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Mnenie [13.5K]
3 years ago
14

Find the length to the nearest tenth of a foot.

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

9514 1404 393

Answer:

  6.2 feet

Step-by-step explanation:

The mnemonic SOA CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we have the side opposite the 58° angle, and we want to know the side adjacent. The relevant relation is ...

  Tan = Opposite/Adjacent

  tan(58°) = (10 feet)/x

  x = (10 feet)/tan(58°) ≈ 6.249 feet

The length of the shadow is about 6.2 feet.

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Which sequence could be described by the explicit definition: t_n=2^n+1t n = 2 n + 1
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Answer:

2. 27

3. Option C. 3, 5, 9, 17, 33, ...

Step-by-step explanation:

2. The sequence is defined by the explicit function t_{n} = 2^{n}  - n

Therefore, the 5th term i.e. t_{5} of the sequence.

t_{5} = 2^{5}  - 5 = 32 - 5 = 27 (Answer)

3. The explicit definition is t_{n} = 2^{n}  + 1

Hence, t_{1} = 2^{1}  + 1 = 3

t_{2} = 2^{2}  + 1 = 5

t_{3} = 2^{3}  + 1 = 9

t_{4} = 2^{4}  + 1 = 17

Therefore, the option C is the right sequence. (Answer)

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