The sides of each of the following right triangles are labeled with different letters. State the ratio of each of the six functions in relation to ∠ 1 for each of the triangles. For example, for the triangle in Exercise 23, sin ∠ 1 y r , cos ∠ 1 x r , tan ∠ 1 y x , cot ∠ 1 x y , sec ∠ 1 r x , and csc ∠ 1 r y .
The sides of each of the following right triangles are labeled with different letters. State the ratio of each of the six functions in relation to ∠ 1 for each of the triangles. For example, for the triangle in Exercise 23, sin ∠ 1 y r , cos ∠ 1 x r , tan ∠ 1 y x , cot ∠ 1 x y , sec ∠ 1 r x , and csc ∠ 1 r y .
Solution Summary: The author explains the name of six trigonometric functions with respect to angle 1.
The sides of each of the following right triangles are labeled with different letters. State the ratio of each of the six functions in relation to
∠
1
for each of the triangles. For example, for the triangle in Exercise 23,
sin
∠
1
y
r
,
cos
∠
1
x
r
,
tan
∠
1
y
x
,
cot
∠
1
x
y
,
sec
∠
1
r
x
,
and
csc
∠
1
r
y
.
12:25 AM Sun Dec 22
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Assume that a company is considering purchasing a machine for $50,000 that will have a five-year useful life and a $5,000 salvage value. The
machine will lower operating costs by $17,000 per year. The company's required rate of return is 15%. The net present value of this investment
is closest to:
Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using the tables provided.
00:33:45
Multiple Choice
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$6,984.
$11,859.
$22,919.
○ $9,469,
Mc
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No chatgpt pls will upvote
7. [10 marks]
Let G
=
(V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a
cycle in G on which x, y, and z all lie.
(a) First prove that there are two internally disjoint xy-paths Po and P₁.
(b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which
x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that
there are three paths Qo, Q1, and Q2 such that:
⚫each Qi starts at z;
• each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are
distinct;
the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex
2) and are disjoint from the paths Po and P₁ (except at the end vertices wo,
W1, and w₂).
(c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and
z all lie. (To do this, notice that two of the w; must be on the same Pj.)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Introduction to Statistics..What are they? And, How Do I Know Which One to Choose?; Author: The Doctoral Journey;https://www.youtube.com/watch?v=HpyRybBEDQ0;License: Standard YouTube License, CC-BY