Answer:
The length of side is 42.4 inches.
Step-by-step explanation:
Given that:
Diagonal of square = 60 inches
As all sides of a square are equal, thus
Side of square = x
The diagonal will be the hypotenuse of a right angled triangle.
Using Pythagorean theorem;
![x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800](https://tex.z-dn.net/?f=x%5E2%2Bx%5E2%3D%2860%29%5E2%5C%5C2x%5E2%3D3600%5C%5Cx%5E2%3D%5Cfrac%7B3600%7D%7B2%7D%5C%5Cx%5E2%3D1800)
Taking square root on both sides
![\sqrt{x^2}=\sqrt{1800}\\x=42.4](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%3D%5Csqrt%7B1800%7D%5C%5Cx%3D42.4)
Hence,
The length of side is 42.4 inches.
The best way to solve this is to put it into a proportion:
![\frac{x}{84} = \frac{ \frac{1}{4} }{ \frac{3}{4} }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B84%7D%20%3D%20%5Cfrac%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20)
So you cross multiply to get:
![21= \frac{3}{4} x](https://tex.z-dn.net/?f=21%3D%20%5Cfrac%7B3%7D%7B4%7D%20x)
(the 21 is from
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
•84)
Then multiply by
![\frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20)
And you get $28, so the reduced price would be $28.
Answer: A because 20 adults and 35 students
Step-by-step explanation: