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Blababa [14]
3 years ago
6

In the diagram, rectangle ABCD is split in half by AC . What is the value of tan x?

Mathematics
2 answers:
OverLord2011 [107]3 years ago
5 0

Answer:

4/3

Step-by-step explanation:

Anon25 [30]3 years ago
3 0

Answer:

E. ⁴/3

Step-by-step explanation:

Reference angle = x

Hypotenuse = 5

Opposite = 4

Adjacent = 3

Recall: TOA.

Tan x = Opp/Adj

Thus:

Tan x = 4/3

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/////////////////////////////////////////////////
Vikentia [17]

Answer:

  • 341

Step-by-step explanation:

<u>We observe the pattern:</u>

  • 1, 5, 13, 25, ..

<u>It can be put as:</u>

  • 0 + 1, 1 + 4, 4 + 9, 9 + 16, ..

or

  • 0² + 1², 1² + 2², 2² + 3², 3² + 4², ..

<u>The nth term is going to be:</u>

  • (n - 1)² + n²

<u>The sum of the 31 terms will be:</u>

  • N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²

or

  • N = 2(1² + 2² + 3² + ... + 30²) + 31²

<u>Use the formula for sum of the first n squares:</u>

  • 1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6

<u>The sum N equals:</u>

  • N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²

<u>And the value of N/31 is:</u>

  • 10*31 + 31 = 341

8 0
2 years ago
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2000 seats. The students
puteri [66]

Answer:

1340 students

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since the students left 33% of the seats open, that means they took up 67% of the seats.

67% is 0.67

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3 years ago
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