I got V = X to the power of 5
A is filling more quickly because the amount of water increases during a smaller period of time
The percentage depreciation is 27 % .
What is percentage ?
- Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100.
- Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent.
- You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.
Given ,
from 4500 to 3285 is depreciation value of a motor bike.
So,
= ![\frac{( 4500 - 3285 )} {4500} * 100](https://tex.z-dn.net/?f=%5Cfrac%7B%28%204500%20-%203285%20%29%7D%20%7B4500%7D%20%2A%20100)
= ![\frac{1215}{4500} * 100\\](https://tex.z-dn.net/?f=%5Cfrac%7B1215%7D%7B4500%7D%20%2A%20100%5C%5C)
= ![\frac{121500}{4500}](https://tex.z-dn.net/?f=%5Cfrac%7B121500%7D%7B4500%7D)
= 27 %
Therefore, The percentage depreciation is 27 % .
Learn more about percentage depreciation brainly.com/question/13894858
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Answer:
10.99 m
Step-by-step explanation:
✍️What we are basically asked to solve here is to find the distance between C and D.
To find CD, find the length of BC, and BD. Their difference will give us CD.
Thus, BC - BD = CD.
✍️Finding BC using trigonometric ratio formula:
![\theta = 30 + 10 = 40](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%2030%20%2B%2010%20%3D%2040%20)
Opposite side = BC = ??
Adjacent side = 42 m
Thus:
![tan(\theta) = \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%20tan%28%5Ctheta%29%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20)
Plug in the values
![tan(40) = \frac{BC}{42}](https://tex.z-dn.net/?f=%20tan%2840%29%20%3D%20%5Cfrac%7BBC%7D%7B42%7D%20)
Multiply both sides by 42
![tan(40) \times 42 = \frac{BC}{42} \times 42](https://tex.z-dn.net/?f=%20tan%2840%29%20%5Ctimes%2042%20%3D%20%5Cfrac%7BBC%7D%7B42%7D%20%5Ctimes%2042%20)
![35.24 = BC](https://tex.z-dn.net/?f=%2035.24%20%3D%20BC%20)
BC = 35.24 m
✍️Finding BD using trigonometric ratio formula:
![\theta = 30](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%2030%20)
Opposite side = BD = ??
Adjacent side = 42 m
Thus:
![tan(\theta) = \frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%20tan%28%5Ctheta%29%20%3D%20%5Cfrac%7Bopposite%7D%7Badjacent%7D%20)
Plug in the values
![tan(30) = \frac{BD}{42}](https://tex.z-dn.net/?f=%20tan%2830%29%20%3D%20%5Cfrac%7BBD%7D%7B42%7D%20)
Multiply both sides by 42
![tan(30) \times 42 = \frac{BD}{42} \times 42](https://tex.z-dn.net/?f=%20tan%2830%29%20%5Ctimes%2042%20%3D%20%5Cfrac%7BBD%7D%7B42%7D%20%5Ctimes%2042%20)
![24.25 = BD](https://tex.z-dn.net/?f=%2024.25%20%3D%20BD%20)
BD = 24.25 m
✍️How much below the top of the tower is the shorter one attached:
Thus,
BC - BD = CD
35.24 m - 24.25 m = 10.99 m
Answer:
(3, -3)
Step-by-step explanation:
The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).