Answer:
5√2 units ≈ 7.07 units
Step-by-step explanation:
The ratio of leg to hypotenuse in an isosceles right triangle is ...
leg/hypotenuse = 1/√2
Multiplying by the length of the hypotenuse, we have ...
leg = hypotenuse/√2 = 10/√2
leg = 5√2 . . . . rationalize the denominator
The length of one leg is 5√2 units, about 7.07107 units.
B for Brats and H for Hamburgers
3 total for each of 30 guests
B + H = 3x30 = 90
Then $1.25B + $0.75H <= to $120
Solving for B=90-H
1.25B + 0.75(90-B) <=120 yields cost of B is $52.50 so B = 42.
90-42 = 48 H
So you can buy 42 Brats and 48 Hamburgers
You can check by saying 3 multiplied by 2 is 6, and 6 plus 4 gives you 10
Hope this helps!