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3 years ago

8

Which best explains what determines whether a number is irrational?

2 answers:

Shtirlitz [24]3 years ago

7 0

Is it squared rationally?
Is it a repeating decimal?

Every /non/-repeating decimal is irrational, as well all fractions.

If you have anymore questions go to algebra.com.

rusak2 [61]3 years ago

6 0

<span>1.) Is 64 squared rational or irrational?
Ans: Rational
----------------
2.) Is -1.2 repeating decimal rational or irrational?
Every repeating decimal is rational.
Every non-repeating decimal is irrational.
All whole numbers are rational.
All fractions are rational.
nth roots of a^k are irrational unless k is a multiply of n.
Example: The cube root of 3^6 is rational but the cube root of 3^5 is not.
Cheers,
Stan H. </span>

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What value of x is in the solution set of 9(2x + 1) < 9x - 18?

Alex17521 [72]

Answer:

b. -3

Step-by-step explanation:

9(2x+1) < 9x-18

(distribute the 9)

18x+9 <9x-18

(subtract 9 from both sides)

18x<9x-27

(subtract 9x from both sides)

9x<-27

(divide both sides by 9)

x<-3

6 0

3 years ago

Read 2 more answers

In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,

aivan3 [116]

Answer:

Case 1:

$AB = 30$

$BC = 50$

Case 2:

$AB = 15.9$

$BC = 36.7$

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

$AB^2 = AN^2 + BN^2$

This gives:

$AB^2 = 24^2 + 18^2$

$AB^2 = 576 + 324$

$AB^2 = 900$

Take square roots of both sides

$AB = \sqrt{900$

$AB = 30$

To calculate BC, we consider ANC, where:

$AC^2 = AN^2 + NC^2$

$40^2 = 24^2 + NC^2$

$1600 = 576 + NC^2$

Collect like terms

$NC^2 = 1600 - 576$

$NC^2 = 1024$

Take square roots

$NC = \sqrt{1024$

$NC = 32$

So:

$BC = NC + BN$

$BC = 32 + 18$

$BC = 50$

Case 2:

Using Pythagoras theorem in ANB, we have:

$AN^2 = AB^2 + BN^2$

This gives:

$24^2 = AB^2 + 18^2$

$576 = AB^2 + 324$

Collect like terms

$AB^2 = 576 - 324$

$AB^2 = 252$

Take square roots of both sides

$AB = \sqrt{252$

$AB = 15.9$

To calculate BC, we consider ABC, where:

$AC^2 = AB^2 + BC^2$

$40^2 = 252 + BC^2$

$1600 = 252 + BC^2$

Collect like terms

$BC^2 = 1600 - 252$

$BC^2 = 1348$

Take square roots

$BC = \sqrt{1348$

$BC = 36.7$

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

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