if it's a 10% discount that means that it is 90% of the original price. I prefer to solve these types of questions by finding 1%, then multiplying it by 90.
1200 / 100 = 1% of original price = 12$
12$ x 90 = 1080$
For a regular 8 sided polygon each angle against each side, is 360/8=45.
So x=45/2=22.5
Then
![\tan(22.5) = \frac{y}{8} \\ and \: we \: know \: \tan(22.5) = \ \sqrt[]{2} - 1 \\ so \: y = 8( \sqrt[]{2} - 1)](https://tex.z-dn.net/?f=%20%5Ctan%2822.5%29%20%20%3D%20%20%5Cfrac%7By%7D%7B8%7D%20%5C%5C%20and%20%5C%3A%20we%20%5C%3A%20know%20%5C%3A%20%20%5Ctan%2822.5%29%20%20%3D%20%20%5C%20%5Csqrt%5B%5D%7B2%7D%20%20-%201%20%5C%5C%20so%20%5C%3A%20y%20%3D%208%28%20%5Csqrt%5B%5D%7B2%7D%20%20-%201%29)
Answer:
y = -8
Step-by-step explanation:
Use reverse operations to isolate the variable, y.
![\frac{y}{-4} = 2](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B-4%7D%20%3D%202)
![-4(\frac{y}{-4}) = 2(-4)](https://tex.z-dn.net/?f=-4%28%5Cfrac%7By%7D%7B-4%7D%29%20%3D%202%28-4%29)
y = -8
the picture in the attached figure
we know that
In a Rhombus the diagonals are perpendicular bisectors of each other
so
LP=PN
and
LP=LN /2
LP=28 /2-------->LP=14 cm
the answer is
Lp=14 cm
Answer:
The slope of the line ![m = -\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
The point ( x₁ ,y₁) = ( 2,1)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the line
![y -1 = -\frac{1}{2} ( x-2)](https://tex.z-dn.net/?f=y%20-1%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20%28%20x-2%29)
Comparing y- y₁ = m(x-x₁)
The slope of the line ![m = -\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
The point ( x₁ ,y₁) = ( 2,1)
The equation of the straight line
![y -1 = -\frac{1}{2} ( x-2)](https://tex.z-dn.net/?f=y%20-1%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20%28%20x-2%29)
2(y-1) = -(x-2)
2y -2 = -x +2
x + 2y -2-2=0
x +2y -4=0
<u><em>Final answer:-</em></u>
The equation of the straight line x+ 2y-4=0
The slope of the line ![m = -\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
The point ( x₁ ,y₁) = ( 2,1)