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
Answer:
z = 70
Step-by-step explanation:
Explanation: To solve this proportion for z, we can use cross products.
When we get the equation 5z = 350, we can get z by itself on the left side of the equation by dividing both sides of the equation by 5. On the left, the 5's cancel each other out and we have z. On the right, 350 divided by 5 simplifies to 70 so we have z = 70.
Answer:
<h2><u><em>
x =</em></u><u><em> </em></u><u><em>
3.75</em></u></h2><h2><u><em>
or</em></u></h2><h2><u><em>
x = 3 3/4</em></u></h2>
Step-by-step explanation:
4x - 7 = 8
What is the value of x? Show your working.
4x - 7 = 8
4x = 8 + 7
4x = 15
x = 15 : 4
x = 3.75
or
x = 3 3/4
--------------------
check
4 * 3.75 - 7 = 8
15 - 7 = 8
8 = 8
the answer is good
Answer:
Kite.
Step-by-step explanation:
Quadrilateral Q is a kite since it has 2 different pairs of equal sides.
