92.3k views
18 votes
I need help with the question below.

Please show workings.

Question : Given

6 < x < 7, which of the following could be values of x :
1.

+ √(36)
2.

2\pi \: r
3.

(14)/(2)
4.

(1)/(0.15)
5.

\frac{ {( - 5)}^(2) }{4}
6.

\tan(81) \: degree
(tan 81°)






User Fasti
by
5.2k points

1 Answer

8 votes

9514 1404 393

Answer:

4, 5, 6, maybe 2

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.

User Caduceus
by
6.5k points