The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:
c² = a² + b² - 2abcosC
16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC
C = 91.2°
Also:
a² = b² + c² - 2bccosA
8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA
A = 31.4°
A + B + C = 180° (angles in a triangle)
31.4 + B + 91.2 = 180
B = 57.4°
The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
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Answer:
critical value is 4.41
Step-by-step explanation:
Given data
n = 10
α = .05
to find out
the critical value
solution
first we calculate degree of freedom i.e
degree of freedom = n -1
degree of freedom = 10 - 1
degree of freedom = 9
and
degree of freedom 2 =( n -1 ) 2
degree of freedom 2 =( 10 -1 ) 2
degree of freedom 2 = 18
so for degree of freedom 9 and degree of freedom 2 is 18 and α = .05
critical value is 4.41
The answer is:
50(16n+21)
If we let x be the first number and y be the second, we have (x + y) =13 and (2x - 3y) = 1.
From the first equation, we have x = (13- y). Substituting this into the second one, we have 2(13 - y) - 3y = 1.
Distributing the equation and re-arranging it, we now have (-5y) = (-26). Dividing both sides by -5, we have y = 5.
Now x = (13 - y) = 8.
Therefore, the two numbers are 5 and 8<span>. </span>
