Answer:
124°
Step-by-step explanation:
We are to solve for the central angle.
In the question,
We are given
The length of the radius or radius = 6 inches
The length of the arc or the arc length (AB) = 13 inches
The formula for the Arc length of a circle = 2πr × (central angle in degree ÷ 360)
From the above formula, we can derive our formula for the measure of the central angle.
The formula for the measure of the central angle AOB =( Arc length × 360 ) ÷ 2πr
Angle AOB = (13 inches × 360) ÷ 2 × π × 6 inches
Angle AOB = 4680 ÷ 37.699111843
Angle AOB = 124.14083392°
Approximately Angle AOB to the nearest degree = 124°
Therefore, the measure of angle AOB to the nearest degree = 124°
Answer:
(- ,
)
Step-by-step explanation:
Given the2 equations
6 - 2x = y → (1)
14 + 3x = y → (2)
Substitute y = 14 + 3x into (1)
6 - 2x = 14 + 3x ( subtract 3x from both sides )
6 - 5x = 14 ( subtract 6 from both sides )
- 5x = 8 ( divide both sides by - 5 )
x = -
Substitute x = - into either of the 2 equations for the corresponding value of y
Substituting into (1)
y = 6 - 2(- ) =
+
=
solution is ( - ,
)