ZJSG09112007
Answered

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I need help with the question below.
Please show workings.

Question : Given
[tex]6 < x < 7[/tex], which of the following could be values of x :
1.
[tex] + \sqrt{36} [/tex]
2.
[tex]2\pi \: r[/tex]
3.
[tex] \frac{14}{2} [/tex]
4.
[tex] \frac{1}{0.15} [/tex]
5.
[tex] \frac{ {( - 5)}^{2} }{4} [/tex]
6.
[tex] \tan(81) \: degree[/tex]
(tan 81°)




​

Sagot :

sqdancefan

9514 1404 393

Answer:

  4, 5, 6, maybe 2

Step-by-step explanation:

You're looking for values strictly between 6 and 7. In decimal, the number will have a leading digit of 6 and a non-zero decimal fraction.

1. √36 = 6 . . . out of range

2. 2πr ≈ 6.28r . . . value depends on r (presumed not in range)*

3. 14/2 = 7 . . . out of range

4. 1/0.15 ≈ 6.666...(repeating) . . . in range

5. 25/4 = 6.25 . . . in range

6. tan(81°) ≈ 6.31... . . . in range

____

* of course, 2π will be in range.

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