Answer:
3.14
or pi= 180 degrees
Step-by-step explanation:
Check the picture below.
let's firstly convert the mixed fractions to improper fractions and then subtract.
![\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B42%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B42%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B85%7D%7B2%7D%7D%20~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B67%5Cfrac%7B3%7D%7B7%7D%7D%5Cimplies%20%5Ccfrac%7B67%5Ccdot%207%2B3%7D%7B7%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B472%7D%7B7%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B472%7D%7B7%7D~~%20-%20~~%5Ccfrac%7B85%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B%282%29472~~%20-%20~~%287%2985%7D%7B%5Cunderset%7B%5Ctextit%7Busing%20this%20LCD%7D%7D%7B14%7D%7D%5Cimplies%20%5Ccfrac%7B944~~%20-%20~~595%7D%7B14%7D%5Cimplies%20%5Ccfrac%7B349%7D%7B14%7D%5Cimplies%2024%5Cfrac%7B13%7D%7B14%7D)
Answer:
3 m : 4 cm, 3 m/4 cm, 3 m to 4 cm
Step-by-step explanation:
The actual playground will have an area of 72 m², and have one side be double the other, because the scale drawing does so too.
We can make a system of equations: l * w = 72, l = 2w
Substitute: 2w * w = 72
Simplify: 2 * w² = 72
Divide: w² = 36
Square root: <em>w = 6 m</em> (no negatives due to distances always > 0)
Substitute: l = 2 * 6 m
Simplify: <em>l = 12 m</em>
This means that the relations of one side is <em>6 m : 8 cm</em>. That can be simplified to 3 m : 4 cm.
3:3
Explanation: there are 3 cups of bagel chips for every 3 cups of pretzel chips
