A=4*<span>π*r^2
A=4*</span><span>π*2^2
=50.3</span>
Answer:
P: the principal, the amount invested
A: the new balance
t: the time
r: the rate, (in decimal form)
Step-by-step explanation:
Ex1: If $1000 is invested now with simple interest of 8% per year. Find the new amount after two years.
P = $1000, t = 2 years, r = 0.08.
A = 1000(1+0.08(2)) = 1000(1.16) = 1160
9514 1404 393
Answer:
sin(θ)tan(θ)
Step-by-step explanation:
![\dfrac{\cos\theta}{\csc^2\theta-1}=\dfrac{\cos\theta}{\cot^2\theta}=\cos\theta\cdot\tan^2\theta=\cos\theta\cdot\dfrac{\sin\theta}{\cos\theta}\cdot\tan\theta\\\\=\boxed{\sin\theta\cdot\tan\theta}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ccos%5Ctheta%7D%7B%5Ccsc%5E2%5Ctheta-1%7D%3D%5Cdfrac%7B%5Ccos%5Ctheta%7D%7B%5Ccot%5E2%5Ctheta%7D%3D%5Ccos%5Ctheta%5Ccdot%5Ctan%5E2%5Ctheta%3D%5Ccos%5Ctheta%5Ccdot%5Cdfrac%7B%5Csin%5Ctheta%7D%7B%5Ccos%5Ctheta%7D%5Ccdot%5Ctan%5Ctheta%5C%5C%5C%5C%3D%5Cboxed%7B%5Csin%5Ctheta%5Ccdot%5Ctan%5Ctheta%7D)
To answer this question you must know that there is a theorem called the "Two secants angle theorem", which establishes that the measure of an angle formed when two secants intersecting outside the circle is equal to 1/2 the difference of the two intercepted arcs.
Therefore, as you can see, the correct answer is the option B): B)<span>1/2 the difference of the intercepted arcs</span>