<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>
<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)
Answer:
x = -.5
Step-by-step explanation:
x - 2.5 = -3
Add 2.5 to each side
x - 2.5+2.5 = -3+2.5
x = -.5
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of years since 2008,
g(x) ----> the percent of people 25 years and older who have completed at least high school
we know that
so
For x=15 years since 2008
substitute
That means
In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%
Answer:
21 square units
Step-by-step explanation:
The sides of the rectangle are aligned with the coordinate grid, so we can easily find its dimensions.
AB lies on the line y = -2, so the horizontal extent is the difference in x-values:
6 - 3 = 3
BC lies on the line x = 6, so the vertical extent is the difference in y-values:
5 -(-2) = 7
The area is the product of these two dimensions:
A = LW = (7)(3) = 21 . . . . square units
The area of the rectangle is 21 square units.
The correct answer is B because after you simplifiy the expression, you would get that answer:
7x + 3y - 2 + 6x + 1 + y^2
combine all the like terms to one side first
7x + 6x - 2 + 1 + y^2
then simplify
13x - 1 + y^2 or y^2 + 3y + 13x - 1
