Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.
Firstly you have to reduce the 4 variables to a double system of equation with only 2 variables.
Let's say, first we have to eliminate Z:
Take 1st & 3rd equation & multiply each term of the 1st by (- 1). One done you add up the 1st & the 3rd & you will get:
5W - 4x + 2y = - 18
Follow the same methodology to find another equation without z. Once done you will have a system of 2 equation with 2 variable easy to solve,
At the end you will find:
w = -3
x = -2
y = -1
z = 3
The area of the sector is 472.6 ft²
<h3>Area of a Sector</h3>
For finding the area of the sector, you need apply the formula:
, where:
r= radius
α= central angle
The question gives:
r= radius= 19 ft
α= central angle = 150°
Thus, the area of the sector will be:
![A=\pi r^2* \frac{\alpha }{360}=\pi *19^2*\frac{150}{360} =472.6](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%2A%20%5Cfrac%7B%5Calpha%20%7D%7B360%7D%3D%5Cpi%20%2A19%5E2%2A%5Cfrac%7B150%7D%7B360%7D%20%3D472.6)
Read more about the area of a sector here:
brainly.com/question/22972014
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You have to set it up as two problems then combined like terms then add them together