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dmitriy555 [2]
3 years ago
5

Describe how you can tell that a fraction corresponds to a repeating decimal and not a terminating decimal

Mathematics
1 answer:
horrorfan [7]3 years ago
8 0
When a fraction corresponds to a repeating decimal, it's denominator is 9 or 99.

For example, 4/11 = 36/99 = 0.36 with bar notation over 36.

Example #2: 2/3 = 6/9 = 0.666....
or also written as 0.6 with bar notation over 6.

You know a fraction responds to a terminating decimal because it can be simplified to a terminating decimal.

Example: 2/4 = 0.5
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The surface area (SA) of a cube with a as the length of each of its sides is given by the formula SA=6a^2 If the surface area is
slava [35]

So to rewrite it so that we can find the side, we just need to isolate the a variable.


SA=6a^2


So firstly, divide by 6 on both sides of the equation: \frac{SA}{6} =a^2


Next, square root each side, and your answer should be \sqrt{\frac{SA}{6}} =a

3 0
3 years ago
Read 2 more answers
Solve the system with elimination 4x+3y=1 -3x-6y=3
Nuetrik [128]

Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

4x+3y=1 and -3x - 6y = 3, we can look at which variable will be easiest to eliminate.

y looks like it might be easy to get rid of, we just have to multiply 4x+3y=1  by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation 4x+3y=1  by 2.

2(4x + 3y = 1)\\8x + 6y = 2

Now we can add these equations

8x + 6y = 2\\-3x-6y=3\\

------------------------

5x = 5

Dividing both sides by 5, we get x = 1.

Now we can substitute x into an equation to find y.

4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1

Hope this helped!

5 0
3 years ago
Choose Yes Or no to indicate wether the percent and the fraction represent the same amount.
romanna [79]

Answer:

1, yes

2, no

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Round round 9274 to the nearest hundred
Art [367]

The answer would be 9300

4 0
3 years ago
Read 2 more answers
Help please will mark brainliest!
Nat2105 [25]

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

5 0
3 years ago
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