In triangle rst, angle r = 63 degrees, angle t=90 degrees, side rs =23, side st = 10.4. which ratios are correct. csc63=23/rt, sec 63=23/10.4, and cot 27=10.4/rt csc63=23/rt, sec 27=10.4/23, and cot63=10.4/rt csc63=23/rt, sec 27= 23/10.4, and cot 63 = rt/10.4 csc63=23/rt, sec 63=10.4/23, and cot27=rt/10.4

The correct ratios are: cse 27=23/RT, sec 27= 23/10.4 and cot 63 = RT/10.4

In triangle RST, angle T= 90° and angle R= 63°

As the total of all angle in any triangle is 180°, so the measure of the angle S = 180°- (90°+63°)

S= 180°- 153°

S= 27°

According to the rule of trigonometric ratios,

In respect of angle R (63°), side RS(23) is hypotenuse , ST(10.4) is opposite and RT is adjacent.

So, cse(63°) =

sec(63°) =

cot(63°) =

Now, in respect of angle S(27°), hypotenuse is RS(23), adjacent is ST(10.4) and opposite is RT.

So, cse(27°) =

sec(27°) =

cot(27°) =

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: