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vredina [299]
3 years ago
11

a manufacturer of bicycle parts requires that a bicycle chain have a width of 0.3 inch with an absolute deviation of at most 0.0

003 inch. write and solve an absolute value inequality that represents the acceptable widths.
Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer:

|w-0.3| \leq 0.0003

And solving we got:

-0.0003 \leq w-0.3 \leq 0.0003

0.3-0.0003 \leq w \leq 0.3+0.0003

0.2997 \leq w \leq 0.3003

Step-by-step explanation:

For this case we can define the following notation:

W represent the width

And we want a maximum error of 0.0003 so we can set up the following equation:

|w-0.3| \leq 0.0003

And solving we got:

-0.0003 \leq w-0.3 \leq 0.0003

0.3-0.0003 \leq w \leq 0.3+0.0003

0.2997 \leq w \leq 0.3003

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Rhombus LMNO is shown with its diagonals.
andrew11 [14]

Answer:

The measure of angle LMN is 68° ⇒ the last answer

Step-by-step explanation:

* Lets revise the properties of the rhombus

- The rhombus has 4 equal sides in length

- Every two opposite angles are equal in measure

- Every two adjacent angles are supplementary (their sum = 180°)

- The two diagonals bisect each other

- The two diagonals perpendicular to each other

- The two diagonals bisect the vertices angles

* Lets solve the problem

∵ LMNO is a rhombus

∴ ∠LMN and ∠MNO are adjacent angles

∴ ∠LMN and ∠MNO are supplementary

∴ m∠LMN + ∠MNO = 180°

∵ m∠MNO = 112°

∴ m∠LMN + 112° = 180° ⇒ subtract 112 from both sides

∴ m∠LMN = 68°

* The measure of angle LMN is 68°

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Answer:

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Step-by-step explanation:

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