Answer:D
Step-by-step explanation:
Option C: The solution set is 
Explanation:
The expression is 
Now, let us find the solution set.
Switch sides, we get,

Dividing by 2 on both sides, we have,

Thus,
Hence, the above expression becomes,

Simplifying, we get,

Applying the log rule, we get,

Simplifying, we have,

Applying the log rule, we have,

Thus, the solution set is 
Hence, Option C is the correct answer.
The answer is the letter c. 3
<span>there are 16 cups in one gallon</span>
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6