The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
Answer:
Solutions: (-2. -6), (1, -2), (10, 3), (5, 3)
Step-by-step explanation:
The ball is at a height of 14 feet after 1.17 and 0.64 seconds.
This is an example of a quadratic equation. Write out the equation with 14 in the place of the height. Then, set it equal to zero.
14 = 2 + 29t - 16t^2
0 = -16t^2 + 29t -12
Now, we can use the quadratic equation to solve.
A = -16
B = 29
C = -12
You will get the solutions of 1.17 and 0.64.
Answer:
The sum of the first 880 terms in the sequence is 2,273,920.
Step-by-step explanation:
Arithmetic sequence:
The difference between consecutive terms is always the same, called common difference, and the nth term is given by:
In which d is the common difference.
Sum of the first n terms:
The sum of the first n terms of an arithmetic sequence is given by:
ai = ai-1 + 6
This means that 
In this question:
Sum of the first 800 terms, so 
First term is -53, so 
The 880th term is:
Sum
The sum of the first 880 terms in the sequence is 2,273,920.
Answer:
The answer is B
Step-by-step explanation:
Its just B
