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°
It is B because tangent lines are always perpendicular to radii
We need to get x alone, to do that we add 1 to both sides to cancel out the -1 on the right.
-4 = x -1
+1 +1
-3=x
This means x is equal to -3. Hope this helps!
Answer:
x = -1
Step-by-step explanation:
5 + 2x + 6 = x + 10
11 + 2x = x + 10
-x -x
11 + x = 10
-11 -11
x= -1
Answer:
0.38268343
Step-by-step explanation:
cos(
67.5
)
Rewrite
67.5
as an angle where the values of the six trigonometric functions are known divided by 2
.
cos
(
135\
2)
Apply the cosine half-angle identity.
±
√
1
+
cos
(
135
)
2
Change the
±
to
+
because cosine is positive in the first quadrant.
√
1
+
cos
(
135
)
2
Simplify
√
1
+
cos
(
135
)
2
√
2
−
√
2
2
The result can be shown in multiple forms.
Exact Form:
√
2
−
√
2
2
Decimal Form:
0.38268343
…
