Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 78, Problem 1A
To determine
To show:
The right triangle that contains the angle T.
To show:
The right triangle that contains the given angles.
Expert Solution & Answer
Explanation of Solution
Given information:
A diagram with top view, front view and size view has given.
Calculation:
Rectangular solid form by the given blocks.
Top view, front view and side view are given for the solid pyramid. When these blocks are combined with each other than that form a rectangular solid, which contain angle R and angle T with some right angles.
Here angle MBO is right angle which is formed by top view.
Angle OBN is right angle which is formed by side view.
Angle R is formed at right-angle triangle MNB andright-angle triangle ONB in which angles are given.
Angle T is formed atright angle triangleBMO and right-angle triangle BMO.
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1. Give a subset that satisfies all the
following properties simultaneously:
Subspace
Convex set
Affine set
Balanced set
Symmetric set
Hyperspace
Hyperplane
2. Give a subset that satisfies some of
the conditions mentioned in (1) but not
all, with examples.
3. Provide a mathematical example
(not just an explanation) of the union of
two balanced sets that is not balanced.
4. What is the precise mathematical
condition for the union of two
hyperspaces to also be a hyperspace?
Provide a proof.
edited 9:11
2. You manage a chemical company with 2 warehouses. The following quantities of
Important Chemical A have arrived from an international supplier at 3 different
ports:
Chemical Available (L)
Port 1.
400
Port 2
110
Port 3
100
The following amounts of Important Chemical A are required at your warehouses:
Warehouse 1
Warehouse 2
Chemical Required (L)
380
230
The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
Warehouse 1 Warehouse 2
Port 1
£10
£45
Port 2
£20
£28
Port 3
£13
£11
(a) You want to know how to send these shipments as cheaply as possible. For-
mulate this as a linear program (you do not need to formulate it in standard
inequality form).
(b) Suppose now that all is as in the previous question but that only 320L of
Important Chemical A are now required at Warehouse 1. Any excess chemical
can be transported to either Warehouse 1 or 2 for storage, in which case the
company must pay only the relevant transportation costs, or can be disposed
of at the…
choose true options in these from given question
a) always full and always crossing.
b) always full and sometimes crossing.
c) always full and never crossing.
d) sometimes full and always crossing.
e) sometimes full and sometimes crossing.
f) sometimes full and never crossing.
g) never full and always crossing.
h) never full and sometimes crossing.
i) never full and never crossing.
Chapter 78 Solutions
Mathematics For Machine Technology
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