25% reduced
you take 337.50 divide by 450 which gives you .75
so you take 100% minus 75% and you get 25%
you can check the work by taking 450 time .25 which gives you 112.5 . and subtract that from 450 you'll end up with 337.50
Answer:
x > 1/5
Step-by-step explanation:
All of these three triangle inequalities must be satisfied:
AB +BC > AC
BC +CA > BA
CA +AB > CB
___
Taking these one at a time, we have ...
AB +BC > AC
3x +4 + 2x +5 > 4x
x +9 > 0 . . . . . subtract 4x
x > -9
__
BC +CA > BA
2x +5 + 4x > 3x +4
3x > -1 . . . . . . subtract 3x+5
x > -1/3 . . . . . divide by 3
__
CA + AB > CB
4x + 3x +4 > 2x +5
5x > 1 . . . . . . subtract 2x+4
x > 1/5
___
The only values of x that satisfy all of these inequalities are those such that ...
x > 1/5
By pythagoreans' theorem,
Longer edge
= √(2² + 6²)
= √40
∴ The length of the longer edge is the square root of 40 feet.
Shorter edge
= √(1² + 3²)
= √10
Area = L × B
= √40 × √10
= 20 feet²
Answer:
8.5 ft.
Step-by-step explanation:
We'll use this right triangular prism volume formula: base area x height = volume
base area = ?
length = 10.8
volume = 91.8
base area x 10.8 = 91.8
Divide both sides by 10.8
base area x 10.8/10.8 = 91.8/10.8
base area = 8.5
