Answer:
The length of each side of the polyhedron, s is 4.142 or
= 
Step-by-step explanation:
If we take the distance of the length of the side of the cube where Donatello make the cut to the corner of the cube as x we get the side of length each polyhedron as

x·√2 because we have an hy
Therefore, the original cube had sides of length
10 = 2·x + x·√2
Solving for x we get

Therefore the length of s is x·√2 which gives

The length of each side of the polyhedron, s = 4.142.
" the sum " means add
17 + 2x = 87
2x = 87 - 17
2x = 70
x = 70/2
x = 35 <==
There are 12 months in a year and the equation is asking for 5 years, so 5x12=75
The rent starts at $700 and I️t increases $25 each month for 75 months
$700 +$25(75)
$700+ $1,875
$2,575
Answer:
8 meters
Step-by-step explanation:
Let side of square be "x"
and
Let side of equilateral triangle (triangle with all equal sides) be "y"
we know perimeter is the "sum of all the sides".
Now,
square's side is 10 longer than triangle's side, so we can write:
x = 10 + y
The perimeter of square is x + x + x + x = 4x
The perimeter of equilateral triangle is y + y + y = 3y
Now, perimeter of square is 3 times perimeter of triangle, so we can write:
4x = 3(3y)
4x = 9y
Now we replace this with 1st equation and solve for y:
4x = 9y
4(10 + y) = 9y
40 + 4y = 9y
40 = 5y
y = 40/5 = 8
The length of each side of triangle is 8 meters