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1 year ago

Which numbers are irrational? √16 √100 √53 √26

Mathematics

1 answer:

dlinn [17]1 year ago

7 0

Answer:

√53 √26

Step-by-step explanation:

A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.

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Find the missing measure if a and b are the legs of the right triangle and c is the hypotenuse, with a = 11 and c =18.

never [62]

Answer:

$\sqrt{203}$

Step-by-step explanation:

1. $11^{2} + b^{2} = 18^{2}$

2. $b^{2} =203$

3. b = $\sqrt{203}$

Can't be simplified.

3 0

3 years ago

Read 2 more answers

Isabella's rain gauge showed 3 centimeters/cra) last Tuesday. This Tuesday,

Llana [10]

<h3><u>Question:</u></h3>

Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday, the rain gauge showed 5 7/10 centimeters. How many more centimeters of rain fell during the week?

A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm

<h3><u>Answer:</u></h3>

Option D

$1\frac{9}{10}$ more centimeters of rain fell during this week than last week

<h3><u>Solution:</u></h3>

From given,

$Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm$

Also given that,

$This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm$

<em><u>How many more centimeters of rain fell during the week?</u></em>

$This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}$

Thus $1\frac{9}{10}$ more centimeters of rain fell during this week than last week

8 0

3 years ago

Solve 2x^2 + x - 4 = 0 <br> X2 +

damaskus [11]

Answer:

$\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }$

Step-by-step explanation:

Hello, please find below my work.

$2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0$

$\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

3 years ago

What is -3(3y-7)=21-9y

Nina [5.8K]

Answer:

the equation is equivalent, y is any number

Step-by-step explanation:

-3(3y-7) = 21-9y

-9y + 21 = 21 - 9y

-9y = -9y

y=y

any number will satisfy y=y

6 0

3 years ago

Hii i’ll give brainliest please help thanks :)

earnstyle [38]

Answer:

the second one

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which numbers are irrational? √16 √100 √53 √26​

Which numbers are irrational? √16 √100 √53 √26