The number is multiplied by 3 every time
and next three terms are 1/324, 1/972 and 1/2916
good luck
Answer:
It has to be a Pythagorean triple set.
Step-by-step explanation:
The independent variable is the number of passes.
Then the number of touchdowns depends on the number of passes. The number of touchdowns is the dependent variable.
The rest of the question is the attached figure.
Solution:
As shown in the figure
ΔABC is an isosceles right triangle at B
AB = BC and AC is the hypotenuse ⇒ AC = 260 ft
using Pythagorean theorem
∴ AC² = AB² + BC² = AB² + AB² = 2 AB²
∴ AB² = AC²/2 = 0.5 AC²
∴ AB = √(0.5 AC²) = √(0.5 * 260²) = 130√2 ft →(1)
Also as shown in the figure
ΔADB is a right triangle at D
from (1) AB = 130√2 ft
given BD = 105 ft
we should know that ⇒
∴ θ = sin⁻¹ 0.571 ≈ 34.82° = 35° ( to the nearest degree )
So, the value of θ = 35°