Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
Take positive square root of both sides
Split:
Recall that the side length (l) is rational.
However, 
is irrational.
So, the product of l and will be irrational
Hence:
The diagonal is irrational
Recognize that both 0.96 and 0.144 are divisible by 12:
(0.96/12) / (0.144/12) = 0.08 / 0.012. This reduces to 0.02 / 0.003, or
20/3 or approx. 6.666.
You could also begin by eliminating the decimal fractions. Mult. 0.96 and 0.144 each by 1000 results in 960/144.
Since both 960 and 144 can be divided evenly by 24, we get 40 and 6.
40/6 = 20/3, or approx. 6.666, as before.
Answer:
1a) 1141/660
3/5 + 6/11 +7/12
find the LCM of the denominators
the LCM of 5,11,12 is 660
after finding the LCM divide it with the denominator.
after dividing 660 by 5 i get 132. So i need to multiply it with 3. Now, i got 396. Do the same with the rest of the numbers.
u will get smth like this: 396+360+385/660
and the final answer will be1141/660.
b) 71/40
c) 211/28
d) 103/20
Answer:
Sydney's age is 28
Step-by-step explanation:
Let Devaughn be D
And Sydney be S
D=S+8..... equation 1
D+S=64...... equation 2
Substitute equation 1 to equation 2
S+8+S=64
2S+8=64
2S=64-8
2S=56
S=56/2
S=28
Hope it helps
Good luck
