It is at position B, there is the solar system
Hello :
f(x) = sin²(x) +cos(x)
the dirivate is : f'(x) = 2sin(x) cos(x) -sin(x) because :
( sin²(x) )' = 2sin(x) cos(x) and (cos(x))' = - sin(x)
f'(x) = 0 : sin(x) (2cos(x) - 1) = 0
sin(x) = 0 : x = k <span>π k in Z
</span>2cos(x) - 1 =0 : 2cos(x) =1
cos(x) = 1/2 = cos( π /3)
x = π /3 +2k π or x = - π /3 +2k π
in intervall : <span> <span>[0
, 2π] :
k=0 : x= 0 f(0) = 1 ( </span></span>minimum<span>)
</span>k=1 : x = π f(π) = -1 (<span>minimum)
x= </span> π /3 f ( π /3 ) = 1.25 ( <span>maximum)</span>
NO they are not proportional
3/7 = .4285714
6/9 = .66666
Use the formula A= height*base/2
Answer:
85°
Step-by-step explanation:
m∠4 measures 85 degrees.
m∠4 and m∠5 are alternate interior angles.
The alternate interior angles theorem states that <u>all pairs of alternate interior angles are congruen</u>t, or equal.
m∠4 ≅ m∠5
So, m∠5 should also be 85° as well as m∠4.
