<em>Answer:</em>
<em>The answer is 18k + 22p - 10</em>
<em>Step-by-step explanation:</em>
<em>That is the right answer </em>
<span>prime factors are prime numbers that can be multiplied to give the number.
to find the prime factors the number is divided by the prime numbers by which the number is divisible.
24 / 3 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
24 is divisible by 3 , 2 , 2 and 2.
therefore 24 written as a product of its prime factors is 24 = 2 x 2 x 2 x 3</span>
Answer:
cos
(
5
π
12
)
=
√
2
−
√
3
2
Explanation:
By the half angle formula:
XXXX
cos
(
θ
2
)
=
±
√
1
+
cos
(
θ
)
2
If
θ
2
=
5
π
12
XXXX
then
θ
=
5
π
6
Note that
5
π
6
is a standard angle in quadrant 2 with a reference angle of
π
6
so
cos
(
5
π
6
)
=
−
cos
(
π
6
)
=
−
√
3
2
Therefore
XXXX
cos
(
5
π
12
)
=
±
⎷
1
−
√
3
2
2
XXXXXXXXXXX
=
±
⎷
2
−
√
3
2
2
XXXXXXXXXXX
=
±
√
2
−
√
3
4
XXXXXXXXXXX
=
±
√
2
−
√
3
2
Since
5
π
12
<
π
2
XXXX
5
π
12
is in quadrant 1
XXXX
→
cos
(
5
π
12
)
is positive
XXXX
XXXX
XXXX
(the negative solution is extraneous)
answer in pic more explain