Answer:
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Step-by-step explanation:
176.1
units
2
Explanation:
A
shaded
=
A
circle
−
A
hexagon
A
circle
=
π
r
2
=
π
⋅
18
2
=
324
π
We can split up the hexagon into 6 regular triangles.
A
hexagon
=
6
⋅
A
triangle
=
6
⋅
1
2
b
h
Since the triangles are regular, the base is equal to the radius,
18
. We can represent the height by taking one of the triangles and drawing a line down the middle. The newly formed triangle is a
30
°
−
60
°
−
90
°
right triangle.
Answer:
0.15 or 15%
Step-by-step explanation:
Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:

In this case, a = 47.0 and b = 52.0 minutes.
The probability that a given class period runs between 50.25 and 51.0 minutes is:

The probability is 0.15 or 15%.
Answer:
91 minutes
Step-by-step explanation:
1 hour= 60 minutes.
31 minutes + 60 minutes = 91 minutes.
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Answer:
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1 - cos 2 x = 1 - ( cos² x - sin² x ) = 1 - cos² x + sin² x = sin² x + sin² x =
= 2 sin² x

=
- √2 cos x + C