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Tomtit [17]
3 years ago
6

A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than

7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail.
The absolute value inequality is_ .

The acceptable range of heights of a guardrail are _cm to _cm.
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0

Answer: We are given:

The height h of a guardrail = 106 centimeters

Absolute deviation =  7 centimeters

The absolute value inequality is |x-106|\leq 7

To find the acceptable heights of a guardrail , we add and subtract absolute deviation(7) from the mean height(106)

The acceptable range of height is:

106 + 7 = 113

106 - 7 = 99

Acceptable heights are defined by

99 cm \leq h\leq 113cm

Therefore, the acceptable range of heights of a guardrail are 99 cm to 113 cm.


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<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
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  • => 100 = x²
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<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
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<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
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<h3>________________________________________________</h3>

<u>Question 13:</u>

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<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

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<h3>________________________________________________</h3>

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