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expeople1 [14]
3 years ago
11

Does anyone know how to solve this inequality algebraic-ally:

Mathematics
2 answers:
Phoenix [80]3 years ago
7 0
Answer:

[-1/2,3]

Explanation:

Solve the Inequality by finding the roots and creating test intervals.

Note, the answer was provided in Intervals Notation form.
Snezhnost [94]3 years ago
3 0

Answer:

-1/2 ≤ x ≤ 3

Step-by-step explanation:

hope that helps

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Given: △ABC; AB=BC, m∠BDA = 60°, BD=4 cm, BD ⊥ BA . Find: DC, AC.
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Answer:

DC = 10.93 cm ,  AC = 9.8 cm

Step-by-step explanation:

From trigonometry;

⇒ Tan 60 = AB/BD

⇒AB = BD Tan 60 ( where BD = 4 cm )

⇒ AB = 6.93 cm

Also, AB=BC , therefore;

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⇒ Cos 60 = BD/AD

⇒ AD = BD/ Cos 60 = 4/Cos 60

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From Pythagoras theorem;

⇒ AC^{2} = AB^{2} + BC^{2} = (6.93)^{2} + (6.93)^{2}

⇒ AC = \sqrt{96.05} = 9.80 cm

⇒ DC = BD + BC = 4 + 6.93

⇒ DC = 10.93 cm

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