<span>Which ordered pair is the best estimate for the solution to the system?
</span>A. (2, −6.5)
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
Answer:
1 /8
Step-by-step explanation:
Given that :
Number of sections on spinner = (1,2,3,4,5,6,7,8) = 8
Number of 5's = 1
Recall :
Probability of event A = number required outcome / Total possible outcomes
P(5) = 1/8
Answer:
342
Step-by-step explanation:
Let's see the difference is each successive values:
232 - 217 = 15
252 - 232 = 20
277 - 252 = 25
307 - 277 = 30
As we can see, each month the increase is 5 more than previous months' increase. <em>Clearly from the pattern we can surmise that the next month (August), it will increase by 35 from the value of July.</em>
Number of visitors in August = Number of Visitors in July + 35 = 307 + 35 = 342
