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just olya [345]
3 years ago
7

Determine the approximate length of the segment AD *

Mathematics
2 answers:
pychu [463]3 years ago
6 0

a^2 + b^2 = c^2

8^2 + b^2 = 19^2

64 + b^2 = 361

b^2 = 361 - 64

b^2 = 297

b = \sqrt{297}

b = 3\sqrt{33} which is the segment AB

a^2 + b^2 = c^2

8^2 + b^2 = 11^2

64 + b^2 = 121

b^2 = 121 - 64

b^2 = 57

b = \sqrt{57} which is the segment DB

Subtract segment DB from segment AB in order to find the length of segment AD.

3\sqrt{33} - \sqrt{57} ≈ 9.684

<h2>Answer: 9.7 or 9.68 or 9.684 or 10 (depending on what your teacher wants as approximate answer)</h2>

Inessa [10]3 years ago
4 0

Answer:

35/6

Step-by-step explanation:

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a rectangle that is 30 inches long and 10 inches wide can be divided into two congruent squares. True or false?
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False

Step-by-step explanation:

To split the rectangle into 2 parts, you can go one of two ways. One way would make the parts 15" by 10", and the other way would make the two parts 30" by 5". Neither way is equal on all sides, which means neither one is a square. That would make the statement false.

                                                                30

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|                                                                                                                       5   |

|                                                                                                                            |

| _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _|

|                                                               30                                                         |

|                                                                                                                             |

|                                                                                                                       5    |

|                                                                                                                             |

| _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _ |

                                                          30

 _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  _  

|                                15                         |                                15                            |

|                                                             |                                                               |

|                                                             |                                                               |

|                                                             |                                                               |

|                                                             |   10                                                        |

|                                                             |                                                               |

|                                                             |                                                               |

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**Pretend my drawings are accurate to the lines, the tops and bottoms are actually 30 and 10 in measurement   :-) **

Hope this helps!

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