For #3 you first need to know how many inches = a foot and 12 inches = a foot. So The answer would be for feet. The sentence would say, 3 feet. For the teacher you first need to know how many inches is your teacher desk. My teacher's desk is 36 inches. Since 12 inches equal a foot, we can divide 36 by 12 and we would get 3. So for mine my teacher's desk would be equal to 3 foot. The sentence would be: 3 foot. Together the complete sentence is: 3 rulers or 3 feet.
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:
$5.76
Step-by-step explanation:
Prinkpal balance = $24^4^6% =5.76
Answer:
9 and -4
Step-by-step explanation:
Find two numbers that multiply to be -36 and add to be -5.
That is -9 and 4.
So the factored form of x^2-5x-36 is (x-9)(x+4)
So the x-intercepts are 9 and -4
