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3 years ago

What is the fraction represented by 0.1 repeated

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

6 0

That repeating decimal is equivalent to. 1/9 .

marysya [2.9K]3 years ago

6 0

Firstly name 0.1, call it x.
x=0.1repeat
10x= 1.1repeat
9x= 1.1repeat- 0.1 repeat= 1
thefore 0.1 repeat = 1/9

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graph each equation for the interval -360 is less than or equal to x and 360 is greater than or equal to x: y=1/2cos(2x+60)

lianna [129]

Answer:

See graph

Step-by-step explanation:

We want to graph $y=\frac{1}{2}\cos(2x+60\degree)$ on the interval $-360\degree \le x \le 360\degree$

We need to plot some few points

$(-30\degree,\frac{1}{2})$

$(-15\degree,\frac{\sqrt{3}}{4})$

$(0\degree,\frac{1}{4})$

$(15\degree,0)$

$(30\degree,-\frac{1}{4})$

$(45\degree,-\frac{\sqrt{3}}{4})$

$(60\degree,-\frac{1}{2})$

$(75\degree,-\frac{\sqrt{3}}{4})$

$(90\degree,-\frac{1}{4})$

$(105\degree,0)$

$(120\degree,\frac{1}{4})$

$(135\degree,\frac{\sqrt{3}}{4})$

$(150\degree,\frac{1}{2})$

This will give us one cycle.

We then use the pattern to complete the graph on the interval

$-360\degree \le x \le 360\degree$

6 0

3 years ago

What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?

s344n2d4d5 [400]

Answer:

The roots are

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

Separate the real and imaginary parts

That's

We have the final answer as

Hope this helps you

5 0

3 years ago

GIVING THE BRAINLIEST ANSWER

Ahat [919]

Answer:

(6,3)

Step-by-step explanation:

y=2/3 x - 1

y=-1/2 x + 6

Since both equations are equal to y, we can set them equal

2/3 x - 1 =-1/2 x + 6

We have fractions, so I will multiply by 6 to clear the fractions

6(2/3 x - 1) =(-1/2 x + 6)6

Distribute

4x -6 = -3x +36

Add 3x to each side

4x+3x -6 = -3x+3x +36

7x -6 = 36

Add 6 to each side

7x-6+6 = 36+6

7x = 42

Divide each side by 7

7x/7 = 42/7

x =6

Now we need to find y

y =2/3x -1

y = 2/3(6) -1

y = 4-1

y=3

(6,3)

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4 years ago

Evaluate: 500 – 203.94

noname [10]

The answer is B) 296.06

4 0

3 years ago

Which one doesn't belong

muminat

The bottom left one

all of the rest start at 0 but that one doesn’t

8 0

3 years ago

Read 2 more answers