First, find the area of the triangle. The height is 9 and the base is 33. So, multiply the base times height, which is 297. Now, divide 297 by 2. This equals 148.5. Secondly, find the area of the rectangle. Multiply the length times the width. 38•20= 760. Now, add the areas of the two shapes. 148.5+760= 908.5. So, 908.5 is your final answer. :)
Hope this helps!
We would have to see the square to determine that
Answer:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Step-by-step explanation:
Protein Carbohydrates Iron calories
Food 1 (x₁) 10 1 4 80
Food 2 (x₂) 15 2 8 120
Food 3 (x₃) 20 1 11 100
Requirements 40 6 12
From the table we get
Objective Function z :
z = 80*x₁ + 120*x₂ + 100*x₃ to minimize
Subjet to:
Constraint 1. at least 40 U of protein
10*x₁ + 15*x₂ + 20*x₃ ≥ 40
Constraint 2. at least 6 U of carbohydrates
1*x₁ + 2*x₂ + 1*x₃ ≥ 6
Constraint 3. at least 12 U of Iron
4*x₁ + 8*x₂ + 11*x₃ ≥ 12
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
With the help of an on-line solver after 6 iterations the optimal solution is:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Answer:
Given argument is valid
Step-by-step explanation:
In venn diagram
M=Mammals
R=Reptiles
G=Gators
Given that
No mammals are reptiles ,So in the diagram we indicates by cross sign(x).Also given that some reptiles are gators ,so venn diagram of reptiles and gators will cross each other.
But from the above statement we can say that those gators are reptiles can not be mammals but those are not reptiles they can be mammals.Hence some gators are not mammals.
So given argument is valid
4 I THINK is the answer not 100% sure though
