Answer:
Explanation:
The area of the <em>octagon</em> may be calculated as the difference of the area of the original square and the area of the four corners cut off.
1) <u>Area of the square</u>.
The original square's side length is the same wide of the formed octagon: 10 cm.
So, the area of such square is: (10 cm)² = 100 cm².
2) <u>Area of the four corners cut off</u>.
Since, the corners were cut off two centimeters from each corner, the form of each piece is an isosceles right triangle with legs of 2 cm.
The area of each right triangle is half the product of the legs (because one leg is the base and the other leg is the height of the triangle).
Then, area of one right triangle: (1/2) × 2cm × 2cm = 2 cm².
Since, they are four pieces, the total cut off area is: 4 × 2 cm² = 8 cm².
3) <u>Area of the octagon</u>:
- Area of the square - area of the cut off triangles = 100 cm² - 8cm² = 92 cm².
And that is the answer: 92 cm².
It goes in once with a remainder of 1
There are four numbers of 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
<h3>How to solve probability combinations?</h3>
The coins to select from are nickels, dimes, quarters, and half-dollars;
Thus;
Coins (n) = 4
The number of coin to select is:
Coin (r) = 3
The coin combination is then calculated using:
Combination = ⁴C₃
Apply the combination formula, we have;
Combination = 4
Thus, there are four number 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
Read more about combinations at; brainly.com/question/4658834
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Answer:
we need the diagram to help you. if we do not have the diagram then no one can help you sorry.
Step-by-step explanation:
