Square root of quantity 125÷8 times square root of quantity 5÷2
1 answer:
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Answer:
one side =
Step-by-step explanation:
if you draw an octagon on a piece of paper, you can draw a square around it, you should be able to see a diagram of this attached, ignore the 6.
Let's say TP = a
since it's a regular octagon, TP = HT
and using the Pythagoras Theorem, we know a² + b² = c² and thus:
√(AT² + HA²) = HT
and since AT = HA which we will call x, the equation becomes:
√(2x²) = HT = a
rearrange the equation to solve for x and you get:
2x² = a²
x² =
x =
which, if you rationalise the denominator, you get:
x =
Answer:
(write them out and convert them all into mixed fractions)
(find the LCD aka least common denominator)
(add all numerators together)
(this is improper, so you need to convert back to mixed by dividing)
(this is your answer)