Answer:
x = 35
Step-by-step explanation:
First count how many interior angles we have here.
There are 6 interior angles.
so we then can determine the interior sum of the angles here.
Inside angle sum = 180*(6 - 2) degrees = 180*4 = 720 degrees
so
(4x - 5)+(4x - 3) + 118 +(3x+6) + (3x-3) + 117 = 720 degrees
8x - 8 + 118 + 6x + 3 + 117 = 720 degrees
14x -8 + 118 + 120 = 720 degrees
14x + 230 = 720
14x = 720 - 230
14x = 490
x = 35
Substitute 1 for x in each of your equations.
f(x)=7-3x
which is
f(1)=7-3(1)
=3
Do the same for g(x)
g(x)=3x-7
which is
g(1)=3(1)-7
=-4
Then subtract g(x) from f(x):
3-(-4)
=7
:)
Find the length of one side.
V = s^3
s = cube root of V
V = 729
s = cube root 729
s = 9
Put this into your calculator as 729^0.333333333
It should bring back 9 or 8.999999 something which means 9.
Net
The net is shown below. You will have to do the labeling. But I can tell you what you should label each face as?
Area of one face = s^2
s = 9
Area of one face = 9*9
Area of one face = 81
So when you draw this, each face should be labeled with 81.
It should have it's units (ft^2) if your marker is picky.
Part C
There are 6 sides.
1 side has an area of 81 ft^2
6 sides have an area of 6*81 = 486 ft^2
Yes. The two smaller squares have a sum of 169 which is the value of the larger square.
a^2 + b^2 = c^2
25 + 144 = 169
It can be done. Notice the figure below shows you how to arrange the squares to give the answer of a^2 + b^2 = c^2
The correct answer is B. -4<x<2.
This is because the domain is looking for the values of x that can be used in the function. In the picture below, you will notice that the leftmost point is at x = -4. This is as low as the x value goes. The rightmost point is at x = 2, which is as large as the x value gets. Therefore the domain is between those two numbers.