9514 1404 393
Answer:
1/3; geometric
Step-by-step explanation:
Apparently, your sequence is ...
81, 27, 9, 3, 1, ...
The differences between these numbers vary, but the ratio of each to the one before is a constant:
27/81 = 9/27 = 3/9 = 1/3
The sequence is geometric with a common ratio of 1/3. The next number in the sequence is (1)(1/3) = 1/3.
We have the expression

We have to convert the expression in a single-term expression. We apply the distributive property:

b) We have to substitute five different values into the expressions 5x+2x and 7x-1.
The first expression is equal to 5x+2x=7x.
We then can predict that the difference between 7x and 7x-1 is 1.
For example, for x=2, we have 7x=7*2=14 and 7x-1=7*2-1=14-1=13.
We can calculate if the two expressions can be equal, we write:

There is no value that can make both expressions equal.
Both equations have a difference of 1 for any value of x.
The position of the kite with the point directly beneath the kite at the same
level with the hand and the hand for a right triangle.
- The height of the kite above the is approximately <u>66.314 feet</u>.
Reasons:
The height of his hands above the ground, h = 2.75 feet
Angle of elevation of the string (above the horizontal), θ = 26°
Length of the string, <em>l</em> = 145 feet
Required:
The height of the kite above the ground.
Solution:
The height of the kite above the ground is given by trigonometric ratios as follows;

Therefore;

The height of the kite above the,
≈ <u>66.314 feet</u>
Learn more about trigonometric ratios here:
brainly.com/question/9085166