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blondinia [14]
2 years ago
6

Which number produces an irrational number when added to 1/3

Mathematics
1 answer:
Nataly [62]2 years ago
8 0

Answer:

An irrational number produces an irrational when added to  

Step by step explanation:

To find : What number produces an irrational when added to  ?

Solution :  

We know that,

It is a rational number as it is repeating.

So, If we add a rational number into a rational number it always gives you a rational number.

To produce an irrational number,

If we add an irrational number to a rational number it always gives you an irrational number.

For example :

An irrational number -  

A rational number -  

Adding these two number,

This number is non-terminating and non-repeating.

Therefore, An irrational number produces an irrational when added to  

dome.  

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ziro4ka [17]
Im not sure the question. negative 58 divided by 910 is -0.0637, but that isnt an answer choice.
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What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and an
Amiraneli [1.4K]

Answer:

D.) 38.6 m

Step-by-step explanation:

Use the cosine ratio:

cosine=\frac{adjacent}{hypotenuse}

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

cos75=\frac{10}{x}

Now isolate the variable. Multiply both sides by x:

x(cos75)=x(\frac{10}{x} )

The x's on the right side cancel each other out. Simplify:

x*cos75=10

Now divide both sides by cos75°:

\frac{x*cos75}{cos75} =\frac{10}{cos75}

The cos75° on the left side cancels each other. Simplify:

x=\frac{10}{cos75}

Insert this value into a calculator to simplify the value of x:

x=38.6

The hypotenuse is 38.6 m.

:Done

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3 years ago
What is the value of x when 14x=-2x
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8 0
3 years ago
Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t
Marat540 [252]

Answer:

The location of the new cell phone tower is (h,k) = (3,4), and the equation of the circle is x^{2}+y^{2} -6\cdot x - 8\cdot y = 0.

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0 (1)

Where:

x - Independent variable.

y - Dependent variable.

A, B, C - Circunference constants.

Given the number of variable, we need the location of three distinct points:

(x_{1},y_{1}) = (6,0)

36 +6\cdot A + C = 0

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80 + 8\cdot A + 4\cdot B + C = 0

(x_{3},y_{3}) = (3,9)

90 + 3\cdot A + 9\cdot B + C = 0

Then, we have the following system of linear equations:

6\cdot A + C = -36 (2)

8\cdot A +4\cdot B + C = -80 (3)

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The solution of this system is:

A = -6, B = -8, C = 0

By comparing the general form with the standard form of the equation of the circunference is:

A = -2\cdot h (5)

B = -2\cdot k (6)

C = h^{2}+k^{2}-r^{2} (7)

Where:

h, k - Coordinates of the center of the circle.

r - Radius of the circle.

If we know that A = -6, B = -8 and C = 0, then coordinates of the center of the circle and its radius are, respectively:

h = -\frac{A}{2}

k = -\frac{B}{2}

r = \sqrt{h^{2}+k^{2}-C}

h = 3, k = 4, r = 5

The location of the new cell phone tower is (h,k) = (3,4), and the equation of the circle is x^{2}+y^{2} -6\cdot x - 8\cdot y = 0.

3 0
3 years ago
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