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:
24% chance
Step-by-step explanation:
First, find the total number of graduates in the table, that number is 2610, that will be your numerator.
You will look at the table for the total number of students, that is 10730, that will be the denominator.
Now divide the smaller number/numerator (2610) by the larger number/denominator (10730)
= 0.2432432...
Then, multiply by 100 to get the percentage: 24.32432...%
Now, round to the nearest percentage: 24%
Answer:
Formula: A = 48,000(1+0.02)^t
salary after 30 years: $ 86,945.35
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = initial salary
r = raising rate (decimal form)
t= years
A = salary after t years
Replacing with the values given:
A = 48,000 (1+ 2/100)^t
A = 48,000(1+0.02)^t
Salary after 30 years: substitute t=30
A = 48,000(1+0.02)^30
A = 48,000(1.02)^30
A=$ 86,945.35
Feel free to ask for more if needed or if you did not understand something.
The reference of the angle would be 45 degrees
To start, you want to determine the inequality. You can do this by setting the number of buying n fish to be less than or equal to her current amount of money, being as it can't go over or she wouldn't be able to afford the fish. This inequality would be written so her amount of money (20) would be greater than or equal to the cost of n fish (2.5n), which would then look as such: 20≥2.5n. To solve this inequality, just solve for n by dividing both sides by 2.5, giving you 8≥n. This would mean that Becky can afford to buy up to 8 fish.
