The solution of the given expression will be 
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition,substraction, multiplication and division.
The given expression will be calculated as:-

Hence the solution of the given expression will be 
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Answer:
Step-by-step explanation:
because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A
so the first choice is out.
use the law of cosines to find b
= 
=1681+400-1326.787871
= 754.21219
b= 
b= 27.46292
so the last choice looks good
The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
<h3>The sinusoidal function</h3>
The minimum and the maximum of the function are
The amplitude (A) is calculated as:
A = 0.5 * (Maximum - Minimum)
So, we have:
A = 0.5 * (-5 + 1)
A = -2
The vertical shift (d) is calculated as:
d = 0.5 * (Maximum + Minimum)
So, we have:
d = 0.5 * (-5 - 1)
d = -3
The period (P) is calculated as:
P = 2π/B
From the graph,
B = 1
So, we have:
P = 2π/1
P = 2π
So, the amplitude is -2 and the period is 2π.
<h3>The equation of the sine function</h3>
In (a), we have:
A = -2
B = 1
d = -3
A sine function is represented as:
y = A sin(Bx + C) + D
So, we have:
y = -2sin(x + C) - 3
The graph passes through the point (0, -5)
So, we have
-5 = -2sin(0 + C) - 3
Solve for C, we have
C = 1.5
So, we have:
y = -2sin(x + 1.5) - 3
Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
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Answer:
400
Step-by-step explanation:
The computation of the sample size needed is shown below:
Since at the sample size of 200 there is a standard deviation of 0.08
But when the standard deviation is 0.04 so the sample size is 400
As sample standard deviation would be inversely proportional to the square root of the sample size
Answer:
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