Answer:
Step-by-step explanation:

Answer:
12.1 cm
Step-by-step explanation:
Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.
sin(C)/c = sin(A)/a
C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°
Then angle B is ...
B = 180° -A -C = 180° -81° -36.86° = 62.14°
and side b is ...
b/sin(B) = a/sin(A)
b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835
The length of AC is about 12.1 cm.
_____
<em>Comment on the solution</em>
The problem can also be solved using the law of cosines. The equation is ...
13.5² = 8.2² +b² -2·8.2·b·cos(81°)
This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.
b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)
b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit
Combine q terms
-30 = 12q - 10
Add 10 to both sides
-20 = 12q
Simplify
Q = -5/3
Answer:
A cube number is a number multiplied by itself 3 times.
Step-by-step explanation:
A cubed number looks like this: 
The x is whatever number is being cubed.
The Length of third side of the triangle is 4x +5
What is the Triangle?
A triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
How to determine the length of the third side of the Triangle?
The given parameters are:
Length of the first side = 3x+2
Length of the second side =7x-4
Perimeter of the triangle =14x+3
Now, The perimeter is the sum of the sides of lengths
So, we have
Perimeter = sum of the sides of lengths
According to the question:
14x+3 =3x+2 +7x -4 + third side
Evaluate the like terms
14x-10x = -2 -3
third side = 4x + 5
Hence, The length of the third side of the triangle is 4x+5
Learn more about of perimeter of the triangle
brainly.com/question/19214072
#SPJ4