By row, we have the number of students who like Ping Pong is 44 students and those who don't like Ping Pong is 56 students.
The number of students who like both Ping Pong and Dodgeball is 26 out of 44 students who like Ping Pong
Answer: 26/44 = 13/22
Answer:
diffusion
Step-by-step explanation:
Diffusion is the movement of particles from an area of high concentration to an area of low concentration
Answer:
3-)
5-)
Step-by-step explanation:
Answer:
I believe the equation your looking for is 45+x=180!
Step-by-step explanation:
The total degrees your are going to get is 180°. You already know one angle which is 45°. So you would do 180-45 to solve the equation and find the unknown angle! Hope that helped
Answer:
√
8
≈
3
Explanation:
Note that:
2
2
=
4
<
8
<
9
=
3
2
Hence the (positive) square root of
8
is somewhere between
2
and
3
. Since
8
is much closer to
9
=
3
2
than
4
=
2
2
, we can deduce that the closest integer to the square root is
3
.
We can use this proximity of the square root of
8
to
3
to derive an efficient method for finding approximations.
Consider a quadratic with zeros
3
+
√
8
and
3
−
√
8
:
(
x
−
3
−
√
8
)
(
x
−
3
+
√
8
)
=
(
x
−
3
)
2
−
8
=
x
2
−
6
x
+
1
From this quadratic, we can define a sequence of integers recursively as follows:
⎧
⎪
⎨
⎪
⎩
a
0
=
0
a
1
=
1
a
n
+
2
=
6
a
n
+
1
−
a
n
The first few terms are:
0
,
1
,
6
,
35
,
204
,
1189
,
6930
,
...
The ratio between successive terms will tend very quickly towards
3
+
√
8
.
So:
√
8
≈
6930
1189
−
3
=
3363
1189
≈
2.828427
