Answer:
- Cost of fish = Php. 60, amount of fish = x kg
- Cost of chicken = Php. 120, amount of chicken = y kg
- Budget = at most Php. 1200
a) <u>Required inequality (not a system as only one condition is given):</u>
<u>Simplified:</u>
- <em>The graph is attached</em>
b) <u>Verify ordered pair (10, 7):</u>
False inequality, so this pair is out of solution set
The number of books taken by each student is 6.
<h3>What is an average?</h3>
Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400.
The average is calculated by dividing the sum of the total number of items by the total counts of the items.
Average = 14400 / 2400
Average = 6
Therefore, the number of books taken by each student is 6.
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answer: 2 × 2 × 2 × 2 × 2 = 32
Step-by-step explanation:
Step-by-step explanation:
With reference to the regular hexagon, from the image above we can see that it is formed by six triangles whose sides are two circle's radii and the hexagon's side. The angle of each of these triangles' vertex that is in the circle center is equal to 360∘6=60∘ and so must be the two other angles formed with the triangle's base to each one of the radii: so these triangles are equilateral.
The apothem divides equally each one of the equilateral triangles in two right triangles whose sides are circle's radius, apothem and half of the hexagon's side. Since the apothem forms a right angle with the hexagon's side and since the hexagon's side forms 60∘ with a circle's radius with an endpoint in common with the hexagon's side, we can determine the side in this fashion:
tan60∘=opposed cathetusadjacent cathetus => √3=Apothemside2 => side=(2√3)Apothem
As already mentioned the area of the regular hexagon is formed by the area of 6 equilateral triangles (for each of these triangle's the base is a hexagon's side and the apothem functions as height) or:
Shexagon=6⋅S△=6(base)(height)2=3(2√3)Apothem⋅Apothem=(6√3)(Apothem)2
=> Shexagon=6×62√3=216
