<span><span>1. </span>Fraction
of 1km is 415 m
In every 1 kilometers = 1 000 meters
=> 415 / 1 000 – this is already a fraction , we need to convert it into its
simplest form
=> 415 / 1 000 = this will be divided by 5
=> 415 / 1 000 / 5/5 = 83 / 200
Thus, the fraction of 415 meter in 1 km is 83 / 200</span>
<em>Given - a+b+c = 0</em>
<em>To prove that- </em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
<em>Now we know that</em>
<em>when x+y+z = 0,</em>
<em>then x³+y³+z³ = 3xyz</em>
<em>that means</em>
<em> (x³+y³+z³)/xyz = 3 ---- eq 1)</em>
<em>Lets solve for LHS</em>
<em>LHS = a²/bc + b²/ac + c²/ab</em>
<em>we can write it as LHS = a³/abc + b³/abc + c</em><em>³</em><em>/abc</em>
<em>by multiplying missing denominators,</em>
<em>now take common abc from denominator and you'll get,</em>
<em>LHS = (a³+b³+c³)/abc --- eq (2)</em>
<em>Comparing one and two we can say that</em>
<em>(a³+b³+c³)/abc = 3</em>
<em>Hence proved,</em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
Answer:
You showed the right work and got the right answer!
x = 6
Step-by-step explanation:
Since B is in the middle of A and C, AB + BC = AC
So,
2x - 11 + 8 = x + 3
x - 3 = 3
x = 6
56 divided 7/8 to find out how many paper clips it is then multiply how many there is times 0.03. the total cost of the paper clips is $1.92
Answer:
11 m
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
121 = s^2
Take the square root of each side
sqrt(121) = sqrt(s^2)
11 = s