Step-by-step explanation:
21b
and 21h
The answer is 2.
You would replace the letters with number which it would be 10/5
Substituting <em>x</em> with <em>π</em>/2 - <em>x</em> gives the equivalent integral,

So if we let <em>J</em> denote the value of the integral, we have



Condensing the logarithms, we have
log(tan(<em>x</em>)) + log(cot(<em>x</em>)) = log(tan(<em>x</em>) cot(<em>x</em>)) = log(1) = 0
since cot(<em>x</em>) = 1/tan(<em>x</em>), which means

and so the original integral has a value of <em>J</em> = 0.
Answer:
∠ 2 = 70°
Step-by-step explanation:
∠ 13 and ∠ 14 are adjacent angles and sum to 180° , then
12x - 22 + 9x - 29 = 180
21x - 51 = 180 ( add 51 to both sides )
21x = 231 ( divide both sides by 21 )
x = 11
Then
∠ 14 = 9x - 29 = 9(11) - 29 = 99 - 29 = 70°
∠ 7 = ∠ 14 = 70° ( Alternate angles )
∠ 2 = ∠ 7 = 70° ( Alternate angles )
Answer:
The third sequence.
Step-by-step explanation:
In an arithmetic sequence, the difference between two consecutive terms is the same.
For each option, find the difference between consecutive terms:
First option:
The differences are not the same. As a result, this option is not an arithmetic sequence.
Second option:
The differences are not the same. As a result, this option is not an arithmetic sequence, either.
Third option:
The differences are all
. As a result, this option is indeed an arithmetic sequence. Its common difference is
.
Fourth option:
The differences are varying between
and
. As a result, this option is not an arithmetic sequence.