Answer:
5.83 blocks away from his home
Step-by-step explanation:
If he travels 5 blocks south and 3 blocks west, the distance from his house considered along with the distances travelled gives a right angled triangle whose opposite side and adjacent sides are the distances travelled north and west.
The distance from his house after moving 3 blocks west is the hypotenuse side. As such, the distance may be computed using Pythagoras' theorem. Let the distance from his house be G
G^2 = 5^2 + 3^2
G^2 = 25 + 9
= 34
G = √34
=5.83
John is 5.83 blocks away from his home
Answer: Square, 24 square inches
Step-by-step explanation:
Given
Diameter of round pizza ![d=16\ in.](https://tex.z-dn.net/?f=d%3D16%5C%20in.)
Side of square pizza ![a=15\ in.](https://tex.z-dn.net/?f=a%3D15%5C%20in.)
Area of circle ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
The area of a square is ![a^2](https://tex.z-dn.net/?f=a%5E2)
![\therefore \text{Area of round Pizza}=\pi \times (\frac{16}{2})^2\\\Rightarrow A_1=\pi \times 8^2=201.088\ in.^2](https://tex.z-dn.net/?f=%5Ctherefore%20%5Ctext%7BArea%20of%20round%20Pizza%7D%3D%5Cpi%20%5Ctimes%20%28%5Cfrac%7B16%7D%7B2%7D%29%5E2%5C%5C%5CRightarrow%20A_1%3D%5Cpi%20%5Ctimes%208%5E2%3D201.088%5C%20in.%5E2)
The area of square pizza is
![A_2=15^2=225\ in.^2](https://tex.z-dn.net/?f=A_2%3D15%5E2%3D225%5C%20in.%5E2)
Clearly, the area of square pizza is more and the difference in their area is
![\Rightarrow A_2-A_1=225-201.088=23.91\approx\ 24\ in.^2](https://tex.z-dn.net/?f=%5CRightarrow%20A_2-A_1%3D225-201.088%3D23.91%5Capprox%5C%2024%5C%20in.%5E2)
the associative property of addition. Try and memorize the different properties. youll need to know them later on. I hope this helped!
False, it would end up being st / r
She’ll have to make 4 more stitches in order to get 6 good ones. Each time she creates 3 she undoes 2 which after 4 more times would leave her with 6 good stitches.