Answer:
-The value of
:

Step-by-step explanation:
-Solve the inequality for
:

-Multiply both sides by the denominator, which
:


So, the final answer would be
.
Answer:
n + (2n + 5) = 50
Step-by-step explanation:
n = Nina’s age
2n = twice Nina’s age
5= Ryan is 5 years older than twice Nina’s age
50 = both their ages combined.
So,
n + (2n + 5) = 50
We know that
<span>The cosine of the sum of two angles </span><span>is defined by the following trigonometric identity
</span>cos(A + B) = cos A cos B − sin A sin <span>B
A=60</span>°
B=105°
cos A=cos 60
cos B=cos 105
sin A=sin 60
sin B=sin 105
then
cos(60 + 105) = cos 60 cos 105 − sin 60 sin 105
cos(165) = cos 60 cos 105 − sin 60 sin 105
the answer is
cos (105°)
Answer:<em>Exactly one solution.</em>
Step-by-step explanation:
- 32 +9 – 2x = -12 – 5x
1.Add numbers
-23 - 2x= -12-5x
2.Rearrange terms
-2x - 23 = -12 - 5x
3. Rearrange terms
-2x - 23 = -5x-12
4. Add 23 to both sides of the equation
-2x-23+23= -5x-12+23
5.Simplify
-2x= -5x+11
6.Add 5x to both sides of the equation
-2x+5x=-5x+11+5x
7.Simplify
3x=11
8.Divide both sides of the equation by the same factor
= 
9.Simplify and Solution
x= 
Answer:b
Step-by-step explanation: