Answer:
![\frac{n}{3n-2}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B3n-2%7D)
Step-by-step explanation:
Given the expression:
![\frac{2n}{(6n+4)} \cdot \frac{3n+2}{3n-2}](https://tex.z-dn.net/?f=%5Cfrac%7B2n%7D%7B%286n%2B4%29%7D%20%5Ccdot%20%5Cfrac%7B3n%2B2%7D%7B3n-2%7D)
Using the distributive property: ![a \cdot (b+c) =a\cdot b+a\cdot c](https://tex.z-dn.net/?f=a%20%5Ccdot%20%28b%2Bc%29%20%3Da%5Ccdot%20b%2Ba%5Ccdot%20c)
![\frac{2n}{2(3n+2)} \cdot \frac{3n+2}{3n-2}](https://tex.z-dn.net/?f=%5Cfrac%7B2n%7D%7B2%283n%2B2%29%7D%20%5Ccdot%20%5Cfrac%7B3n%2B2%7D%7B3n-2%7D)
Simplify:
![\frac{2n}{2} \cdot \frac{1}{3n-2}](https://tex.z-dn.net/?f=%5Cfrac%7B2n%7D%7B2%7D%20%5Ccdot%20%5Cfrac%7B1%7D%7B3n-2%7D)
Simplify:
![\frac{n}{3n-2}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B3n-2%7D)
Therefore, the simplified given expression is, ![\frac{n}{3n-2}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B3n-2%7D)
Graph D, because no x-value repeats and it passes the vertical line test.
Step-by-step explanation:
2 things to remember for problems like this :
the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.
so, now for the given problems :
4.
x/sin(90) = 12/sin(29)
x/1 = x = 12/sin(29) = 24.75198408...
rounded x = 24.8
5.
the opposite angle of x is
180 - 90 - 16 = 74 degrees.
x/sin(74) = 37/sin(90) = 37
x = 37×sin(74) = 35.56668275...
rounded x = 35.6
6.
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 22/sin(58)
x = 22×sin(32)/sin(58) = 13.74712574...
rounded x = 13.7
7.
the opposite angle of 15 is
180 - 90 - 51 = 39 degrees.
x/sin(51) = 15/sin(39)
x = 15×sin(51)/sin(39) = 18.52345735...
rounded x = 18.5
Answer:
a) 1200
b) 450
c) 380
d) 560
Step-by-step explanation:
Square's are equal on all sides so if one leg of the square is eight then the others are also and in order to find the area of a square you multiply the height by the width so 8^2 or eight squared is the expression. Your answer is the area is 64 ft^2 and the expression is : 8^2=64