For any polygon the sum of the exterior angles is 360. Since The polygon is regular divide 360 by 12 to get the exterior angle measure. Interior and exterior angles are supplemental so subtract the exterior angle measure from 180.<span>
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Answer:
6 because 6 is the x value
Step-by-step explanation:
Answer:
a) positive direction: t < 2s & t>6s ; negative direction: 2s < t < 6s
b) 7 m
c) 71 m
Step-by-step explanation:
Given:
v(t) = 3t^2 -24t +36 [0 , 7]
Find:
a) The value of time when particle is moving in positive direction:
The change in direction of the particle can be determined by v(t) > 0
Hence,
0 < 3t^2 -24t +36
0 < t^2 - 8t + 12
0 < (t - 2)*(t - 6)
t < 2s , t > 6s
The particle travels in positive direction in the interval t < 2s and t > 6s , While it travels in negative direction when 2s < t < 6s.
b) The displacement ds over the given interval [ 0 , 7 ]
ds = integral (v(t)).dt
ds = t^3 -12t^2 +36t
ds = 7^3 -12*7^2 +36*7
ds = 7 m
c) Total distance traveled in the interval:
Total distance= ds(0-2) + ds(2-6) + ds(6-7)
D = 2*(2^3 -12*2^2 +36*2) - 2*(6^3 -12*6^2 +36*6) + 7
D = 2*32 - 2*0 + 7
D = 71 m
B) If we subtract females who prefer dogs from the total that prefer dogs we will know how many males prefer dogs.
290-180=110
So 110 males prefer dogs.
c) 180 females prefer dogs and 12 prefer fish, so 180+12=192 females do not prefer cats.
Answer:
1/3
Step-by-step explanation:
We know that angle subtended by whole circumference is 
.
If r is the radius then Length of whole circumference is 
radian has length
dividing both side by we have
1 radian has r length
1 radian = r length equation a
=> since we have to find value of circumference for 
we
multiply both side of equation a with .
therefore, length of required arc is 
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we have to find how much is this as fraction of total circumference of circle
fraction of circumference = value of arc length / total length of circumference
fraction of circumference = 
Thus, the given arc is 1/3 of circumference of circle.
