Question

Assume α is opposite side a, β is opposite side b, and γ is opposite side c. Solve the triangle, if possible. Round your answers to the nearest tenth. (If not possible, enter IMPOSSIBLE.) α = 60°, β = 60°, γ = 60°

a=

b=

c=

Answer #1

Thus it is impossible to find the exact value of a b and c..

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Assume α is
opposite side a, β
is opposite side b,
and γ is opposite
side c. Determine
whether there is no
triangle, one triangle,
or two triangles.
Then solve each
triangle, if possible.
Round each answer
to the nearest
tenth ?=20.5,?=35.0,?=25°

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,...

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 to find the
remaining side and one of the other angles. (Round your answers to
one decimal place.)
α = 46°; b =
12; c = 18

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 Sines to find the
remaining sides. (Round your answers to one decimal place.)
β = 99°; γ =
29°; c = 20

Solve for the remaining side(s) and angle(s) if possible. (Round
your answers to two decimal places. If not possible, enter
IMPOSSIBLE.)
α = 3°, a = 63, b = 100
smaller β β
=
°
γ
=
°
c
=
larger β β
=
°
γ
=
°
c
=

Solve ΔABC. (Round your answer for b to one
decimal place. Round your answers for α and γ to
the nearest 10 minutes. If there is no solution, enter NO
SOLUTION.)
β =
72°10', c =
14.2, a = 86.6
b
=
α
=
° '
γ
=
° '

Use the Law of Cosines to find the remaining side and angles if
possible. (Round your answers to two decimal places. If an answer
does not exist, enter DNE.)
a = 8, b = 12, γ = 67.7°
c
=
α
=
°
β
=
°

Find an angle γ in degrees in the triangle for which α = 30
degrees, b = 44 inches, and a = 22 inches. There is(are) exactly
_____ such triangles. In this case γ = _______degrees is a possible
angle.

Let X1,...,Xn i.i.d. Gamma(α,β) with α > 0, β > 0
(a) Assume both α and β are unknown, find their momthod of moment
estimators: αˆMOM and βˆMOM. (b) Assume α is known and β is
unknown, find the maximum likelihood estimation for β.

For the random variables, Y and X, find α, β and γ that minimise
E[(Y−α−βX−γX^2)^2|X].
Show all derivations in your answer. You may interchangeably use
differentiation and expectation.

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