The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is
In this case, we have
<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> ) ==> d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )
<em>y(t)</em> = 5 - 2<em>t</em> ==> d<em>y</em>/d<em>t</em> = -2
and [<em>a</em>, <em>b</em>] = [0, 2]. The length of the curve is then
Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
<h3>What is a Regular Polygon?</h3>
A regular polygon is any n-sided polygon that has equal interior angles and equal sides.
Thus:
- Each angle of a regular hexagon = 120°
- Each angle of a regular pentagon = 108°
Therefore:
x = 360 - 120 - 108
x = 132°
Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.
Learn more about regular polygon on:
brainly.com/question/1592456
Answer:
radius = arc length / central angle in radians
radius = 4 inches / 5*PI / 12
radius = 4 / 1.308996939 radians
radius = 3.0557749074
radius = 3.0557749074 inches
Step-by-step explanation:
Answer:
(100×m) + d
where m is the month number of your birthday
and d is the day number of your birthday
Step-by-step explanation:
[(((m × 4) + 14) × 25) - 230] + d - 120
》[((4m + 14) × 25) - 230] + d - 120
》100m + 350 - 230 -120 + d
》100m + d
Answer: 130
In order to solve for <4, you need to know that supplementary angles add up to 180°.
<3 = 50
180 - 50
130
**For future questions**
1. The sum of the interior angles of a triangle is 180°
2. Alternate interior angles are congruent
3. The exterior angle of a triangle is the sum of the nonadjacent interior angles
See attachment below.
