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.
X^2 + y^2 = 25
2x + y = -5.....y = -2x - 5
x^2 + (-2x - 5)^2 = 25
x^2 + (-2x - 5)(-2x - 5) = 25
x^2 + (4x^2 + 20x + 25) = 25
5x^2 + 20x + 25 = 25
5x^2 + 20x = 0
5x(x + 4) = 0
5x = 0 2(0) + y = -5
x = 0 y = -5
x + 4 = 0 2(-4) + y = -5
x = -4 -8 + y = -5
y = 3
solutions are : x = 0, y = -5.....and x = -4, y = 3
What did you misspell something for are you foreign
Answer:
units.
Step-by-step explanation:
We have been given that Joy recorded the distances she walked each day for five days.
To find the distance traveled be Joy in 5 days we will add the distances covered by Joy each day.
As there are 3 dots on 1/3, this means that Joy traveled 1/3 units on 3 days.
Since there is 1 dot on 1/2 and on dot on 2/3, so this means that Joy walked 1/2 units one day and 2/3 units another day.
Let us add all these distances.
Let us have a common denominator.
Therefore, Joy traveled units in 5 days.
24/72 which simplifies to 12/36 which then simplifies to 6/18 which then also simplifies to 3/9 then also simplifies to 1/3.
