Hello,
tan (t)<0
==> sin (t) /cos (t)<0
==>1 / cos (t)<0 [since sin (t) ≠0, dividing by sin (t) ]
==> cos (t) <0
Answer:
The balance in Bank B will be greater.
Step-by-step explanation:
Because simple interest is just interest on the principle only which is 50 every year doesn't change but with compound interest you will get 2% Interest every year. principle+interest
1/18 because 1/6 of 1/3 of the girls painted their nail red and 1/6 of 1/3 is 1/6*1/3 or 1/18.
Answer:
82
Step-by-step explanation:
You are looking for the hypotenuse.
c = ?
a = 80
b = 18
c^2 = a^2 + b^2
c^2 = 18^2 + 80^2
c^2 = 324 + 6400
c^2 = 6724
sqrt(c^2) = sqrt(6724)
c = 82 inches
Answer:
Step-by-step explanation:
Given:
To find: points of intersection of the given lines
Solution:
In substitution method, the system of equations is solved by expressing one variable in terms of another, as a result, removing one variable from an equation.
Put 
in the equation 
![2x+8y=7\\2[\frac{1+2y}{5}]+8y=7\\ 2+4y+40y=35\\44y=35-2\\44y=33\\y=\frac{33}{44}\\ =\frac{3}{4}](https://tex.z-dn.net/?f=2x%2B8y%3D7%5C%5C2%5B%5Cfrac%7B1%2B2y%7D%7B5%7D%5D%2B8y%3D7%5C%5C%202%2B4y%2B40y%3D35%5C%5C44y%3D35-2%5C%5C44y%3D33%5C%5Cy%3D%5Cfrac%7B33%7D%7B44%7D%5C%5C%20%3D%5Cfrac%7B3%7D%7B4%7D)
Put 
in the equation
![x=\frac{1+2y}{5}\\=\frac{1}{5}[1+2(\frac{3}{4})]\\=\frac{1}{5}[1+(\frac{3}{2})]\\\\=\frac{1}{5}(\frac{2+3}{2}) \\\\=\frac{1}{5}(\frac{5}{2})\\\\=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%2B2y%7D%7B5%7D%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%5B1%2B2%28%5Cfrac%7B3%7D%7B4%7D%29%5D%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%5B1%2B%28%5Cfrac%7B3%7D%7B2%7D%29%5D%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%28%5Cfrac%7B2%2B3%7D%7B2%7D%29%20%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%28%5Cfrac%7B5%7D%7B2%7D%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore,
