Answer: 31.43 cm
Step-by-step explanation:
The length of an arc is calculated using the formula:
X 2
r
where : theta is the angle in degree
r = radius
If the angle is given in Radian , the length can be calculated using the formula:
L = r∅
Since , the angle is given in degree , we will use the first formula.
L = X 2r
L = 
X 2 X π X 15
L = 
X 2 X 
X 15
L = 
L = 31.42857143
L ≈ 31.43 cm
Answer:
x=y-6/3y+1
Step-by-step explanation:
3xy+x=y−6
Step 1: Factor out variable x.
x(3y+1)=y−6
Step 2: Divide both sides by 3y+1.
x(3y+1)
3y+1
=
y−6
3y+1
This equation is NEVER true. Let's solve the equations algebraically by applying the Distributive Property of Multiplication and transposing the terms across the equality sign. The solution is as follows:
<span>2(5x+4)=10x+6
10x + 8 = 10x + 6
10x - 10x = 6 - 8
0 = -2
Therefore, it is not true.</span>
Using supplementary angles, it is found that the measures of the angles are given as follows:
<h3>What are supplementary angles?</h3>
Supplementary angles are two angles whose sum is of 180º.
An interior angle is supplementary with it's exterior angle, hence:
m<a + 150º = 180º -> m<a = 30º.
The sum of the three interior angles of a triangle is of 180º, hence:
30º + m<b + 60º = 180º
90º + m<b = 180º
m<b = 90º.
More can be learned about supplementary angles at brainly.com/question/12919120
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