Answer: a) 0.07910, b) 0.000976, c) 0.7626
Step-by-step explanation:
Since we have given that
Number of questions = 5
Number of choices = 4
P(getting correct) = 
a) the first question she gets right is the 5th question?
P(getting 4 wrongs answers and one right answer) is given by
b) she gets all of the questions right?
P(all right )= 
c) she gets at least one question right?
1-P(All of them wrong)
Hence, a) 0.07910, b) 0.000976, c) 0.7626
Answer:
The amplitude is 
Step-by-step explanation:
Let f(x) be a sinusoid function that has the following format:
Then b is the amplitude of the function
h is the vertical displacement of the wave
s is the phase angle
is the period.
In this problem 
Then 
Therefore the amplitude of the function is
The amplitude is a measure of the vertical size of the sinx wave
5 and 4 are two in inequalities because they make 5 bigger then 13
Answer:
C - The failure was a starting point for a buildup of aggression around the world.
Step-by-step explanation:
EDGE2021 :-)
Have a nice day! ;)
<h3>
Answer: A. 18*sqrt(3)</h3>
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Explanation:
We'll need the tangent rule
tan(angle) = opposite/adjacent
tan(R) = TH/HR
tan(30) = TH/54
sqrt(3)/3 = TH/54 ... use the unit circle
54*sqrt(3)/3 = TH .... multiply both sides by 54
(54/3)*sqrt(3) = TH
18*sqrt(3) = TH
TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer
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An alternative method:
Triangle THR is a 30-60-90 triangle.
Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.
The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.
Now use the pythagorean theorem
a^2 + b^2 = c^2
(TH)^2 + (HR)^2 = (TR)^2
(x)^2 + (54)^2 = (2x)^2
x^2 + 2916 = 4x^2
2916 = 4x^2 - x^2
3x^2 = 2916
x^2 = 2916/3
x^2 = 972
x = sqrt(972)
x = sqrt(324*3)
x = sqrt(324)*sqrt(3)
x = 18*sqrt(3) which is the length of TH.
A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.
