Find tan (22.5)
Answer: #-1 + sqrt2#
Explanation:
Call tan (22.5) = tan t --> tan 2t = tan 45 = 1
Use trig identity: # tan 2t = (2tan t)/(1 - tan^2 t)# (1)
#tan 2t = 1 = (2tan t)/(1 - tan^2 t)# -->
--> #tan^2 t + 2(tan t) - 1 = 0#
Solve this quadratic equation for tan t.
#D = d^2 = b^2 - 4ac = 4 + 4 = 8# --> #d = +- 2sqrt2#
There are 2 real roots:
tan t = -b/2a +- d/2a = -2/1 + 2sqrt2/2 = - 1 +- sqrt2
Answer:
#tan t = tan (22.5) = - 1 +- sqrt2#
Since tan 22.5 is positive, then take the positive answer:
tan (22.5) = - 1 + sqrt2
Total length of all ribbons = 12 * 3 = 36 inch
Then, number of ribbons = 36/4 = 9
In short, Your Answer would be: 9 sections
Hope this helps!
Steps to solve:
k + 10 = 27
~Subtract 10 to both sides
k = 17
Best of Luck!
2.75+5*1.65=11 kg weight of the box with laptops.
p=40+(11-5)*3.15=58.9
The cost to ship the packed box is $58.9
