A circular cone has a circular base, which is connected by a curved surface to its vertex. A right circular cone is a circular cone whose altitude intersects the plane of the circle at the circle's center. The segments that connect the base to the vertex form the lateral surface of the cone. The slant height of a right circular cone is the distance from any point on the circle to the vertex of the cone.Formulas for cones in terms of radius r and height h:
Determine which of the following are subspaces of R3. For those that are, determine bases for them and hence calculate their dimension.
(a) All vectors of the form(x,y,z)where y=x+z.
(b) All vectors of the form(x,y,z)where y=x+z+1.
(c) All points lying in the plane 2x?y+3z=0.
(d) All points in the plane 2x ? y = 0.
What is it?
1. It is a closed figure with straight sides.
2. Its smalles angle measure 450
3. The measures of its four consecutive angles differ bye the same amount each time
4. Its a angle measuring 1050
5. No sides are congruent
6. It has one pair of parallel sides•
find the polygon
1. It is a closed figure with straight lines
2. Some of its angles measure 1200
3. Some of its angles measure 1500
4. Its sides are not congruent
5. It has an even number of both measures of angles
6. Its smaller angles are consecutive angles
7. It has more of the larger angles than the smaller
8. It has 45 pairs of angles
Hi Tutors, I need help in this assignment. What technique do I need to use to solve this problem?
We are contracting with your organization to obtain an analysis of a pipeline routing problem. We wish to know the most cost effective pipeline route to connect a new well with an existing distribution point. Complicating the problem is an area of wetland that separates the well from the distribution point. Attached you will find a US Geographical Survey Contour Map that includes the wetland area, outlined for clarity. The new well is located at point A and the distribution center is located at point B. We need to supply our pipeline installation company with a detailed map of where to lay the connecting pipe. In consultation with the installation company, the following information has been obtained:
• Straight, two-inch coated pipe must be used at a cost of $15.00/foot.
• To maintain a proper flow of oil, a maximum of two elbow joints may be used.
The elbow joints may be fabricated at any angle and cost $550.00 apiece.
• In crossing normal terrain, installation cost is $20.00/foot.
• Installation in the sensitive wetland area requires the use of a Track Hoe at an
additional cost of $180/hour.
• In a 10 hour day the Track Hoe can usually dig approximately 300 feet of trench.
We would like you to determine the pipeline route to use so that total cost is minimized. We will need a detailed report from you that can be understood and evaluated by our local staff.
Contour map is below
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