Answer:
68 square cm
Step-by-step explanation:
Interior square WXYZ is making four right triangles of equal bases (8 cm) and heights (2 cm) inside the square ABCD. Therefore,
Area of shaded Square = Area of square ABCD - 4 times area of one right triangle.
![= {10}^{2} - 4 \times \frac{1}{2} \times 8 \times 2 \\ = 100 - 32 \\ = 68 \: {cm}^{2}](https://tex.z-dn.net/?f=%20%3D%20%20%7B10%7D%5E%7B2%7D%20%20-%204%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%208%20%5Ctimes%202%20%5C%5C%20%20%3D%20100%20-%2032%20%5C%5C%20%20%3D%2068%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20)
256 divided by 82 is 3.12
The estimate for the total number of bees in her hive is 190 bees
<h3>How to find the total estimate of the bees ?</h3>
She catches 90 of the bees on Monday and she puts mark on each bees and return them to her hive.
On Tuesday she catches 120 of the bees. She find out that 20 of the bees has been marked.
This means only 100 bees have not been marked on Tuesday.
Therefore, the total number of bee in her hives is as follows:
total number = 90 + (120 - 20)
total number = 90 + 100
total number = 190 bees
learn more on estimate here:brainly.com/question/16670022
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Quick answer Sin(570) = - 1/2
Comment
570 as an angle contains 1 complete revolution of the terminal arm. The terminal arm begins at the origin and the other (in this case swings around until it records 570° turning around the x axis in an anticlockwise direction.
Anticlockwise means going from 12 o'clock to 9 o'clock to 6 o'clock then 3 o'clock and back to 12 o'clock.
What is 570° (∅) degrees equivalent to?
We keep on subtracting 360 until we get a number between 0 and 360 inclusive.
Written this way 0 ≤∅≤360
570 - 360 = 210°
So we need to find the equivalent of 210°
Method
210° = 180° + 30°
This means that ∅ is 30° below the x axis in the 3rd quadrant.
Sin(30) = 1/2
In the third quadrant, the sine is minus. so
sin(210°) = - 1/2 <<<<<<< Answer
Answer:
x + 3 = 17
Step-by-step explanation: