Find the value of thetatheta that makes each statement true.
a. sintheta=cos(theta+38).

26 degrees.

Step-by-step explanation:

sin theta = cos (theta + 38)

sin theta = cos theta cos 38 - sin theta sin 38

sin theta + sin theta sin 38 = cos theta cos 38

Using the values of  sin 38 and cos 38:

1.61566 sin theta =  0.78801 cos theta

Divide both sides by cos theta  (remember that tan theta = sin theta/cos theta)

1.61566 tan theta =0.78801

tan  theta = 0.48773

Theta = 26 degrees.

50=33x+22

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.