Answer:
5/12 miles
Step-by-step explanation:
5/6*1/2=
5*1/2*6=
5/12
Answer:
D
Step-by-step explanation:
5 (x + 6) = 45
Multiply 5 by what's in parenthesis.
5 times x = 5x ** use the + sign ** 5 times 6 = 30
5x + 30 = 45
We are given the coordinates of a polygon that are (0,0), (a,0), (a,a), (0,a). we can project these coordinates in a plot and see that there are four sides of the polygon. The sides of the polygon re equal and perpendicular to each other. Hence the polygon is a square
Answer:
![\theta=287^o](https://tex.z-dn.net/?f=%5Ctheta%3D287%5Eo)
Step-by-step explanation:
<u>Position in the Plane
</u>
If we place an object in a plane and mesure its x and y coordinates, we are referencig its position according to the rectangular system. Other popular way to reference positions is in polar form or magnitude-angle form. If we have the rectangular coordinates (x,y), we can easily find the polar coordinates
(and vice-versa). We use the formulas
![r=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
![\displaystyle tan\theta=\frac{y}{x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20tan%5Ctheta%3D%5Cfrac%7By%7D%7Bx%7D)
We have x=31.4 Km East (a positive coordinate) and y=-102.5 Km South (negative because it's pointing downwards). we need to find the angle respect to the East reference where
. Check the image below for reference.
![\displaystyle tan\theta=\frac{-102.5}{31.4}=-3.264](https://tex.z-dn.net/?f=%5Cdisplaystyle%20tan%5Ctheta%3D%5Cfrac%7B-102.5%7D%7B31.4%7D%3D-3.264)
![\theta=-73^o](https://tex.z-dn.net/?f=%5Ctheta%3D-73%5Eo)
The angle can be also given as a positive quantity by adding 360^o
![\theta=-73^o+360^o](https://tex.z-dn.net/?f=%5Ctheta%3D-73%5Eo%2B360%5Eo)
![\boxed{\theta=287^o}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctheta%3D287%5Eo%7D)