Answer:
The parent function f(x) = √x has been shifted
LEFT
1 unit and
DOWN
5 units.
Step-by-step explanation:
just took it
It's A
- Let<span> the </span>point<span> where </span>camper 1 heads north<span> be </span>D<span> and the </span>point<span> where </span>camper 2 heads
![-1\le\sin\theta\le1\implies(\csc\theta\le-1)\cup(\csc\theta\ge1)](https://tex.z-dn.net/?f=-1%5Cle%5Csin%5Ctheta%5Cle1%5Cimplies%28%5Ccsc%5Ctheta%5Cle-1%29%5Ccup%28%5Ccsc%5Ctheta%5Cge1%29)
which means
![\csc\theta=0](https://tex.z-dn.net/?f=%5Ccsc%5Ctheta%3D0)
has no solution, and we can omit that factor.
This leaves us with
![2\cos\theta-1=0\implies\cos\theta=\dfrac12](https://tex.z-dn.net/?f=2%5Ccos%5Ctheta-1%3D0%5Cimplies%5Ccos%5Ctheta%3D%5Cdfrac12)
which occurs for
![\theta=\pm\dfrac\pi3+2n\pi](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cpm%5Cdfrac%5Cpi3%2B2n%5Cpi)
.
Answer:
<h2>a) approximately 133 graduates</h2><h2>b) approximately 120°</h2>
Step-by-step explanation:
a) the number of graduates planning to continue studying :
= (37 1/2% + 12 1/2% + 16 2/3%) × 200
![=\frac{\left( 37\frac{1}{2} +12\frac{1}{2} +16\frac{2}{3} \right) }{100} \times200](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Cleft%28%2037%5Cfrac%7B1%7D%7B2%7D%20%2B12%5Cfrac%7B1%7D%7B2%7D%20%2B16%5Cfrac%7B2%7D%7B3%7D%20%5Cright%29%20%20%7D%7B100%7D%20%5Ctimes200)
= (37.5 + 12.5 + 16.666666666667)×2
= 133.333333333334
…………………………………
b) the measurement of the angle representing those who plan to work :
= (360× 33 1/2)÷100
= (360× 33.333333333333)÷100
=119.999999999999