Step-by-step explanation:
2x + 5x(5x-7) = 100
2x+ 25x-35x=100
2x -10x =100
-8x =100
x=2/25
The piece of ribbon would be 75 inches. The ribbon would be 75 inches because 1 foot would be 12 inches and you would multiply 12 by 6 to get 72. Then, 1/4 of a foot would be 3 inches because you could divide 12 and 4(the denominator you are dealing with) to get 3. Then, add 72 + 3 to get 75. Hope this helps!
As we know,

now, let's plug the given values to find a² + b²
Answer:
16 millimeters
Step-by-step explanation:
- Length of the Triangular Prism=4 millimeters
- Base Length of One Triangular Face=13 millimeters.
- Volume of the Prism =416 cubic millimeters.
Now:
Volume of a Prism=Base Area X Prism Length
Since we have a triangular base:
Volume of the Prism=(0.5 X Base X Height) X Prism Length
Substituting the given values, we obtain:
416=(0.5 X 13 X Height) X 4
416=26 X Height
Divide both sides by 26
Height of its triangular face=16 millimeters