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emmasim [6.3K]
3 years ago
8

Write 0.083333333333333 repeating as a fraction. (The 3 is repeating the 8 is not)

Mathematics
1 answer:
saul85 [17]3 years ago
4 0
The answer is 83/1000 in it's simplest form.
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If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?
makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

2

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

6 0
2 years ago
Read 2 more answers
Please help 21 points!!!!!
harina [27]

Step-by-step explanation:

The measure of angle y is 62°.

I solve this by

We know: Measures of interior angles in a triangle add up to 180°.

Therefore we have the equation:

60° + 58° + y = 180°

118° + y = 180°         <em>subtract 118° from both sides</em>

118° - 118° + y = 180° - 118°

y = 62°

The measure of angle x is 122°.

I solve this by

Angles 58° and x are supplementary angles.

Supplementary angles add up to 180°.

Therefore we have the equation:

x + 58° = 180°            <em>subtract 58° from both sides</em>

x + 58° - 58° = 180° - 58°

x = 122°

8 0
3 years ago
A statement of an employee's biweekly earnings is given below. Earnings Deductions Week Ended Regular FED. SOC. MED STATE WITH.
Dmitry_Shevchenko [17]

Answer:

On E2020 it is D $726.80

Step-by-step explanation:


6 0
3 years ago
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Which function is a shrink of the exponential growth<br> function shown on the graph?
Amiraneli [1.4K]

Answer:

C. f(x) = 3(2 x)

Step-by-step explanation:

7 0
3 years ago
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What is the answer to this too?
Radda [10]
The answer to this is 5%
4 0
2 years ago
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