The length of an arc is given by θ/360×2πr, where θ is angle subtended by the arc to the center and r is the radius of the circle.
The length is 12 units, and θ/360 is 1/3
Therefore, 12 = 1/3 × 3.142 ×r
r = 12× 3/3.142
r = 11.457 units
≈ 11 units
Well, to find the answer to this problem you have to change the -15 to a positive (+15) and add the two numbers together. And, 15 + 68 = +83 degrees.
So, your answer is: A. +83 degrees.
It's really easy because all your doing is changing the -15 to a positive 15 and adding the two numbers together to get your answer.
Hope I helped!
- Debbie
Answer:
a
n
=
−
2
n
+
15
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
−
2
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
−
2
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
13
and
d
=
−
2
.
a
n
=
13
+
(
−
2
)
(
n
−
1
)
Simplify each term.
Tap for more steps...
a
n
=
13
−
2
n
+
2
Add
13
and
2
.
a
n
=
−
2
n
+
15
Yes because 2.799 has a extra digit but if there is an answer that they can be the same then they are the same