<span>Find the exact value of sec(-4π/3). Note that one full rotation, clockwise, would be -2pi. We have to determine the Quadrant in which this angle -4pi/3 lies. Think of this as 4(-pi/3), or 4(-60 degrees). Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees. This is in Q III. The ray representing -240 has adj side = -1 and opp side = to sqrt(3).
Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.
Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3) (answer). This could also be written as (2/3)sqrt(3).
</span>
1. 72 to 50 points
50/72 = 69%
100-69= 31% decrease
2. 14 to 40 books
14 / 40 = 35%
100-35= 65% increase
3. 10 plus 30% increase
10 * 0.3 = 13
Answer:
162.78
Step-by-step explanation:
Use your π =3.14
3.14 times 7.2 times 7.2
Answer:
It can be modeled with the equation 
but needs a starting population number to finish.
Step-by-step explanation:
To find the population in a future year, use the formula:
where A is the amount, p is the starting population, r is 2% or 0.02, and t is the number of years.
Since the population is increasing it is addition. Substitute r=0.02 and t=6. Without a starting population, we cannot find the population in 6 years.
