Question

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°

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

Solve the following SSA triangle. Indicate whether the given
measurements result in no triangle, one triangle, or two
triangles. Solve each resulting triangle. Round each answer to the
nearest tenth. Equals 92 degrees°, a equals 16, b equals 23

1. In a triangle, β = 106°, b = 20, a = 25. Find the angle
α.
2. If v = 5i - j and w = 2i - j, find ||v+w|| .
3.In the given triangle, find the side b. β = 35°, c= 10, a =
4

Assume that α-D-glucose and β-D-glucose are levorotatory and
dextrorotatory respectively. The specific rotation Z of an
optically active compound in a set of conditions of temperature and
wavelength is give by the equation:
Z = observed optical rotation (°)/optical length (dm) and
concentration (g/mL)
A freshly prepared solution of α-D-glucose shows a specific
rotation of =122°. Over time, the rotation of the solution
gradually decreases and reaches equilibrium of 52.5°. In contrast a
freshly prepared solution of β-D-glucose has a...

1) Draw and name the following
monosaccharides
a) Anomer of β-D-allose
b) Enantiomer of D-allose
c) The pyranose and furanose forms of D-allose
d) The epimer of D-galactose (either the α or β anomer)
e) One of β-D-allose diasteroisomer
f) the corresponding aldopentose of D-allose with the same
stereochemistry at each chiral center
2) Determine the relationship between the following
pairs of sugars (anomers, enantioners, epimers, diasteroisomers,
aldose and ketose pair, others (define the
relationship):
a) D-mannose and D-altrose
b)...

Consider a paint-drying situation in which drying time for a
test specimen is normally distributed with σ = 7. The
hypotheses H0: μ = 74 and
Ha: μ < 74 are to be tested using a
random sample of n = 25 observations.
(a) If x = 72.3, what is the conclusion using
α = 0.003?
Calculate the test statistic and determine the P-value.
(Round your test statistic to two decimal places and your
P-value to four decimal places.)
z...

MATH125: Unit 1 Individual Project Answer Form
Mathematical Modeling and Problem Solving
ALL questions below regarding SENDING A PACKAGE and PAINTING A
BEDROOM must be answered. Show ALL step-by-step calculations, round
all of your final answers correctly, and include the units of
measurement. Submit this modified Answer Form in the Unit 1 IP
Submissions area.
All commonly used formulas for geometric objects are really
mathematical models of the characteristics of physical objects. For
example, a basketball, because it is a...

Consider the hypotheses shown below. Given that x=41, σ=11,
n=32, α=0.05, complete parts a and b.
H0:μ ≤ 38
H1: μ > 38
a. What conclusion should be drawn?
b. Determine the p-value for this test.
a. The z-test statistic is What? . (Round to two decimal
places as needed.)
The critical z-score(s) is(are) What? . (Round to two decimal
places as needed. Use a comma to separate answers as needed.)
Because the test statistic ▼ (is greater than the...

Assume that a hypothetical economy with an MPC of 0.75 is
experiencing a severe recession.
a. By how much would government spending have to
rise to shift the aggregate demand curve rightward by $25
billion?
Instructions: Round your answer to two decimal
places.
$ billion
b. How large a tax cut would be needed to achieve
the same increase in aggregate demand?
Instructions: Round your answer to two decimal places.
Enter a positive value.
$ billion
c. Determine one possible combination of...

Consider a paint-drying situation in which drying time for a
test specimen is normally distributed with σ = 9. The
hypotheses H0: μ = 73 and
Ha: μ < 73 are to be tested using a
random sample of n = 25 observations.
(a) How many standard deviations (of X) below the null
value is x = 72.3?
(b) If x = 72.3, what is the conclusion using
α = 0.004?
Calculate the test statistic and determine the P-value.
(Round...

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