Answer:
The change in the angle of elevation is approximately 63.435°
Step-by-step explanation:
The given parameters are;
The speed of the tightrope walker = 3 ft./sec
The altitude at which the tightrope walker is moving = 100 ft.
The horizontal distance of the tightrope walker from the searchlight = 200 feet
The final angle of elevation, θ, is given by the trigonometric ratio as follows;
Whereby the tightrope walker was initially vertically overhead the search light, the initial angle of elevation = 90°
The change in the angle of elevation = The initial angle of elevation - The final angle of elevation
Substituting the values gives
The change in the angle of elevation = 90° - 26.565 ≈ 63.435°
Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :
General equation of hyperbola is :
Hence, this is the required solution.
The answer is 441 by multiplying the number of red cars with 7
First multiply 12 by 8 to get 96
that is the total amount of seats including the broken ones. then multiply 3 by 4 to get the section of broken seats. 3 being the amount of rows that have broken seats an 4 is the amount of broken seats per row. you wind up with 12 broken seats.
Now subtract 12 from 96 to get 84 functional seats
Answer:
three consecutive odd integers are.
Step-by-step explanation:
Let x be the first term of odd integer,
Therefore, the second consecutive odd integers =
Similarly, the third consecutive odd integers =
Given:
The sum of the first term and second term is 344.
first term + second term = 344
Here first term is x and second term is .
Therefore, the first odd integers is 171.
And the second consecutive odd integers =
Similarly, the third consecutive odd integers =