Answer:
A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.
Step-by-step explanation:
The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:
(1)
Where:
- Angle formed between the zip line and the tower, measured in sexagesimal degrees.
- Vertical distance between the tower and the platform, measured in meters.
- Length of the zip line, measured in meters.
If we know that 
and 
, then the length of the zip line is:
A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.
The other number could be any number that isn't an even number. For instance: 1,3,5,7,9,11,13,15,17... (you get it)
Answer:
The first term of the series is 125.
Step-by-step explanation:
The sum of the first four terms of a geometric series can be described by the following equation:
Where x1 is the first term and r is the common ratio. Replacing the given values into the equation to solve for x1 yields:
The first term of the series is 125.
Answer:
14
Step-by-step explanation:
A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base.
An isosceles trapezoid is a trapezoid with equal legs. The diagonals are also equal and both the upper and lower base angles are congruent.
From the question:
KV = IE = 2x + 6 (diagonals of a trapezoid are congruent)
From line segment addition postulate:
KV = KN + NV
substituting:
2x + 6 = 10 + x
2x + 6 - x = 10
x + 6 = 10
x = 10 - 6
x = 4
KV = 2x + 6
substituting x = 4:
KV = 2(4) + 6
KV = 14
F^-1 (x)= -x/5 + 4/5 (Answer)
