Answer:
I just answered the other question you asked. Why did you ask the same question twice? Also, I said the 1st one
Step-by-step explanation:
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
No, 1 and 3/9 can be simplified to 1 and 1/3
{Answer:
3893 residents.
Step-by-step explanation:
Equation for population growth:
The equation for the size of a population, considering that it doubles every n years, is given by:

In which A(0) is the initial population.
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.
This means that
. So


Approximate the population of the town 5 years from now.
This is A(5). So


Rounding to the nearest whole number, 3893 residents.
The sides of an equilateral triangle are same. So if one of the sides is (x-4.5), all the sides are (x-4.5).
Let the sides are a=(x-4.5), b=(x-4.5), c=(x-4.5)
1. Perimeter(as sum) = a+b+c
= (x-4.5)+(x-4.5)+(x-4.5)
= x+x+x-4.5-4.5-4.5
= 3x - 13.5
2. Perimeter (as product) = 3×a
= 3×(x-4.5)
= 3×x - 3×4.5
= 3x - 13.5
(you can write 3×b or 3×c also as a=b=c.)
<em>Both perimeter as sum and perimeter as product are same as adding a number three times is the same as multiplying it by 3.</em>