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BartSMP [9]
3 years ago
9

Convert the decimal expansion 0.2777... to a fraction.

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0
A = 0.2777 ... = 0.2(7)

10a = 10 * 0.2(7)=2.(7)
100a = 100 * 0.2(7) = 27.(7)

100a - 10a = 27.(7) - 2.(7)
90a = 25

a=\frac{25}{90}=\frac{5}{18}

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Is the mean resistant
Dvinal [7]
Hold on just have to type before I can see the question
8 0
3 years ago
Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x < 360°?
Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

cos (x/2)[2 cos (x/2)-1]=0

cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

n=0,1,2,...

x=120,300,840,1020,...

only 120° and 300° ∈[0,360°]

Hence x=120°,180°,300°

7 0
2 years ago
Question Completion Status:
jeka94

Answer:

y=3x-3

Step-by-step explanation:

The equation of the line with the slope m and passing through the point (x_0,y_0) is

y-y_0=m(x-x_0)

In your case,

m=3\\ \\x_0=3\\ \\y_0=6

Hence, the equation of the line is

y-6=3(x-3)\\ \\y-6=3x-9\\ \\y=3x-9+6\\ \\y=3x-3

3 0
3 years ago
Which is a table of values for y = x - 6? I don't know how to solve functions
vladimir2022 [97]
I Have made a table for you. You start by making a table, <span>To graph with a table you simply pick numbers for </span>x<span> and solve for </span>y<span> by plugging </span>x<span> into the equation. This gives you the points to graph.</span>

4 0
3 years ago
Read 2 more answers
What is the length of the line?
mamaluj [8]

Hi there!

\large\boxed{\text{ D. } \sqrt{136}}

Use the Pythagorean theorem to find the length of the line.

If we draw an imaginary right triangle using the given line as the hypotenuse, we can derive a height of 6 units and a length of 10 units.

Use the Pythagorean theorem equation:

c² = a² + b²

Plug in the height and length:

c² = 6² + 10²

Simplify:

c² = 36 + 100

c² = 136

Take the square root of both sides:

c = √136. The correct answer is D.

8 0
2 years ago
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