Answer:
x = 1.5
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin60° =
, then
sin60° =
=
=
( cross- multiply )
2x = 3
( divide both sides by 2 )
x = 1.5
Answer:
The given sequence 6, 7, 13, 20, ... is a recursive sequence
Step-by-step explanation:
As the given sequence is

- It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.
As
, 
As d is not same. Hence, it cannot be an arithmetic sequence.
- It also cannot be a geometrical sequence and exponential sequence.
It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.
As
,
, 
As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.
So, if we carefully observe, we can determine that:
- The given sequence 6, 7, 13, 20, ... is a recursive sequence.
Please have a close look that each term is being created by adding the preceding two terms.
For example, the sequence is generated by starting from 1.

and

for n > 1.
<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>
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Answer:
11-3=8
Step-by-step explanation:
so your answer is going to equal 8
Solve the equation for
x
by finding
a
,
b
, and
c
of the quadratic then applying the quadratic formula.
Exact Form:
x
=
−
3
±
√
6
3
Decimal Form:
x
=
−
0.18350341
…
,
−
1.81649658
…
Answer:
20/41 (it can't be reduced or simplified)
Step-by-step explanation:
41 is a prime number hence cannot be divided by anything.
Therefore, 20/41 simplified is still 20/41 and in decimal format is 0.488(3 d.p)