Answer:
$119.32
Step-by-step explanation:
Leiff decides to buy his video game, with a price tag of $128, at this site
he will get the 15% discount when he checks out.
100-15= 85%
Discounted price=85% of 128 is ![0.85 \cdot 128=108.8](https://tex.z-dn.net/?f=0.85%20%5Ccdot%20128%3D108.8)
Leiff pays 5.3% sales tax on the discounted price
5.3% is 0.053
sales tax amount=0.053 times 108.8=5.7664
So we add the sales tax amount and shipping fee
![108.8+5.7664+4.75=119.32](https://tex.z-dn.net/?f=108.8%2B5.7664%2B4.75%3D119.32)
So $119.32 is the total amount
Answer:
![\frac{r(1-\sqrt{2})}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7Br%281-%5Csqrt%7B2%7D%29%7D%7B-3%7D)
Step-by-step explanation:
Volume of cone = ![\frac{1}{3} \pi r^{2} h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E%7B2%7D%20h)
Since we are given that a circular cone has a base of radius r and a height of h that is the same length as the radius
=
=
Surface area of cone including 1 base = ![\pi r^{2} +\pi\times r \times \sqrt{r^2+h^2}](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20%2B%5Cpi%5Ctimes%20r%20%5Ctimes%20%5Csqrt%7Br%5E2%2Bh%5E2%7D)
Since r = h
So, area = ![\pi r^{2} +\pi\times r \times \sqrt{r^2+r^2}](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20%2B%5Cpi%5Ctimes%20r%20%5Ctimes%20%5Csqrt%7Br%5E2%2Br%5E2%7D)
=
= ![\pi r^{2} +\pi\times r^2 \times \sqrt{2}](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20%2B%5Cpi%5Ctimes%20r%5E2%20%5Ctimes%20%5Csqrt%7B2%7D)
Ratio of volume of cone to its surface area including base :
![\frac{\frac{1}{3} \pi r^{3}}{\pi r^{2} +\pi\times r^2 \times \sqrt{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%7D%7B%5Cpi%20r%5E%7B2%7D%20%2B%5Cpi%5Ctimes%20r%5E2%20%5Ctimes%20%5Csqrt%7B2%7D%7D)
![\frac{\frac{1}{3}r}{1+\sqrt{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B3%7Dr%7D%7B1%2B%5Csqrt%7B2%7D%7D)
![\frac{r}{3(1+\sqrt{2})}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B3%281%2B%5Csqrt%7B2%7D%29%7D)
Rationalizing
![\frac{r}{3(1+\sqrt{2})} \times \frac{1-\sqrt{2}}{1-\sqrt{2}}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B3%281%2B%5Csqrt%7B2%7D%29%7D%20%5Ctimes%20%5Cfrac%7B1-%5Csqrt%7B2%7D%7D%7B1-%5Csqrt%7B2%7D%7D)
![\frac{r(1-\sqrt{2})}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7Br%281-%5Csqrt%7B2%7D%29%7D%7B-3%7D)
Hence the ratio the ratio of the volume of the candle to its surface area(including the base) is ![\frac{r(1-\sqrt{2})}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7Br%281-%5Csqrt%7B2%7D%29%7D%7B-3%7D)
Answer: 30
Step-by-step explanation:
You just have to cross multiply. 20 x 285 = 5700. 5700 / 95 = 60.
He will run 60km