Using the unit circle, the coordinates of 3π/4 is :
![(-\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%2C%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%29)
Note that tangent function can be solved using the formula y/x
where x and y are the coordinates of the angle.
This will be :
![\frac{\sqrt[]{2}}{2}\div(-\frac{\sqrt[]{2}}{2})=-1](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%5Cdiv%28-%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%29%3D-1)
The answer is -1
Answer:
$1.89
Step-by-step explanation:
1) 8p+3f=$10.39
2) 5p+4f=$10.51
where p represents pencil & f represents folder.
multiply the first equation by 5 and the second equation by 8.
40p+15f=$51.95
40p+32f=$84.08
Subtract
17f=$32.13
f=$32.13/17 =$1.89
Answer:
12
Step-by-step explanation:
Answer:
The smaller number can be 8 or
.
Step-by-step explanation:
Consider the provided information.
let the larger number is x and the smaller number is y
A positive number is 3 times another number.

If we add 2 to the larger and 5 to the smaller, then one of them becomes 2 times the other.
Case I: If 2nd number is 2 times to the first number.

Substitute the value of x.


Now substitute the value of y in 


Therefore, the smaller number is 8.
Case II: If 1st number is 2 times to the second number.

Substitute the value of x.




Therefore, the smaller number is
.
You will get paid $180 because there are 4, 7.5 hours in 30 hours so you multiply $45*4 and you get $180
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