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lisov135 [29]
3 years ago
5

Can someone explain to me how to do question number 6 please?

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0
Do the crossing out method. so if it is 2.50 per pound for peaches, try A, 11 pounds. 2.50 times 11 is 27.5, and now we have the rest, 154 pounds as apples so we multiply it by 1.75 which is 269.5, we add them up and we dont get 337.50, so we try out b,  18 times 2.5 is 45 so we still have 147 pounds left for apples, multiply it by 1.75 which is 257.25 and if we add up 45 and 257.25 we dont get 337.5 so now we try c which is 65, multiply it by 2.5 its 162.5 and we have 100 pounds of apples left. we do the same and we get 175, 175 plus 162.5 is 337.5 so C/3 is the correct answer
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Answer:

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Step-by-step explanation:

We are given the trigonometric equation of:

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\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)}

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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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