Answer:
(nearest tenth)
Step-by-step explanation:
Given the distance formula, 
, distance between (-4, 5) and (4, 0) is calculated as follows:
Let 
(nearest tenth)
Answer:
The required sequence is 
. The average rate of change from n = 1 to n = 3 is -7.5.
Step-by-step explanation:
From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.
Here, 
The common ratio of GP is 1/2.
The first term of the sequence is 20.
The formula for sequence is
Where a is first term and r is common difference.
The required sequence is
The formula for rate of change is
The average rate of change from n = 1 to n = 3 is
Therefore the required sequence is . The average rate of change from n = 1 to n = 3 is -7.5.
Answer:
B = 612.2 ft
Step-by-step explanation:
Solution:-
- The elevation of person, H = 235 ft
- The angle of depression, θ = 21°
- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.
- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.
tan ( θ ) = H / B
B = H / tan ( θ )
B = 235 / tan ( 21 )
B = 612.2 ft
2: Midpoint of segment AC is given as B3: Given4: Knowing that AC~=BC, AC~= DE
