Answer:
Hazel will have knitted 25 centimeters of the scarf
SOLUTION
Problem Statement
We are told Hazel knits 5 centimeters of scarf every night for 5 nights. We are required to find the length of the scarf Hazel will have knitted after 5 nights.
Solution
We are told Hazel makes 5 centimeters of scarf every night. Thus, for each night up till 5 nights, we just need to add the length of scarf Hazel has made.
Let us count for each night.
Night 1:
Hazel makes 5 centimeters of the scarf.
Night 2:
Hazel makes extra 5 centimeters, which means she has made:

Night 3:
Hazel makes extra 5 centimeters, which means she has made:

NIght 4:
Hazel makes extra 5 centimeters, which means she has made:

NIght 5:
Hazel makes extra 5 centimeters, which means she has made:

Final Answer
Thus, Hazel will have knitted 25 centimeters of the scarf
Answer:
15.5 ft²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A =
pa ( p is the perimeter and a the apothem )
Here side of regular pentagon is 3 ft, thus
perimeter = 5 × 3 = 15, so
A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )
8x - 32 = 6 - 9x
17x = 38
x = 38/17
Let us assume then that the center is the origin. If the major axis is 18, then a = 9 and a^2=81. If the minor axis is 16, then b = 8 and b^2=64. Now you can write the equation. Remember that this ellipse is vertical and so a^2 goes under y^2