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love history [14]
3 years ago
12

Use WeUES U Hyucu

Mathematics
1 answer:
Sedbober [7]3 years ago
5 0

Answer:

ssnssjsbjsdBachsudb

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The number of ancestors in different generations of a male honeybee follow a Fibonacci sequence in five generations of male hone
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In the Fibonacci sequence, each term is found by adding the two previous terms together.  For generation 8, we would add generation 7 (21) and generation 6 (13); 21+13 = 34.  For generation 9, we would add generation 8 (34) and generation 7 (21); 34 + 21 = 55.
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3 years ago
Show Work Please Thank You
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Answer:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

Step-by-step explanation:

We are given the trigonometric equation of:

\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}

Let u = 4x then:

\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Convert u-term back to 4x:

\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}

Divide both sides by 4:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}

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