Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ACD
Find the length side AC
Applying the Pythagorean Theorem

substitute the given values



simplify

step 2
In the right triangle ACD
Find the cosine of angle CAD

substitute the given values

----> equation A
step 3
In the right triangle ABC
Find the cosine of angle BAC

substitute the given values
----> equation B
step 4
Find the value of x
In this problem
----> is the same angle
so
equate equation A and equation B
solve for x
Multiply in cross


step 5
Find the length of BC
In the right triangle BCD
Applying the Pythagorean Theorem

substitute the given values



simplify

Right angle (angle p) = 90°
supplementary means total equals 180°
so 90° + q = 180°
subtract 90° from both sides
q = 90°
Answer: 142°
Step-by-step explanation:
∡BAC= 38°
∡BAN= 180°-38° = 142°
Answer:
See below
Step-by-step explanation:
I assume you mean 
The equation is already in vertex form
where
affects how "fat" or "skinny" the parabola is and
is the vertex. Therefore, the vertex is
.
The axis of symmetry is a line where the parabola is cut into two congruent halves. This is defined as
for a parabola with a vertical axis. Hence, the axis of symmetry is
.
The minimum value is the smallest value in the range of the function. In the case of a parabola, the y-coordinate of the vertex is the minimum value. Therefore, the minimum value is
.
The interval where the function is decreasing is 
The interval where the function is increasing is
Answer:
Cf is the answer, Cf is also known as Californium.-
-Seth