<span>C' x + 1 < 5 ; x < 4 ...............................................................................................</span>
Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
![P = \frac{a}{b} \times 100\%](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7Ba%7D%7Bb%7D%20%5Ctimes%20100%5C%25)
In this problem, we have that:
- We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
- There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.
The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:
![P = \frac{a}{x} \times 100\%](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7Ba%7D%7Bx%7D%20%5Ctimes%20100%5C%25)
Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:
![\frac{x + a}{x - a} = 7](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%20a%7D%7Bx%20-%20a%7D%20%3D%207)
We can find a <u>as a function of x</u> to find the percentage:
![\frac{x + a}{x - a} = 7](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%20a%7D%7Bx%20-%20a%7D%20%3D%207)
![7(x - a) = x + a](https://tex.z-dn.net/?f=7%28x%20-%20a%29%20%3D%20x%20%2B%20a)
![7x - 7a = x + a](https://tex.z-dn.net/?f=7x%20-%207a%20%3D%20x%20%2B%20a)
![8a = 6x](https://tex.z-dn.net/?f=8a%20%3D%206x)
![a = \frac{3x}{4}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B3x%7D%7B4%7D)
Then, the percentage is:
![P = \frac{a}{x} \times 100\%](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7Ba%7D%7Bx%7D%20%5Ctimes%20100%5C%25)
![P = \frac{\frac{3x}{4}}{x} \times 100\%](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B%5Cfrac%7B3x%7D%7B4%7D%7D%7Bx%7D%20%5Ctimes%20100%5C%25)
![P = \frac{3}{4} \times 100\%](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%20100%5C%25)
![P = 75\%](https://tex.z-dn.net/?f=P%20%3D%2075%5C%25)
75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.
You can learn more about the percentage concept at brainly.com/question/10491646
The angle of depression is 29.0521°. So it is a safe landing.
Step-by-step explanation:
Step 1:
The plane is flying at a height of 25,000 feet and 45,000 feet away from the landing strip. Assume it lands with an angle of depression of x°.
So a right-angled triangle can be formed using these measurements. The triangle's opposite side measures 25,000 feet while the adjacent side measures 45,000 feet. The angle of the triangle is x°.
To determine the value of x, we calculate the tan of the given triangle.
![tanx = \frac{opposite side}{adjacent side}.](https://tex.z-dn.net/?f=tanx%20%3D%20%5Cfrac%7Bopposite%20side%7D%7Badjacent%20side%7D.)
Step 2:
The length of the opposite side = 25,000 feet.
The length of the adjacent side = 45,000 feet.
![tan x = \frac{25,000}{45,000} = 0.5555.](https://tex.z-dn.net/?f=tan%20x%20%3D%20%5Cfrac%7B25%2C000%7D%7B45%2C000%7D%20%3D%200.5555.)
So x = 29.0521°. Since x < 30°, it is a safe landing.
Answer:
81
Step-by-step explanation:
325-120=205
205/2.53=81