Answer:
S = 15π = 47.12
length of arc S = 15π
Attached is the image of the arc.
Step-by-step explanation:
Given;
Radius arc r = 10
Angle at the center of arc ⍉ = 3π/2
The length of the arc S can be derived using the formula;
S = r × ⍉
Substituting the values;
S = 10 × 3π/2
S = 30π/2
S = 15π = 47.12
length of arc S = 15π
Given:
The leading coefficient of a polynomial is 8.
Polynomial roots are 1 and 2.
The graph passes through the point (4,5).
To find:
The 3rd root and the equation of the polynomial.
Solution:
The factor form of a polynomial is:
Where, a is a constant and are the roots of the polynomial.
Polynomial roots are 1 and 2. So, and
are the factors of the polynomial.
Let the third root of the polynomial by c, then is a factor of the polynomial.
The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:
The graph passes through the point (4,5). Putting , we get
Divide both sides by 48.
Therefore, the 3rd root on the polynomial is .