Answer :
### Step-by-Step Solution
#### Question 45:
Given:
- Initial population: 2,500
- Final population: 3,000
To find: Percentage change in population
Steps:
1. Calculate the change in population:
Change in Population = Final Population - Initial Population
[tex]\[ 3000 - 2500 = 500 \][/tex]
2. Calculate the percentage change:
Percentage Change = [tex]\(\left( \frac{\text{Change in Population}}{\text{Initial Population}} \right) \times 100\)[/tex]
[tex]\[ \left( \frac{500}{2500} \right) \times 100 = 20\% \][/tex]
Answer:
The percentage change in population is [tex]\( \boxed{20\%} \)[/tex].
#### Question 46:
To determine: Which polygon is not a quadrilateral?
Given options (examples, since none were provided in the question):
- Square
- Pentagon
- Rectangle
- Trapezoid
Explanation:
A quadrilateral is a polygon with exactly four sides. Common examples of quadrilaterals include squares, rectangles, trapezoids, and parallelograms.
A pentagon, on the other hand, is a polygon with five sides, and thus, it is not a quadrilateral.
Answer:
The polygon that is not a quadrilateral is [tex]\( \boxed{\text{triangle}} \)[/tex].
#### Question 45:
Given:
- Initial population: 2,500
- Final population: 3,000
To find: Percentage change in population
Steps:
1. Calculate the change in population:
Change in Population = Final Population - Initial Population
[tex]\[ 3000 - 2500 = 500 \][/tex]
2. Calculate the percentage change:
Percentage Change = [tex]\(\left( \frac{\text{Change in Population}}{\text{Initial Population}} \right) \times 100\)[/tex]
[tex]\[ \left( \frac{500}{2500} \right) \times 100 = 20\% \][/tex]
Answer:
The percentage change in population is [tex]\( \boxed{20\%} \)[/tex].
#### Question 46:
To determine: Which polygon is not a quadrilateral?
Given options (examples, since none were provided in the question):
- Square
- Pentagon
- Rectangle
- Trapezoid
Explanation:
A quadrilateral is a polygon with exactly four sides. Common examples of quadrilaterals include squares, rectangles, trapezoids, and parallelograms.
A pentagon, on the other hand, is a polygon with five sides, and thus, it is not a quadrilateral.
Answer:
The polygon that is not a quadrilateral is [tex]\( \boxed{\text{triangle}} \)[/tex].
