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3 years ago

How to calculate 9120 divided by 12 in long division

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

3 0

Answer:

use bus stop method to calculate.

By the way answer is 760

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Convert the following repeating Decimals to fractions

arsen [322]

Step-by-step explanation:

1. 0.030303......*100

=3.0303....

$3.0303..... - 0.030303.... = 3$

$\frac{99 \times 0.030303}{99} = \frac{3}{99}$

$0.030303 = \frac{1}{33}$

<h3>This is the explination</h3>

$= \frac{1}{3}$

4 0

2 years ago

the equation is -2x² = 4-3 (x + 1) and the question is justify that it is a 2nd degree equation with the unknown x complete.

Serggg [28]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

-2x² = 4-3 (x + 1)

-2x² = 4-3x-3

-2x² = -3x -7

0 = 2x² -3x -7

We know that the degree of the equation is the highest power of x variable in the given equation.

In the equation 0 = 2x² -3x -7 the highest power of x variable in the given equation is 2.

Thus, the degree of the equation is 2.

Also in the equation 0 = 2x² -3x -7, the unknown variable is 'x'.

Let us determine the value 'x'

2x² -3x -7 = 0

Add 7 to both sides

$2x^2-3x-7+7=0+7$

$2x^2-3x=7$

Divide both sides by 2

$\frac{2x^2-3x}{2}=\frac{7}{2}$

$x^2-\frac{3x}{2}=\frac{7}{2}$

Add (-3/4)² to both sides

$x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=\frac{7}{2}+\left(-\frac{3}{4}\right)^2$

$x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=\frac{65}{16}$

$\left(x-\frac{3}{4}\right)^2=\frac{65}{16}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{3}{4}=\sqrt{\frac{65}{16}}$

$x-\frac{3}{4}=\frac{\sqrt{65}}{\sqrt{16}}$

$x-\frac{3}{4}=\frac{\sqrt{65}}{4}$

Add 3/4 to both sides

$x-\frac{3}{4}+\frac{3}{4}=\frac{\sqrt{65}}{4}+\frac{3}{4}$

$x=\frac{\sqrt{65}+3}{4}$

similarly solving

$x-\frac{3}{4}=-\sqrt{\frac{65}{16}}$

$x=\frac{-\sqrt{65}+3}{4}$

So the solution of the equation will have the values of x such as:

$x=\frac{\sqrt{65}+3}{4},\:x=\frac{-\sqrt{65}+3}{4}$

6 0

3 years ago

Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her

dimaraw [331]

The answer is orange because true

8 0

3 years ago

How many of the numbers from 10 through 97 have the sum of their digits equal to a perfect square?

Anarel [89]

Perfect squares are:
1,4,9,16,25,36,49,64,81,100,....

the sum of the digits of our biggest number is 16 so any perfect square bigger than 16 doesn't work for us
1-
1+0=1 so any number containing the digits will work(keep in mind we only will look into whole numbers because digits can't be negative or have fractions or be irrational)
thereful 10 works for our category
2-
0+4=4
1+3=4
2+2=4
22 13 31 and 40 will work two
3-
0+9
1+8
2+7
3+6
4+5
90 18 81 27 72 36 63 45 54
4-
0+16
1+15
2+14
3+13
4+12
5+11
6+10
7+9
8+8
79 97 88

so our set of numbers contain:
10 22 13 31 40 90 18 81 27 72 36 63 45 54 79 97 88

3 0

4 years ago

How do you solve cot^2x + cscx= 1 <br>(0,2pi)

Nastasia [14]

$\bf 1+cot^2(\theta)=csc^2(\theta)\implies cot^2(\theta)=csc^2(\theta)-1
\\\\\\
csc(\theta)=\cfrac{1}{sin(\theta)}
\\\\
-------------------------------\\\\
cot^2(x)+csc(x)=1\implies csc^2(x)-1+csc(x)=1
\\\\\\
csc^2(x)+csc(x)-2=0\implies [csc(x)-2][csc(x)+1]=0\\\\
-------------------------------\\\\$

$\bf csc(x)-2=0\implies csc(x)=2\implies \cfrac{1}{sin(x)}=2\implies \cfrac{1}{2}=sin(x)
\\\\\\
sin^{-1}\left( \frac{1}{2} \right)=\measuredangle x\implies \frac{\pi }{6}~~,~~\frac{5\pi }{6}=\measuredangle x\\\\
-------------------------------\\\\
csc(x)+1=0\implies csc(x)=-1\implies \cfrac{1}{sin(x)}=-1
\\\\\\
\cfrac{1}{-1}=sin(x)
\implies 
-1=sin(x)\implies sin^{-1}(-1)=\measuredangle x\implies \frac{3\pi }{2}=\measuredangle x$

6 0

3 years ago