Answer:
![\text{Ratio = }\frac{27}{125}](https://tex.z-dn.net/?f=%5Ctext%7BRatio%20%3D%20%7D%5Cfrac%7B27%7D%7B125%7D)
Step-by-step explanation:
Radius of the spherical balloon 4 days ago = 5 cm
![\text{Volume of sphere = }\frac{4}{3}\pi\times radius^3\\\\\text{Volume of spherical balloon 4 days ago = }\frac{4}{3}\pi\times 5^3](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20sphere%20%3D%20%7D%5Cfrac%7B4%7D%7B3%7D%5Cpi%5Ctimes%20radius%5E3%5C%5C%5C%5C%5Ctext%7BVolume%20of%20spherical%20balloon%204%20days%20ago%20%3D%20%7D%5Cfrac%7B4%7D%7B3%7D%5Cpi%5Ctimes%205%5E3)
Now, the radius of balloon decreases 0.5 cm each day
So, after 4 days the radius of balloon deceases by = 4 × 0.5
= 2 cm
So, current radius of spherical balloon = 5 -2 = 3 cm
![\text{Current Volume of spherical balloon = }\frac{4}{3}\pi\times 3^3](https://tex.z-dn.net/?f=%5Ctext%7BCurrent%20Volume%20of%20spherical%20balloon%20%3D%20%7D%5Cfrac%7B4%7D%7B3%7D%5Cpi%5Ctimes%203%5E3)
![\implies\text{Ratio of current volume to volume before 4 days = }\frac{\frac{4}{3}\pi\times 3^3}{\frac{4}{3}\pi\times 5^3}\\\\\implies Ratio = \frac{3^3}{5^3}\\\\\implies Ratio=\frac{27}{125}](https://tex.z-dn.net/?f=%5Cimplies%5Ctext%7BRatio%20of%20current%20volume%20to%20volume%20before%204%20days%20%3D%20%7D%5Cfrac%7B%5Cfrac%7B4%7D%7B3%7D%5Cpi%5Ctimes%203%5E3%7D%7B%5Cfrac%7B4%7D%7B3%7D%5Cpi%5Ctimes%205%5E3%7D%5C%5C%5C%5C%5Cimplies%20Ratio%20%3D%20%5Cfrac%7B3%5E3%7D%7B5%5E3%7D%5C%5C%5C%5C%5Cimplies%20Ratio%3D%5Cfrac%7B27%7D%7B125%7D)
IT'S FALSE!! All the sides of a scalene triangle are UNEQUAL. YOU'RE WELCOME :D
8.1• 10^10. U need to move the decimal to the right 10 places. Then compare from the other things from the problem.
<h3>Answer:
$186.03</h3>
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Explanation:
It costs $91.50 for the first 200 copies.
Roger needs 200 more copies to get to 400 total.
He's charged $42 per 100 copies at this point, so he is charged 42*2 = 84 extra dollars to do those extra 200 copies.
Before tax, his total is 91.50+84 = 175.50 dollars.
The sales tax will increase the bill by 6%
To increase by 6%, we use the multiplier 1.06
1.06*175.50 = 186.03
Or you can follow the steps shown in the next section.
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6% of 175.50 = 0.06*175.50 = 10.53
The sales tax is $10.53
175.50 + 10.53 = 186.03
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Whichever method you use, you should end up with an after-tax cost of $186.03