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sammy [17]
2 years ago
12

Hi ppl of brainly. I need some help with my math assignment. explain if u can (if u can't, that's okay ) if you dont know it. pl

ease dont answer it. if u have any questions about the question, please drop in a comment!

Mathematics
2 answers:
IgorLugansk [536]2 years ago
8 0

Answer:

17.156

Step-by-step explanation:

A rational number has has a terminating decimal expansion or a decimal expansion of non-terminating repeating digits. Here, the decimal expansion is terminating, so it is a rational number.

Alona [7]2 years ago
8 0

Answer:

C. 17.156

Step-by-step explanation:

A rational number is any number that can be expressed as a fraction. So for example, since \sqrt{2} cant be expressed as a fraction, it isn't rational. A number like 1.25 on the other hand IS rational as it can be expressed as \frac{5}{4} or \frac{125}{100}.

Option C can be expressed as \frac{17156}{1000}, so it must be rational.

- Note that if a number has a finite amount of digits after the decimal (ie it doesn't go on forever like option B), it can be represented as a fraction and thus is rational.

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Answer:

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Step-by-step explanation:

You might recognize that this triangle is a 5-12-13 triangle scaled up by a factor of 2. If so, you know immediately, that the hypotenuse is 2×13 = 26 feet in length.

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If you're not so lucky, you can write equations involving the lengths of the legs of the triangle. Let those be x and y, with x being the shorter leg. Then the Pythagorean relation tells you ...

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Using the second equation to write an expression for y, we have ...

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Substituting this into the first equation gives ...

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This is a cubic with one real root. It can be solved several ways. I like "graphing" as it is quick and easy. Trial and error also works. The factors of 1800 include 10²·18, so it is clear that x=10 is the solution.

The hypotenuse length is x+16, so is 26 feet.

___

The attachment shows the graphical solution of the original two equations. This tells you the legs of the triangle are 10 and 24, so the hypotenuse will be 10+16 = 26. The 10-24-26 triangle is recognizable as a scaled version of the 5-12-13 triangle often used in math problems.

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Step-by-step explanation:

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