Easy peasy
remember that the arc is a part of the perimiter of the circle aka circumference
also 360 degrees=circle
we are given the radius
calculate circumference
c=2pi times r
r=14
c=pi times 2 itimes 14
c=28pi
100 degrees is the arc
find what fraction of the circumferece thei srepresents
whole=360
100/360=10/36=5/18
so if circumference=28pi then multiply 5/18 by that
5/18 times 28pi=140pi/18=70pi/9
legnth=(70pi)/9 cm
if you were to aprox pi to 3.14 then the answer would be
24.4222222 cm
We want to know when we brought it back in to the room. at that time
the temperature difference is 80 - 42 = 38 so we have to solve
<span>
38=9<span>e<span>^−.3344t</span></span></span> for t
this time we get
<span><span>38 / 9</span>=<span>e^<span>−.3344t</span></span></span>
<span>t=<span><span>ln(<span>38 / 9</span>)</span><span> / −.3344</span></span></span>
<span>t=−4.3</span>
so 4.3 minutes before 2:10
So an example
least common multipule is like what is
the smallest number both will fit into
example, 6 and 10, least common
multilule is 30 because 6*5=30 and 3*10=30
so 3 and 4
factor each
3=3
4=2*2
so we have to have 2*2*3 which is 12
12 is least common multiplule
The x coordinate of the vertex = -b/2a = -(-6) / 2*34 = 0.08824
y coordinate = 34(0.08824^2 - 6(0.08824) + 15 = 14.735
so its (0.088, 14.735) correct to 3 decimal places
