USING ONLY AN UNMARKED STRAIGHT EDGE AND A COMPASS CONSTRUCT THE FOLLOWING: (A) A RHOMBUS GIVEN: ONE SIDE AND ONE ANGLE (B) A PARALLELOGRAM GIVEN: TWO ADJACENT SIDES AND THE INCLUDED ANGLE (C) A PARALELLOGRAM GIVEN: THE DIAGONALS AND THE ANGLE BETWEEN THEM ********I NEED STEP-BY-STEP INSTRUCTIONS ON HOW TO CONSTRUCT
Please see the attached file for the fully formatted problems. Let lambda n be a real decreasing sequence converging to Prove E is compact if and only if = 0. I am assuming compactness here refers to the sequential compactness. This seems to make the most sense. Since this problem is an analysis problem, please be
Construct a model that satisfies the following axioms. - 1. There exists at least 1 line. - 2. Every line of the geometry has exactly 4 points on it. - 3. Not all points of the geometry are on the same line. - 4. Each point of the geometry is contained in exactly 3 lines. - 5. Every pair of lines intersect and their interse
A piece of wire L inches long is cut into two pieces. Each piece is then bent to form a square. If the sum of the two areas is 5L^2/128, how long are the two pieces of wire? (Answer in terms of L)
Find the maximum possible volume of a rectangular box if the sum of the lengths of its 12 edges is 6 meters.
Cos x (using the half-angle identity)
A=4.0ft, b=5.0ft, c=8.0ft
Please see the attached file for the fully formatted problems. Let l, m, n be distinct lines and P, Q, R be distinct points. Prove the following: (a) sigma l sigma m = sigma m sigma l if and only if l perpendicular to m. (b) sigma p sigma m = sigma m sigma p if and only if P E m. plus three more questions
B=48.2degrees, a=890cm, b=697cm. Please show me each step.
Sec^2B/tanB = (cot^2B- tan^2B)/(cotB-tanB)
In Metric. Three college students are trapped in deep snow in northern Canada. To survive they must build an igloo using snow large enough for all of them to fit and small enough to not exceed their strength and stamina. Luckily one of them is a math major and quickly formulates the dimensions of the blocks they need to cu
Prove (using angle,ray,line,plane axioms)That the sum of the measures of any set of adjacent angles about a point, whose sides and interiors cover the entire plane is 360.
Calculate AREA of Shape 1 then calculate the area of Re-arranged Shape 1. Did you get the same result? Why are they different? Please see the attached document.
You have a brick of parallelepiped shape. You need to measure its diagonal (a distance between two opposite vertexes remote to the maximum). You have in your disposition a ruler and a rectangular edge of the plane surface (of the table, for example). What should you do to measure the diagonal if 1. You have also a pencil to ma
Suppose <ABC and<CBD form a linear pair, <CBD and <DBE form a linear pair, and m<CBD=30. A. Draw a figure representing these angles. B. Write a paragraph proof showing that <ABC=<DBE.
Given a,b,and c, find three angles A, B and C?
Consider a triangle with sides a, b and c and angles A, B and C. Prove the following version of the Law of Cosines : b^2 = a^2 + c^2 - 2ac cosA
Find the measure of an interior angle of a regular octagon.
How many lines would you need to add to a pentagonal prism anchored to the ground to make it rigid?
For a gun where the departure angle 'Beta' and the distance "D" in meters that the projectile travels are related by D=1250sin2Beta. Find which departure angles can be used to hit a target 800 meters away.
Find the vale of x if arc AB = 62 degrees and arc CD = 32 degrees (on a semicircle). AD is the diameter of the circle. x = arc BC
When measuring angles using a protractor, how do you decide whether to use the top scale or the botton scale?
Please explain how to find the apothem, especially in regards to 45-45-90 and 30-60-90 triangles.
What is this symbol and what does it mean? See attachment.
How much earth would be needed to fill a hole 25 ft long 6ft wide and 2ft deep?
Solve the following ratios: x/4=3/2 3/a=1/6
Is it possible for the volume and surface area of a cube to be equal? Explain.
Assume that AC < w, A-B-C, and D is a point on AC line segment. Let h be a ray with endpoint C such that h meets BD line interior. Prove that h meets AD line.
Prove that the interior of any proper angle is a convex set.
Given: Segment RW and segment SX bisect each other at point V Prove: Line RS is parallel to line XW