Answer:61.8°
Step-by-step explanation:
Length of arc=(theta)/360 x 2 x π x radius
9.7=(theta)/360 x 2 x 3.14 x 9
9.7=56.52(theta)/360
cross multiply
9.7 x 360=56.52(theta)
3492=56.52(theta)
Divide both sides by 56.52
3492/56.52=56.52(theta)/56.52
61.8=theta
theta=61.8°
Answer:
a = 
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 9² = 12²
a² + 81 = 144 ( subtract 81 from both sides )
a² = 63 ( take square root of both sides )
a = 
Solving a polynomial inequation
Solving the following inequation:
(x - 8) (x + 1) > 0
We are going to find the sign both parts of the multiplication,
(x - 8) and (x + 1), have when
x < - 8
-8 < x < 1
1 < x
Then we know (x - 8) (x + 1) > 0 whenever (x - 8) (x + 1) is positive
We can see in the figure (x - 8) (x + 1) is positive when x < -8 and x > 1
Then
Answer:B