Given △ABC, extend sides AB and AC to rays AB and AC forming
exterior angles. Let...
Given △ABC, extend sides AB and AC to rays AB and AC forming
exterior angles. Let the line rA be the angle bisector ∠BAC, let
line rB be the angle bisector of the exterior angle at B, and let
line rC be the angle bisector of the exterior angle at C.
• Prove that these three rays are concurrent; that is, that they
intersect at a single point. Call this point EA
• Prove that EA is the center of...
5. Suppose that the incenter I of ABC is on the triangle’s Euler
line. Show that...
5. Suppose that the incenter I of ABC is on the triangle’s Euler
line. Show that the triangle is isosceles.
6. Suppose that three circles of equal radius pass through a
common point P, and denote by A, B, and C the three other points
where some two of these circles cross. Show that the unique circle
passing through A, B, and C has the same radius as the original
three circles.
7. Suppose A, B, and C are distinct...
1. Let the angles of a triangle be α, β, and
γ, with opposite sides of...
1. Let the angles of a triangle be α, β, and
γ, with opposite sides of length a, b,
and c, respectively. Use the Law of Cosines and the Law of
Sines to find the remaining parts of the triangle. (Round your
answers to one decimal place.)
α = 105°; b =
3; c = 10
a=
β= ____ °
γ= ____ °
2. Let the angles of a triangle be α,
β, and γ, with opposite sides of length
a, b,...
2. Let G be a group containing 4 elements a, b, c, and d. Under
the...
2. Let G be a group containing 4 elements a, b, c, and d. Under
the group operation called
the multiplication, we know that ab = d and c2 = d. Which element
is b2? How about
bc? Justify your answer.
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and...
Let p = (8, 10, 3, 11, 4, 0, 5, 1, 6, 2, 7, 9) and let q = (2,
4, 9, 5, 10, 6, 11, 7, 0, 8, 1, 3) be tone rows. Verify that p =
Tk(R(I(q))) for some k, and find this value of k.
Let U = {1, 2, 3,
4, 5, 6, 7, 8,
9, 10}, and let the...
Let U = {1, 2, 3,
4, 5, 6, 7, 8,
9, 10}, and let the digits of your ID to be the elements
of set A. For example if my ID is 21743911, then set A would be
{2,1,7,4,3,9}.
Write the bit string that represents set A above.
Let set B = {2, 3, 5, 6, 7, 10}. Write the bit string that
represents this set B.
What is the bit string for the difference of A and B?...
Let the population have N=7 units, with {(unit,value)} =
{(A,-1),(B,+1),(C,-2),(D,+3),(E,-4),(F,+5),(G,-6)}. The design is
as follows: first...
Let the population have N=7 units, with {(unit,value)} =
{(A,-1),(B,+1),(C,-2),(D,+3),(E,-4),(F,+5),(G,-6)}. The design is
as follows: first choose A or B at random; if A then choose from
{C,D} at random, if B then choose from {E,F,G} at random. 1) Find
the first-order inclusion probabilities (note that the sample size
n is fixed at 2).
Verify (show numerically for this example) that the
Horvitz-Thompson estimator is unbiased for the population total.
(Hint: find the probability of each sample and the value...
Lab 9 – Molecular Biology
In this lab, you will prepare an agarose gel and use...
Lab 9 – Molecular Biology
In this lab, you will prepare an agarose gel and use gel
electrophoresis to compare the size of 2 dye molecules Methyl
orange and Ponceau G. You will also analyze an “unknown” sample
that contains a mixture of two dyes. Dye molecules with lower
molecular weight or greater electrical charge will migrate faster
through the gel, than dye molecules with greater molecular weights
or lesser electrical charge.
Materials:
Mini gel electrophoresis chamber
6 Tooth comb...
Delta airlines case study
Global strategy. Describe the current global
strategy and provide evidence about how...
Delta airlines case study
Global strategy. Describe the current global
strategy and provide evidence about how the firms resources
incompetencies support the given pressures regarding costs and
local responsiveness. Describe entry modes have they usually used,
and whether they are appropriate for the given strategy. Any key
issues in their global strategy?
casestudy:
Atlanta, June 17, 2014. Sea of Delta employees and their
families swarmed between food trucks, amusement park booths, and
entertainment venues that were scattered throughout what would...