<h2>
Answer:</h2>
348in²
<h2>
Step-by-step explanation:</h2>
6*8 = 48. This is the surface area of the largest rectangle.
6*9 = 54. This is the surface area of the top rectangle.
8*9 = 72. This is the surface area of the smallest rectangle.
The total is 72+54+48, so 174.
Because there are two of each rectangle, you times this number by 2.
174 * 2 = 348in².
Answer:
The solution to the inequality is
x > 2π
Step-by-step explanation:
Given the inequality :
2 - 3cscx > 8
We want to find the solution to this.
2 - 3cscx > 8
-3cscx > 8 - 2
-3cscx > 6
cscx < -2
But cscx = 1/cosx
1/cosx < -2
cosx > -1/2
x > arccos(-1/2)
x > 2π
First we need to determine what the 6 angles must add to. Turns out we use this formula
S = 180(n-2)
where S is the sum of the angles (result of adding them all up) and n is the number of sides. In this case, n = 6. So let's plug that in to get
S = 180(n-2)
S = 180(6-2)
S = 180(4)
S = 720
The six angles, whatever they are individually, add to 720 degrees. The six angles are y, y, 2y-20, 2y-20, 2y-20, 2y-20, <span>
They add up and must be equal to 720, so let's set up the equation to get...
(y)+(y)+(</span>2y-20)+(2y-20)+(2y-20)+(<span>2y-20) = 720
Let's solve for y
</span>y+y+2y-20+2y-20+2y-20+2y-20 = 720
10y-80 = 720
10y-80+80 = 720+80
<span>10y = 800
</span>
10y/10 = 800/10
y = 80
Now that we know the value of y, we can figure out the six angles
angle1 = y = 80 degrees
<span>angle2 = y = 80 degrees
</span><span>angle3 = 2y-20 = 2*80-20 = 140 degrees
</span>angle4 = 2y-20 = 2*80-20 =<span> 140 degrees
</span><span>angle5 = 2y-20 = 2*80-20 = 140 degrees
</span>angle6 = 2y-20 = 2*80-20 =<span> 140 degrees
</span>
and that's all there is to it
5(x+4)=4(x-6)
5x+5•4=4x-4•6
5x+20=4x-24
x= -44