write a program, using functions, that calculates the area and perimeter of a rectangle whose dimensions (length and width) are provided by a user. A. Problem Analysis – Following the directions in the assignment, clearly write up your problem analysis in this section. In this problem, we have to calculate and display the area and perimeter for set of input values, entered by user. We will take input from user for length and width.
What fraction of the shapes below are circles? [pic] A. [pic] B. [pic] C.[pic] 6. Which is true?
Imagine a rectangle. Draw a line from the upper left-hand corner to the lower right-hand corner. What two
By determining a, b, c and d values for a cubic graph it is possible to find the cubic discriminant. By comparing the quadratic and cubic discriminants it will show a possible relationship between the roots of quadratic polynomials and cubic polynomials. This task looks at quadratic and cubic polynomials and the relationship between their roots and discriminants. By using a graphing package, it is possible to determine the axial intercepts, axis of symmetry and vertex coordinates of a polynomial. By using a, b and c values assigned to each individual, it can be shown that the discriminant directly affects the roots of a quadratic graph and the roots effect the discriminant.
Such an intersection can occur in physical situations as simple as sharpening a pencil that has a polygonal cross section or in the patterns formed on a wall by a lamp shade. So, in short, conic sections are everywhere around us, we just need to be aware of them and look