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21.03.2021 •
Mathematics
6. At a graduation dinner, an equal number of guests were seated at each of
6 large tables and 7 late arriving guests were seated at a smaller table.
There were 61 guests in all. If n represents the number of people seated at
each large table, what equation represents the situation?
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Ответ:
Let us assume that √5 is a rational number.
So it can be expressed in the form p/q where p,q are co-prime integers and q≠0
⇒ √5 = p/q
On squaring both the sides we get,
⇒5 = p²/q²
⇒5q² = p² —————–(i)
p²/5 = q²
So 5 divides p
p is a multiple of 5
⇒ p = 5m
⇒ p² = 25m² ————-(ii)
From equations (i) and (ii), we get,
5q² = 25m²
⇒ q² = 5m²
⇒ q² is a multiple of 5
⇒ q is a multiple of 5
Hence, p,q have a common factor 5. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number
√5 is an irrational number.thankew 人(◕ᴗ◕✿)❤️
to all who liked my answers
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can anyone pls flw me who aren't flwingthankew 人(◕ᴗ◕✿)❤️
to all who liked my answers
pl flw
can anyone pls flw me who aren't flwing
Ответ:
Step-by-step explanation:
we know that
> by central angle
see the attached figure to better understand the problem
we have
substitute