Answer:
8
Step-by-step explanation:
Vertical angles are congruent, so 9n=8n+8. It follows that n=8.
Answer:
.125
Step-by-step explanation:
(.5)^2(.5)^1= .125
Where (.5)^2 is the probability two mice turn left multiplied by (.5) that one of them turns right.
Answer: It is D
Step-by-step explanation:
Answer:
or 
Step-by-step explanation:
To solve this problem you must:
- Convert the mixed numbers to fractions, as following:


- Multiply both fractions. Mutilply the numerators and the denominators:

- Simplify. Therefore, you obtain that the answer is:
or 
Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.