Answer:
undefined
Step-by-step explanation:
Given
![\sin(\theta) = -1](https://tex.z-dn.net/?f=%5Csin%28%5Ctheta%29%20%3D%20-1)
Required
Determine ![\tan(\theta)](https://tex.z-dn.net/?f=%5Ctan%28%5Ctheta%29)
We know that:
![\sin^2(\theta) + \cos^2(\theta) = 1](https://tex.z-dn.net/?f=%5Csin%5E2%28%5Ctheta%29%20%2B%20%5Ccos%5E2%28%5Ctheta%29%20%3D%201)
This gives:
![(-1)^2 + \cos^2(\theta) = 1](https://tex.z-dn.net/?f=%28-1%29%5E2%20%2B%20%5Ccos%5E2%28%5Ctheta%29%20%3D%201)
![1 + \cos^2(\theta) = 1](https://tex.z-dn.net/?f=1%20%2B%20%5Ccos%5E2%28%5Ctheta%29%20%3D%201)
Collect like terms
![\cos^2(\theta) = 1 -1](https://tex.z-dn.net/?f=%5Ccos%5E2%28%5Ctheta%29%20%3D%201%20-1)
![\cos^2(\theta) = 0](https://tex.z-dn.net/?f=%5Ccos%5E2%28%5Ctheta%29%20%3D%200)
Take square roots
![\cos(\theta) = \sqrt 0](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta%29%20%3D%20%5Csqrt%200)
![\cos(\theta) = 0](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta%29%20%3D%200)
By tan identity
![\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}](https://tex.z-dn.net/?f=%5Ctan%28%5Ctheta%29%20%3D%20%5Cfrac%7B%5Csin%28%5Ctheta%29%7D%7B%5Ccos%28%5Ctheta%29%7D)
![\tan(\theta) = \frac{-1}{0}](https://tex.z-dn.net/?f=%5Ctan%28%5Ctheta%29%20%3D%20%5Cfrac%7B-1%7D%7B0%7D)
undefined
Answer: Slope is m = 2/3
Step-by-step explanation:
-You have exactly four points on a table:
![(3,2) (6,4) (9,6) (12,8)](https://tex.z-dn.net/?f=%283%2C2%29%20%286%2C4%29%20%289%2C6%29%20%2812%2C8%29)
-Use the slope formula and use any two points from those four points in order to find the slope:
![m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D)
-The two points I use are
and
for the equation:
![m = \frac{4 - 2}{6-3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B4%20-%202%7D%7B6-3%7D)
![m= \frac{2}{3}](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B2%7D%7B3%7D)
So, the slope of the table is
.
Answer:
1. 5 / 6
2. 1 / 3
3. 3 / 6 or 1 / 2
Step-by-step explanation:
The probability that A is not yellow is 5 / 6
The probability that B is blue is 1 / 3
The probability that A is red is 3 / 6 or 1 / 2
Answer:
$5084745.76271
Step-by-step explanation:
Given data
Final amount= $6000000
Rate=6%
Time= 3 years
Now let us find the initial amount which is the principal
using the simple interest formula we have
6000000 = P(1+0.06*3)
6000000 =P(1+0.18)
6000000 =P*1.18
P= 6000000 /1.18
P=$5084745.76271
Hence the initial deposite is $5084745.76271
Answer:
1. 8+(30/(2+4)) = 8+(30/6) = 8+5 = 13
2. ((8+30)/2)+4 = (38/2)+4 = 19+4 = 23
Step-by-step explanation:
:)