The International Canine Academy raises and trains Siberian sled dogs and dancing French poodles.
Breeders can supply the academy with at most 20 poodles and 15 Siberian huskies
each year. Each poodle eats 2 lb/d of food and each sled dog eats 6 lb/d. Food
supplies are restricted to at most 100 lb/d. A poodle requires 1,000 h/yr of training,
whereas a sled dog requires 250 h/yr. The academy cannot provide more than
15,000 h/yr of training time. If each poodle sells for a profit of $200 and each sled
dog sells for a profit of $80, how many of each kind of dog should the academy
raise in order to maximize profits?

a

step-by-step explanation:

the answer is a

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

well

44-3-3-3=35

35+4+4+4+4=51

so the ansewr would be 51 degreesat 7: 00