every quadrilateral tessellates the plane. However, can an
arbitrary quadrilateral such as the one shown below have all its
sides altered and still tessellate the plane? Decide which methods
described in this activity set you can use to alter the sides of
this quadrilateral and tessellate the plane. In the pictured
quadrilateral, no sides are of equal length and no sides are
parallel. For each method you use, make a template for your figure,
and determine whether or not it...
Two angles of a quadrilateral measure 140° and 80°. The other
two angles are in a ratio of 3:4. What is the value of x? What are
the measures of those two angles?
x =
Measures of two angles are?
Smoking increases the risk of lung infections not only for
active smokers but also for other people inhaling the smoke
passively. Which of the following will help in reducing
smoking?
A. A corrective tax
B. A life insurance
C. A health insurance
D. A health tax
Prove the following theorem:
In a Pasch geometry, a quadrilateral is a convex quadrilateral
if and only if the vertex of each angle is contained in the
interior of the opposite angle.
1.38.4. The diagonal of a parallelogram and segments from any
point on the diagonal to the vertices through which the diagonal
does not pass divide the parallelogram into two pairs of equal
triangles.
The bus service the Meanwells began is the only one in their
small city. We’ll also assume there’s no other alternative form of
public transportation. For each of the following determinants of
elasticity, evaluate the price sensitivity of their bus service at
a price of $3 per ride.
Question 5 – Substitutability
Question 6 – Need
Question 7 – Proportion of Budget
Question 8 – Are there any proactive steps the Meanwells might
take to reduce the price sensitivity of...
Is Kerviel the only guilty one in this case with regard to his
actions? Also, does
the punishment fi t the crime in this case? Explain both of your
answers.
Write an inheritance hierarchy
for classes
Quadrilateral,
Trapezoid,
Parallelogram, Rectangle
and Square.
Use Quadrilateral as the
superclass of the hierarchy. Create and use a Point class to
represent the points in each shape. Make the hierarchy as deep (
i.e., as many levels ) as possible. Specify the instance variables
and methods for each class. The
private instances variables
of Quadrilateral should
be the x-y coordinate
pairs for the four endpoints of the
Quadrilateral. Write a program
that instantiates objects...
P.0.2 Show that (a) the diagonal entries of a Hermitian
matrix are real; (b) the diagonal entries of a skew-Hermitian
matrix purely imaginary; c) the diagonal entries of a
skew-symmetric matrix are zero.
P.0.5 Let A ∈ Mn be invertible. Use mathematical
induction to prove that (A-1)k = (Ak)-1 for all integers
k.
P.0.25 Let A ∈ Mn be idempotent. Show that A is
invertible if and only if A = I
P.0.26 Let A,B ∈ Mn be idempotent. Show...