Answer:
142.5
Step-by-step explanation:
150/x=100/95
95*150/100=
142.5
let's firstly, convert the mixed fraction to improper fraction, and then subtract.
![\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{11}{4}-\cfrac{2}{3}\implies \stackrel{\textit{our LCD will be 12}}{\cfrac{(3)11-(4)2}{12}}\implies \cfrac{33-8}{12}\implies \cfrac{25}{12}\implies 2\frac{1}{12}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B11%7D%7B4%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Ccfrac%7B11%7D%7B4%7D-%5Ccfrac%7B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bour%20LCD%20will%20be%2012%7D%7D%7B%5Ccfrac%7B%283%2911-%284%292%7D%7B12%7D%7D%5Cimplies%20%5Ccfrac%7B33-8%7D%7B12%7D%5Cimplies%20%5Ccfrac%7B25%7D%7B12%7D%5Cimplies%202%5Cfrac%7B1%7D%7B12%7D)
Answer: 10%
Step-by-step explanation:
The difference between his estimated and actual distance is 15 - 13.5 = 1.5
The percentage of error is the difference divided by the actual value.
1.5÷15 = 0.10
Converted to a percentage, it is 10%
Answer:
1/8
Step-by-step explanation:
(6(3)⁻¹(1))⁻³ n⁰=1
(6/3)⁻³
(2)⁻³
1/(2)³
1/8
Hope it helps
Answer:
<u>9π m²</u>
Step-by-step explanation:
We will need calculate the area of the top, the base and sides.
Area of the top=πr²
Area of the base=πr²
Area of the side: 2πrh
Surface area of a cylinder: area of the top + area of the base +area of the side
Surface area of a cylinder=πr²+πr²+2πrh=2πr²+2πrh=2πr(r+h)
Data:
r=1.5 m
h=1.5 m
Surface area of this cylinder=2π(1.5m)(1.5 m+1.5 m)=3π m*(3 m)=9π m².
