Geometry
Questions & Answers
Need to solve and draw Q) Length of the major axis and minor axis of a conic section obtained by cutting a right circular cone by a section plane through generators is given as 120 mm and 90 mm. Plot the curve.
4. In the list below, determine whether or not each example is a rigid motion. If it is a rigidmotion, identify the type of transformation.(6 points)
Extra Credit: Find the area of the red shaded part. The large circle has a diameter of 64 cm. Show ALL work for full extracredit. Give your answer both in terms of a and then round your final answer to one decimal place. (5 pts) Area of the red shaded part in terms of ä: Area of the red shaded part rounded to one decimal place:
Q5) Ahmad is determining if the triangles are congruent. Describe and correct the error that Ahmad did in his answer./2 marks)
5. Find the slope of a line going through each set of points. Then describe the line. Determine the slope formula by circling your choice. (1 m=\frac{y_{2}+y_{1}}{x_{2}+x_{1}} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} m=\frac{x_{2}+x_{1}}{y_{2}+y_{1}} m=\frac{x_{2}-x_{1}}{y_{2}-y_{1}} Use your answer from Part I to find the slope of a line going through each set of points.Then describe the line as positive, negative, zero, or undefined. Show your work andexplain your answer. \text { A. }(5,7) \text { and }(-4,-2) \text { (3 points) } B. (1, 3) and (1, -10) (3 points)
There are 100 seats in a row. How many minimum seats are occupied with people so that a person who comes in later must have a person seated next to him?
In order to prepare a piece of ground for building a brick patio, a rectangle measuring 8 feet by 10 feet must be marked off. Then the dirt within the rectangle must be dug out to a depth of 6 inches. Finally, the resulting space must be filled with sand. (b) Sand costs $4 per cubic foot. What is the total cost of the sand needed to fill this space, including a $35 delivery charge? (a) What is the volume of sand needed, in cubic feet, to fill the space?
Let u = -2i + 3j + 5k and v = 4i + 5j + -5k. Calculate u x v and the area of the triangle determined by u and v.
A network is said to be traversable if we can trace every edge without ever tracing the same edge twice. A path is said to be an Euler circuit if the network istraversable and we can start and end at the same edge. If we can visit each vert exexactly once and end back where we started, the path is said to be a Hamiltonian cycle. (See section 9.1 in your book if this is unclear)
