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kkurt [141]
3 years ago
10

Write the recurring decimal 0.256 as a fraction in its simplest form

Mathematics
1 answer:
nikitadnepr [17]3 years ago
5 0

Answer:

\frac{256}{999}

Step-by-step explanation:

0.256256256...

Set up two equations:

x = .256256...

1000x = 256.256256...

Subtract them:

1000x = 256.256256... -  x = .256256... =

999x = 256

Solve for x:

999x = 256

x = 256/999

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write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
Rasek [7]

Answer:

y = -3/5x + 2

Step-by-step explanation:

-1 = -3/5(5) + b

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Write an expression, using an exponent, that is equivalent to 6 x 6 x 6 x 6 x 6
GrogVix [38]

The answer is 6^{5}.

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7 0
4 years ago
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In ∆STU, the measure of
lorasvet [3.4K]

Trigonometric Ratios

A right triangle is defined as a triangle that has one interior angle with a measure of 90°.

The trigonometric ratios are defined as relationships between sides and angles on right triangles.

To better explain the required ratio, we'll include the following image that contains the given triangle, as described in the question:

The cosine of the angle T (shown in the figure) is defined as:

\displaystyle\cos T=\frac{\text{adjacent side}}{\text{hypotenuse}}

The secant of an angle is the reciprocal of the cosine, thus:

\sec T=\frac{hypotenuse}{\text{adjacent side}}

The adjacent side to angle T is 77 and the hypotenuse is 85, thus:

\sec T=\frac{85}{77}

4 0
2 years ago
A park has a 333 meter (\text{m})(m)left parenthesis, start text, m, end text, right parenthesis tall tether ball pole and a 6.8
netineya [11]

Answer:option B & D are correct

Step-by-step explanation:

Given options are  

                                             A              B          C             D           E        

Tether ball pole shadow      1.35         1.8        3.75        0.6       2

Flagpole shadow                  3.4          4.08      8.35       1.36      4.8

Ratio of corresponding height & shadows  should be same

3 meter tall tether ball pole and a 6.8 tall flagpole

=> Ratio  = 6.8/3    = 68/30  = 34/15  

A    - 3.4/1.35 =   340/135     ≠ 34/15( 306/135)

B  -  4.08/1.8  = 408/180   =  34/15  = 34/15  ( Correct option)

C    8.35/3.75  = 835/375  =  167/75   ≠ 34/15( 170/75)

D  1.36/0.6  = 136/60   =  34/15  = 34/15   ( Correct option)

E  4.8/2  = 48/20   =  12/5   = 36/15    ≠ 34/15

option B & D are correct

4 0
3 years ago
Read 2 more answers
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