Answer: 60 devil offspring.
Step-by-step explanation:
The total number of devils in the Island is 80.
Out of this 80, 75% are offspring from the two previous breeding seasons.
This percentage in a whole number is what the question requires.
The number of offspring from previous seasons is:
= Percent of offspring from previous seasons * Total number of devils
= 75% * 80
= 60 devil offspring.
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°
Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2
the answer part a) is
sin(2π/3)=√3/2
Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2
the answer part b) is
cos (2π/3)=-1/2
-12.405=-12 405/1000= 12 81/200
Answer:
The number of packs are peanuts butter are 4 .
Step-by-step explanation:
As given
Kylee bought a pack of 12 cookies.
one-third if the cookies are peanut butter.
Thus



Number of packs are peanut butter = 4
Therefore the number of packs are peanuts butter are 4 .
You have a probability of 7% to pick out the first orange marble then you have a probability of 8% to pick out the second orange.