Answer: 207
Step-by-step explanation:
To find the surface area, find the area of all the shapes in the three-dimensional figure and then add them.
Find the area of the two triangles first:
1/2*b*h = area of a triangle
1/2* 8* 9= 36
36 is the area of one of the triangles.
Multiply 36 by two because there are two triangles.
=72
Then find the area of the squares/rectangles.
8*5= 40
9*5= 45
10*5 = 50
72+40+45+50
=207
Answer:
220.00
-185.00
= 35.00 the difference of what was paid at the same prices.
r = ![\frac{3t}{t - 1}](https://tex.z-dn.net/?f=%5Cfrac%7B3t%7D%7Bt%20-%201%7D)
multiply both sides of the equation by r - 3
t(r - 3 ) = r ( distribute and collect terms in r together )
tr - 3t = r
tr - r = 3t ( factor out r )
r(t - 1 ) = 3t ( divide both sides by r - 1 )
r = ![\frac{3t}{t - 1}](https://tex.z-dn.net/?f=%5Cfrac%7B3t%7D%7Bt%20-%201%7D)
You need to use the identity
cos(90-u)=sin(u)
if u=x-20
cos(90-x+20)=sin(x-20)
cos(110-x)=sin(x-20)
substituting in the original function
cos(110-x)=cos(42)
for the functions to be equal there input must be equal
110-x=42
x=68