The distance from the tower to the fire is 529.10feet
<h3>Angle of depression</h3>
The distance from the tower to the fire is the hypotenuse of the resulting triangle
Given the following
- Height of the tower = 110ft
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 12 = 110/H
H = 110/sin12
H = 110/0.2079
H = 529.10
Hence the distance from the tower to the fire is 529.10feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
Answer:
The width of the rectangle is 2.3 m
Step-by-step explanation:
Now, when we are asked to find the area of the rectangle, we will use the formula: 
. We should be given with at least two values, and then we can use the above formula and can find the third variable.
Now, we are given that the area of a rectangle is 12.65 
and the length measures 5.5 m
So the width is given as:
So this is the required with of the rectangle.
Answer:
510
Step-by-step explanation:
(0.68)750
shift decimal places
510.00
refine:510
Answer:
140y
Step-by-step explanation:
35 times a number times -4 is 35×y×(-4) which is -140y
