zayo8468

04.12.2020 • 

Mathematics

A school held several evening activities last month—a music concert, a basketball game, a drama play, and a literacy night. The music concert was attended by 250 people. How many people came to each of the other activities? 1. Attendance at the basketball game was 30% of the attendance at the concert.

2. Attendance at the literary night was 44% of attendance at the concert.

3. Attendance at the drama play was 140% of attendance at the concert.

(THIS LAST PART IS ALSO PART OF THE PROBLEM)

50% of the people who attended the drama play also attended the music concert. What percentage of the people who attended the music concert also attended the drama play?

Ответ:

tremainewoodley3030

30.01.2020

Mathematics

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0, π, 2π, π/6, 5π/6, 7π/6 and 11π/6

Explanation:
3 tan³x = tan x
3 tan³x - tan x = 0
tan x (3 tan²x - 1) = 0
either tan x = 0
This means that:
x = 0 , π or 2π ...........> I

or 3 tan²x - 1 = 0
This means that:
3 tan²x = 1
tan²x = 1/3
tan x = ±
at tan x =
x = π/6 or 7π/6 ...................> II
at tan x = -
x = 5π/6 or 11π/6 ..............> III

From I, II and III, the solutions for x would be:
0, π, 2π, π/6, 5π/6, 7π/6 and 11π/6

Hope this helps :)

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