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
Hey there, 2 out of 5 is 2/5. There are a lot of fractions that is equivalent to 2/5, so I am only going to give you 3, 2/5=4/10, 6/15, and 8/40, 2*2=4 and 5*2=10.
Answer:
7.81 u
Step-by-step explanation:
<u>Given :- </u>
- Two points (3,3) and (-2,-3) is given to us.
And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,
D = √{(x2-x1)² + (y2-y1)²}
D =√[ (3+2)² +(-3-3)²]
D =√[ 5² +6²]
D =√[ 25 +36]
D = 61
D = 7.81
<h3>Hence the distance between the two points is 7.81 units .</h3>
Answer:
I got 4 hours and 16 minutes
Step-by-step explanation:
I divided the amount of money he has ($26) to the amount it takes to rent for one hour ($6.25). To make it more simple you could just say 4 hours worth of rent.
Answer:
17
Step-by-step explanation:
6 + 11 = 17
Sum (addition of 2 numbers)
