Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
The Pythagorean theorem is
a^2 + b^2 = c^2 where a and b are the legs of the triangle and c is the hypotenuse
Answer:
z - 2*x - 1.5*y = 0 maximize
subject to:
3*x + 5*y ≤ 800
8*x + 3*y ≤ 1200
x, y > 0
Step-by-step explanation:
Formulation:
Kane Manufacturing produce x units of model A (fireplace grates)
and y units of model B
quantity Iron cast lbs labor (min) Profit $
Model A x 3 8 2
Model B y 5 3 1.50
We have 800 lbs of iron cast and 1200 min of labor available
We need to find out how many units x and units y per day to maximiza profit
First constraint Iron cast lbs 800 lbs
3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800
Second constraint labor 1200 min available
8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200
Objective function
z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0
x > 0 y > 0
The first table is ( to apply simplex method )
z x y s₁ s₂ Cte
1 -2 -1.5 0 0 0
0 3 5 1 0 800
0 8 3 0 1 1200
Okay. So Nina's fourth bounce is 6 feet high. The following bounces will be 2/3 as high as the previous. That is also similar to exponential decay. 6 is 2 away from 4. For this, we will raise 2/3 to the 2nd power. We can basically just multiply it together. 2/3 * 2/3 is 4/9. Now, we multiply that fraction by 6. 6 is 6/1 as a fraction. 6/1 * 4/9 is 24/9 or 2 2/3 in simplest form. There. Nina's sixth bounce will be 2 2/3 feet high.
Answer:
A 32.1
Step-by-step explanation:
Given two points 
)
distance between to points = d = 
Now B is (-4,5) and A is (2,0)
So AB = 
C is (4,10)
So BC = 
D is (8,7)
So CD = 
E is (4,5)
So DE = 
and AE = 
Perimeter = 7.810 + 9.433 + 5 + 4.472 + 5.385 = 32.1
