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
Answer:
The number of child tickets is 53
And adult tickets sold out is 93
Step-by-step explanation:
Let the child tickets be x
And the adult tickets be y
x+y = 146 - - - - - - - 1
x= 146-y
5.3x + 9.3y= 1145.80 - - - - - 2
We can substitute x= 146-y in equation 2
5.3(146-y) + 9.3y= 1145.80 - -- 2
773.8 - 5.3y +9.3y = 1145.80
773.8+4y= 1145.80
4y= 1145.80-773.8
4y= 372
y= 372/4
y= 93
We can now substitute y= 93 in equation 1 to find x
x+ 93= 146
x= 146-93
x= 53
Hence
The number of child tickets is 53
And adult tickets sold out is 93
Answer:
14.52
Step-by-step explanation:
13.57 + 13.57 x 7% = 13.57 x (1+7/100) =13.57 x 107/100 = 14.52
Answer:
option A is correct answer of this question
hope yr day will full of charm
The probability that the result that is gotten will be a multiple of 3 and 2 will be 2/15.
<h3>How to calculate the probability</h3>
From the information, the spinner has 15 equal areas, numbered 1 through 15.
The multiple of 3 and a multiple of 2 among the numbers will be 6 and 15. Therefore, the probability will be two out of fifteen. This will be 2/15.
Learn more about multiples on:
brainly.com/question/1067440
