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United Arab Emirates
3. (Maximum matk 8 ) (a) Show that \( \sin 2 x+\cos 2 x-1=2 \sin x(\cos x-\sin x) \). (b) Honco or ohnowise, solve \( \sin 2 x+\cos 2 x-1+\cos x-\sin x=0 \) for \( 0<x<2 \pi \).
Trigonometry Jan 19, 2025
14. Mary saves for a holiday each year. In 2020 she saved a total of \( \$ 720 \) In 2021 , each month she saved \( \$ 78 \) The total amount Mary saved in 2021 was \( P \% \) more than the total she saved in 2020 (a) Work out the value of \( P \)
Arithmetic Jan 19, 2025
16. A rectangle has length \( L \) and width \( W \) \( L \) is increased by \( 20 \% \) \( W \) is decreased by \( 35 \% \) Calculate the percentage reduction in the area of the rectangle.
Algebra Jan 19, 2025
Express 12 cm as a percentage of 2 m
Arithmetic Jan 19, 2025
13) A basketball player shot 200 prectice shots in one day. \( 41 \% \) of the shots weat in the basket. How many shots did the basketball player make? \( \qquad \) 14) A hospital has 225 employees. \( 24 \% \) of the employees are doctors. How many doctors work at the hospital? \( \qquad \) 15) A country club has 300 members. \( 65 \% \) of the members are 30 years of age or olden. How many members are younger than 30 years of age? \( \qquad \) 16) A concert has 350 audience members. \( 28 \% \) of the audience members purchase a beverage at the concert. How many audience members purchase a beverage? \( \qquad \) 17) A fishing bost catches 400 tish in one day, \( 32 \% \) percent of the lish will be sold to sushi restaurants. How many fish will not be sold to sushi restaurants? \( \qquad \)
Arithmetic Jan 19, 2025
\begin{tabular}{l} 10) \( 8 \% \) of \( 25= \) \\ 12) \( 14 \% \) of \( 125= \) \\ \hline\end{tabular}
Arithmetic Jan 19, 2025
Determine whether each equation represents a linear or nonilinear function Explain. (exnmpirs 4 and 5) \( \begin{array}{ll}\text { 6. } y+7 x=-2 & \text { 7. } y=\sqrt{8 x}\end{array} \)
Algebra Jan 18, 2025
Describe how factoring can simplify a quadratic expression.
Algebra Jan 18, 2025
Select the passage that has a more scornful tone. The others were yelling with laughter. Have you ever noticed how very amused people always are when you're not there? If you're in bed-ill, or in disgrace, or anything-it always sounds like far finer jokes than ever occur when you are there. I think I never heard so many old played-out jokes strung together in my life. He was worse than a jester, worse than the clown in the circus. It seemed peculiarly sad to sit here and listen again to poor, flat, worm-eaten jokes that had been terrible when I was a boy.
English Jan 18, 2025
MR.SEIF AIEF learn to innovate lan (2). \( \operatorname{EVVEI} \) QP Q15. 23 Simplify \( \left(x^{2}-4\right) \div\left(\frac{4 x^{2}-7 x-2}{x}\right)-2 x \) Give your answer in the form \( \frac{a x^{2}}{b x+c} \) where \( a, b \) and \( c \) are integers.
Algebra Jan 18, 2025
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