The blue figure is translated <u>5</u> units <u>left</u> and <u>2</u> units <u>down</u> from the red figure.
Answer:
total area of the garden and walkway = 2a² + 21a + 54
Step-by-step explanation:
The walkway surrounds the rectangular garden. The width of the garden is 9 ft and the length is 12 ft. Since the width of the walkway around the garden is the same on every side let us use a to represent the width around the garden.
The garden is rectangular and the width of the walkway around the garden is uniform. The width added on both end of the width of the rectangle will be 2a while the width added to the both length of the rectangle will be 2a also.
Therefore
total area of the garden and walkway = length × width
length of garden and the walkway = 2a + 12
width of garden and the walkway = 2a + 9
total area of the garden and walkway = (2a + 12)(2a + 9)
total area of the garden and walkway = 4a² + 18a + 24a + 108
total area of the garden and walkway = 4a² + 42a + 108
divide through by 2
total area of the garden and walkway = 2a² + 21a + 54
The angle of depression from the bird to the observer is 41.81°
<h3 />
<h3>Angle of depression</h3>
The angle of depression can be calculated using trigonometric ratios. The situation forms a right angle triangle. A right angle triangle has opposite , adjacent and hypotenuse side.
Using trigonometric ratio,
- sin B = opposite / hypotenuse
Therefore,
sin B = 6000 / 9000
sin B = 0.66666666666
B = sin⁻¹ 0.666666
B = 41.8103143833
B ≈ 41. 81°
learn more on angle of depression here: brainly.com/question/24600261?referrer=searchResults
You can construct a residual plot, plotting the x values against the values of the residuals; if there is a non-linear pattern in the residual plot then it would not be suitable to use linear regression, whilst if there is no noticeable pattern (ie. the points are randomly scattered) then the relationship is linear and a line of best fit could be appropriate.
Answer: answer is A 11/16
Step-by-step explanation: