A bag contains marbles of 4 different colors: 8 blue marbles , 24 red marbles, 16 grreen marbles, 4 yellow marbles. What is the
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
A triangle adds up to 180.
180 - 50 = 130
Since both of the missing angles are congruent each of the missing angles is 65 degrees.
130/2 = 65
As per the exterior angle theorem, the measure of the exterior angle is determined by the sum of the opposite interior angles.
65 + 65 = 130
So, the measure of
The region bounded by the parabola and the x-axis is symmetric, so any inscribed rectangle whose base lies in the x-axis will have its base extend symmetrically around the origin, i.e. if the base has length 
, with 
, then its base is the line segment connecting the points 
and 
.
The height of such a rectangle will then by
.
The area of such a rectangle is then a function of
:
Differentiating with respect to gives
which has critical points at
We omit the negative root. Checking the sign of the second derivative at the positive critical point (it's negative) confirms that
is the site of a local maximum.
This means the largest area of this rectangle is
The height of such a rectangle will then by
The area of such a rectangle is then a function of
Differentiating with respect to
which has critical points at
We omit the negative root. Checking the sign of the second derivative at the positive critical point (it's negative) confirms that
This means the largest area of this rectangle is