Answer:
Step-by-step explanation:
a c e
Answer: Hewo, there! your Answer is Below
18.2 Would be your answer rounded to the nearest tent the Orignal Answer was 18.24
Step-by-step explanation:
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4.) (the next prime function)
2x2x3x2
2x2x3x2x2
2x2x3x2x2x2
So listen to this logic
lets say you have 3 numbers, m,a,x where they are all positivie
m>a>x
therefor
m^2>a>2>x^2
if m and a and x are square roots, therefor we can reverse the square root
confusing sorry
square 5 and 6
5^2=25
6^2=36
the number betwe 25 and 36
that would be 32
answer is √32
goes like this
5^2<32<6^2
sqrt both sides
5<√32<6
answer is √32
tan2x*cotx - 3 = 0
We know that: tan2x = sin2x/cos2x and cotx = cosx/sinx
==> sin2x/cos2x *cosx/sinx = 3
Now we know that sin2x = 2sinx*cosx
==> 2sinxcosx/cos2x * cosx/sinx = 3
Reduce sinx:
==> 2cos^2 x/ cos2x = 3
Now we know that cos2x = 2cos^2 x-1
==> 2cos^2 x/(2cos^2 x -1) = 3
==> 2cos^2 x = 3(2cos^2 x -1)
==> 2cos^2 x = 6cos^2 x - 3
==> -4cos^2 x= -3
==> 4cos^2 x = 3
==> cos^2 x = 3/4
==> cosx = +-sqrt3/ 2
<span>==> x = pi/6, 5pi/6, 7pi/6, and 11pi/6</span>