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Nesterboy [21]
3 years ago
5

Prove that 1/√2 is irrational

Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0

Answer:

Step-by-step explanation:

  • Let's assume that it is rational , so this number can be represented as

\Large \boldsymbol{}\bf \dfrac{p^{^/is \  an \  integer}}{q^{ / natural}} -irreducible   \  \ fraction

<h3>\Large \boldsymbol{}\bf \dfrac{1 ^{/ an  \ integer }}{\sqrt{2}^{ / not  \ \ integer } }  -Since the denominator is not a natural number then the  1/√2   is respectively an irrational number</h3>

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The data is the number of text messages you send a day. find the mean, median, and mode of the data.
Novay_Z [31]

Answer:

6, 8, 10, 12, 18, 20

Mean: 6 + 8 + 10 + 12 + 18 + 20 = 74/6 = <em>12.3</em>

Median: <em>11</em>

Mode: <em>there are no mode in the following listed numbers or data set.</em>

<em />

~hope this helps~

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4 0
3 years ago
Isaac downloaded 7 ringtones. Each polyphonic ringtone costs $3.25, and each standard ringtone costs $1.50. If he spends a total
anzhelika [568]

Answer:

6\ polyphonic\ ringtones  and 1\ standard\ ringtone

Step-by-step explanation:

Let

x -----> the number of polyphonic ringtones

y ----> the number of standard ringtones

we know that

x+y=7

x=7-y -----> equation A

3.25x+1.50y=21 -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for y

3.25(7-y)+1.50y=21

22.75-3.25y+1.50y=21

3.25y-1.50y=22.75-21

1.75y=1.75

y=1\ standard\ ringtones

Find the value of x

x=7-1=6\ polyphonic\ ringtones

6 0
3 years ago
Read 2 more answers
5. Naomi was watching a game show where
Solnce55 [7]

Answer:

C) 50

Step-by-step explanation:

This is because -10 x 5 = -50 and if you have 20 points to start with, you just do 20-(-30)=20 and two minuses make a plus so it is 20 + 30 which is 50.

8 0
3 years ago
The length of a board is 2 5/8 feet long. If 5/6 of a foot is trimmed off, find the new length
nalin [4]

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify --->  5/6 ⋅ x = 2 5/8

                                                      5/6 ⋅ x = 21/8              

                                                      (multiply both sides by 6)

                                                      5x = 63/4

                                                      (divide both sides by 5)

                                                      x = 63/20

                                                      x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.

6 0
3 years ago
1 Calculate:
3241004551 [841]
(a)=940
(b)=1680
(c)=1950
(d)=4440
5 0
3 years ago
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