2.(a) Express √2 cos x - √5 sin x in the form R cos(x + α), where R > 0 and 0° < α < 90°. Give the exact value of R and the value of a correct to 3 decimal places.
[3]
(b) Hence solve the equation √2 cos 2θ - √5 sin 2θ = 1, for 0° < θ < 180°.
[4]

Acertain standardized? test's math scores have a? bell-shaped distribution with a mean of 520 and a standard deviation of 105. complete parts? (a) through? (c)

Your friend swims on the school team. in his first four races, his times are 24.7, 23.5, 25.6, and 27.2 seconds. which time listed for his next race would make the range larger?

The local farm is advertising a special on fresh picked peaches. the farm charges $4.25 to pick your own peck of peaches and $3.50 for each additional peck you pick. write an equation for the total cost of peaches in terms of the number of pecks. deine your variables. how much does it cost to pick 3 pecks of peaches?