Ask question

Ask question

All categories

3 years ago

13

Why is the square root of 32 irrational

1 answer:

stiks02 [169]3 years ago

4 0

Its irrational because a number times itself does not equaly go into 32 pluse the decimals behind it are not finite. The square root of 32 cannot be written as a ratio nor a fraction.

You might be interested in

Find the area of the following figure..

Marina86 [1]

Answer:

456 $cm^{2}$

Step-by-step explanation:

Find the height of the trapezoid first (QR):

$\sqrt{37^{2} -35^{2} }$ = 12

QR = 12

Area:

$\frac{a+b}{2}$ × h = $\frac{35+41}{2}$ × 12

= 456 $cm^{2}$

5 0

2 years ago

2x)(x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2)

Valentin [98]

Answer:

6x^2+2x-6

Step-by-step explanation:

In the expression (2x)(x2)+(2x)(x)+(2x)(-2)+(3)(x2)+(3)(-2) take each set of two and solve those individually. The expression then becomes 4x^2+2x^2-4x+6x-6 the combining like terms you get 6x^2+2x-6.

6 0

3 years ago

ASAP I AM TIMED

strojnjashka [21]

X=3 falls in the third piecewise function,
f(x)=x+1
f(3)=3+1=4

5 0

3 years ago

URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

3 years ago

koban [17]

Step-by-step explanation:

a.)Buying: total cost

Total cost= commission + (price per share× Number of of shares ) ;

Total cost= 11 + (19.72×30)= $591.6+11= $601.6

b.)Net gain or loss;

First, find cash received from sale of stock and deduct commission;

Cash from sale =20.75×30= $ 622.5

deduct commission= 622.5-11= $611.5

Gain or loss= sale-cost = 611.5-601.6 = $9.9, meaning there is a profit.

c.) Annual rate of return= (net gain or loss/amount paid)×100%

return= 9.9/(601.6)×100 = 1.645%

7 0

3 years ago