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jeyben [28]
3 years ago
11

Find the distance between

Mathematics
1 answer:
slega [8]3 years ago
3 0

Answer:

The distance is \frac{3}{10} = 0.3

Step-by-step explanation:

First notice that \sqrt {\frac{25}{4} }=\frac{5}{2}

Then we need the distance between those two fractions, which can be found via the absolute value of the difference between these two numbers;

distance=|\frac{11}{5} -\frac{5}{2} |\\distance=|\frac{22}{10} -\frac{25}{10} |\\distance= \-\frac{3}{10} |\\distance= 0.3

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Answer:

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Step-by-step explanation:

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3 years ago
Simplfy the expression 10(m-3n)
ddd [48]

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3 years ago
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
WARRIOR [948]

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

Pool filled in one day x = O/a

Days Hose y takes to fill pool O = b

Pool filled in one day y = O/b

Days Hose z takes to fill pool O = c

Pool filled in one day z = O/c

It is given that

                         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

d are days when hose x, y, z are used together where as c are days when only z is used so number of days when three hoses are used together must be less than c when only z hose is used. So d < c

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}

3 0
3 years ago
This number is less than 200 but greater than 100. The ones digit is 5 less than 10. The tens digit is 2 more added of the ones
viva [34]
The number is 175

greater than 100 less than 200, 10-5=5, 5+2=7

1 7 5
----- ----- -----
8 0
3 years ago
Anyone want to help me out?
zhuklara [117]
First answer haha~ I think I answered all your questions so far ;)
5 0
4 years ago
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