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)
If one foot is equivalent to 0.3048 meters, then <span>0.3048 x 65 feet should give us our answer.
</span>0.3048 x 65 feet = 19.812.
19.812 rounded to the nearest tenth is 19.8.
Answer:
The system has infinitely solutions
Step-by-step explanation:
we have
![-\frac{1}{3}x^{2}=-\frac{5}{6}+\frac{1}{3}y^{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7Dx%5E%7B2%7D%3D-%5Cfrac%7B5%7D%7B6%7D%2B%5Cfrac%7B1%7D%7B3%7Dy%5E%7B2%7D)
![\frac{1}{3}x^{2}+\frac{1}{3}y^{2}=\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B3%7Dy%5E%7B2%7D%3D%5Cfrac%7B5%7D%7B6%7D)
Multiply by 3 both sides
----> equation A
The equation A is a circle centered at origin with radius ![r=\sqrt{5/2}\ units](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B5%2F2%7D%5C%20units)
and
![5y^{2} =\frac{25}{2}-5x^{2}](https://tex.z-dn.net/?f=5y%5E%7B2%7D%20%3D%5Cfrac%7B25%7D%7B2%7D-5x%5E%7B2%7D)
![5x^{2}+5y^{2} =\frac{25}{2}](https://tex.z-dn.net/?f=5x%5E%7B2%7D%2B5y%5E%7B2%7D%20%3D%5Cfrac%7B25%7D%7B2%7D)
Divide by 5 both sides
----> equation B
The equation B is a circle centered at origin with radius ![r=\sqrt{5/2}\ units](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B5%2F2%7D%5C%20units)
Equation A and Equation B are the same
Therefore
The system has infinitely solutions