By direct division, we will find that the length of each piece of rope is 10.5m
<h3>
How to perform the division?</h3>
So e start with a 42 meter long rope and we cut it into 4 equal parts, then we know that each one of these pieces will have a length equal to:
L = (42m/4)
To perform that division, you can see that 42<u> is not a multiple of 4</u>, so we can write:
L = (40m + 2m)/4 = (40m/4) + (2m/4)
The first quotient is just equal to 10m, while the second one is:
(2m/4) = (1m/2) = 0.5m
Then we have:
L = (40m/4) + (2m/4) = 10m + 0.5m = 10.5m
Each piece of rope has a length of 10.5m
If you want to learn more about divisions, you can read:
brainly.com/question/7068223
8 3/6 - 5 4/6 =
7 8/6 - 5 4/6 = 2 4/6
Simplified : 2 and 2/3. Hope it helps!
Answer:
<h2>length= 40cm</h2><h2>width= 120cm</h2><h2>
Step-by-step explanation:</h2>
Area of a rectangle= lenght× width
Dimensions of 1st rectangle: L,W
Dimensions of 2nd rectangle: L+10; W+4
Hence,
LW = 480__________(1)
(L-10)(W+4) = 480_______(2)
LW = LW+4L - 10W - 40
4L = 10W +40
2L = 5W + 20
L = (5/2)W + 10_________(3)
But LW = 480 (from equation one)
So, W = 480/L
substitute as= 480/L into equation (3)
L = (5/2)(480/L)+10
L = 1200/L + 10
L^2 - 10L - 1200 = 0
factorising.
we're have,
(L-40)(L+30) = 0
therefore, since L can't be negative , L = 40
L = 40 cm (length)
Then 480/L = W = 120 cm (width)
<h2>therefore L= 40cm and W= 120cm</h2>
Y=7/4x+9/7 is an equation perpendicular to that
The expression that is equal to a x a x a x b x b is a³ x b²