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Kaylis [27]
2 years ago
8

A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long. What is the length of the

remaining piece of thread?
Mathematics
1 answer:
lukranit [14]2 years ago
8 0

Answer:

The length of the remaining piece of thread is  \frac{1}{16}.

Step-by-step explanation:

Given:

A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long.

Now, to find the length of the remaining piece of thread.

Total thread  = \frac{9}{16} \ inch.

Tailor cuts a piece of thread = \frac{1}{2}\ inch.  

Now, to get the length of the remaining piece of thread by subtracting tailor cuts a piece of thread from the total thread:

\frac{9}{16} -\frac{1}{2} \\\\=\frac{9-8}{16} \\\\=\frac{1}{16}

Therefore, the length of the remaining piece of thread is  \frac{1}{16}.

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11/12​−6/1​q+6/5​q−3/1​, Combine like terms to create an equivalent expression.
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Answer: -\frac{25}{12} -\frac{24q}{5}

Step-by-step explanation:

\frac{11}{12} -\frac{6}{1} q+\frac{6}{5}q-\frac{3}{1}

\frac{11}{12} -6q+ \frac{6q}{5} -\frac{3}{1}

\frac{11}{12}-6q \frac{6q}{5} -3

(\frac{11}{12} -3)+(-6q+\frac{6q}{5} )

-\frac{25}{12}- \frac{24q}{5}

Simplify three times, collect like terms and simplify again, how to collect like terms see their differences and then put them into groups, for example I put all the numbers without variables on one side and all the numbers with variables on another.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤

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Let M be the midpoint of AB. Then CM is the perpendicular bisector of AB. As such, center O is on CM, and OC is a radius (and CM). The tangent is perpendicular to that radius (and CM), so is parallel to AB, which is also perpendicular to CM.

If you need to go any further, you can show that triangles CMA and CMB are congruent, so (linear) angles CMA and CMB are congruent, hence both 90°.

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