If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

Here  the answer is 10=a

Step-by-step explanation:

= Tan 2A = cot(A+60°)

= cot(90-2A) = cot (A+60°)

= 90°-2A = A+60°

= 90°-60° =A+2A

= 30 = 3A

= 30\3 = A

= 10 = A

Hope it helps you and plz mark as brainliest..☺

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.