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Lemur [1.5K]
4 years ago
10

Help I need the answers

Mathematics
2 answers:
Agata [3.3K]4 years ago
8 0
240
/ \
5 48
/ \
8 . 6
/ \. /. \
2 . 4. 3 . 2
/ \
2 . 2
jolli1 [7]4 years ago
7 0
240
/ \
5 48
/ \
6 8
/ \ / \
3 2 4 2
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Two lines that Intersect and form a right angle are:
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perpendicular lines

Step-by-step explanation:

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There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b
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Answer:

C) I and III only

Step-by-step explanation:

Let full pool is denoted by O

Days Hose x takes to fill pool O = a

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Pool filled in one day y = O/b

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                         a>b>c

a>b>c>d\\\implies x

Days if if x+y+z fill the pool together = d

1 day if x+y+z fill the pool together =O(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})=\frac{O}{d}---(1)

I) d < c

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III) \frac{c}{3}

Using (1)

\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad(a>b>c)\\(ab+bc+ca)\frac{abc}{3ab}\\\\d>\frac{c}{3}

Similarly

\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad a>b>c\\(ab+bc+ca)>3bc\\\\d=\frac{abc}{ab+bc+ca}

So,

\frac{c}{3}

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An algebraic sentence that makes use of the "less than" or "greater than" symbols (&lt;, &gt;) is called an inequality.
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This is a true statement because it proves both sides are not equal 

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