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Vinil7 [7]
3 years ago
5

okay so I don't really understand how to change a decimal to a fraction and the teacher never really explained it to us and she

went really fast and like I hate showing my work because I'll always mess up

Mathematics
1 answer:
Fofino [41]3 years ago
5 0

\bf 0.2121\overline{21}\qquad \qquad \qquad x=0.2121\overline{21}\\\\ -------------------------------\\\\ \stackrel{\textit{moving the 21 to the left}}{\stackrel{100\cdot x}{100\cdot 0.2121\overline{21}}}\implies  21.2121\overline{21}\implies  \begin{array}{llll} 21&+&0.2121\overline{21}\\ 21&+&x \end{array} \\\\\\ therefore\qquad \qquad 100x  = 21+x\implies 99x=21 \\\\\\ x=\cfrac{21}{99}\implies x=\stackrel{simplified}{\cfrac{7}{33}}

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If triangle RST is within Quadrant 4 and cos R= √3/2, what is the value of cotR
Nesterboy [21]

Answer:

CotR = -√3

Step-by-step explanation:

In the 4th quadrant, sin is negative;

Since Cos R = √3/2,

Adjacent = √3

Hypotenuse = 2

Get the opposite;

opp^2 = 2^2 -(√3)^2

opp^2 = 4 - 3

opp^2 = 1

Opp = 1

Get sinR

Sin R = opp/hyp

SinR=  -1/2

CotR = cosR/sinR

CostR = (√3/2)/(-1/2)

CotR = √3/2* -2/1

CotR = -√3

6 0
3 years ago
Find the standard deviation of 36,18,12,10 and 9
babunello [35]
The standard deviation of 36,18,12,10 and 9 is 10

6 0
3 years ago
What is -3 and 5/7 expressed as an improper fraction?
DedPeter [7]
This is equal to -3-5/7, or (-3*7)/7-5/7, or -21/7-5/7, or -26/7.
6 0
4 years ago
Using the formula V = l × w × h, find the volume of a right rectangular prism when the length of the prism is 45 cm, the width i
user100 [1]

Answer:

The volume of the right rectangular prism is 5400 cubic centimeter.

Step-by-step explanation:

Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.

To find : The volume of a right rectangular prism ?

Solution :

The formula used is V=l\times w\times h

Where, l is the length of the prism l=45 cm

w is the width of the prism w=12 cm

h is the height of the prism h=10 cm

Substitute the value in the formula,

V=45\times 12\times 10

V=5400\ cm^3

Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.

7 0
4 years ago
Which of the following represent independent events? Spinning a 3 on a spinner and then spinning again and getting a 2. Getting
babymother [125]

Answer:

huh?

Step-by-step explanation:

4 0
3 years ago
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