10/16 = t /40
where t is the time in minutes that they will get to the front of the line.
Answer:
9/29
Step-by-step explanation:
If you add all of the cards together, you will get thirty. But when you take one red card out, you get 29. Since there are 9 orange cards, then there is a 9 out of 29 chance.
39/78 = .5 = 50%
...................
Answer: Pipes
Step-by-step explanation: Pipes transfer water around and veins transfer blood around the body
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
