The rule of a geometric sequence:

We have:

Find 
substitute:

Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
- distance across the pond: x yd
- distance walked by Sandy: 5 yd
- distance walked by Garret: x-1 yd
A right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
Answer:
40 feet
Step-by-step explanation:
Given : The deck is at a height of 520 ft. She sees her friend on the ground below at an angle of depression of 85.6 degrees.
To Find : What is the distance between the two? Round your answer to the nearest tenth of a foot.
Solution :
Refer the attached figure
Height of deck =AB =520 ft.
Angle of depression ∠C = 85.6°
We are supposed to find length of BC i.e. distance between two.
We will use trigonometric ratios :





Thus the distance between two is 40 feet
Answer:
Probability to get tails exactly 8 times or exactly 5 times is 0.29
Step-by-step explanation:
No of ways the coins lands tails exactly 8 times
P(8) = 15C8 ×
× 
No of ways the coin lands tails exactly 5 times
P(5) = 15C5 ×
× 
Probability to get tails exactly 8 times or 5 times
P(8)+P(5) = 15C8 ×
+ 15C5 × 
P =
( 15C8 + 15C5 )
P =
( (
) + (
) )
P =
( 6435 + 3003 )
P =
( 9438)
P =
( 4719)
P = 
P = 0.29