Trigonometry:
We know that csc x = 1 / sin x and π = 180°;
sin 5π/ 6 = sin 150° = 1/2
csc 2π / 3 = 1 / sin 120° = 1 / √3/2 = 2 / √3
Finally:
4 · 1/2 + 7 · ( 2 / √3 )² = 2 + 7 · 4/3 =
= 2 + 28/3 = 2 + 9 1/3 = 11 1/3
Answer:
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Step-by-step explanation:
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Answer:
12. 708, 12.78, 12.807, 12.87
(not sure if this is what you mean)
Answer:
= 3.75
Step-by-step explanation:
The n th term of a geometric sequence is
= a₁
where a₁ is the first term and r the common ratio
Here a₁ = 30 and r =
, thus
= 30
= 30 ×
=
=
= 3.75
Answer:
1/2 or 50% of the population has heard the rumor when it is spreading fastest.
Step-by-step explanation:
We need to take the derivative with respect to y from the r(y) = dy/dt = 2y(1-y) and equal to zero. At this condition we maximize the function and will get the maximum of the rumor spreading.

Therefore we just need to find y:

So 1/2 or 50% of the population has heard the rumor when it is spreading fastest.
I hope it helps you!