Answer:
Dimensions: 
Perimiter: 
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:
This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:
The function we want to optimize is the diameter.
We can express the diameter as:
To optimize we can derive the function and equal to zero.
The minimum perimiter happens when both sides are of size 16 (a square).
Answer:
The price of an adult ticket it $5
Step-by-step explanation:
To solve this, we would find the system of equations. We would set up two equations that will represent the situation.
Let c = price per children ticket
Let a = price per adult ticket
Santo:
5c + 1a = 16.25
Hulda:
4c + 3a = 24
5c + 1a = 16.25 -> a = 16.25 - 5c
4c + 3a = 24
4c + 3(16.25 - 5c) = 24
4c + 48.75 - 15c = 24
-11c + 48.75 = 24
-48.75 -48.75
-11c = -24.75
/-11 /-11
c = 2.25
5c + a = 16.25
5(2.25) + a = 16.25
11.25 + a = 16.25
-11.25 -11.25
a = 5
a = $5 , c = $2.25
Answer:
9 x 3 = 27
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Step-by-step explanation:
Answer:
9 minutes
Step-by-step explanation:
60=15+5t
45=5t : subtract 15 from both sides
9=t : divide by 5 for both side
Answer:
1. 53
2. 20
3. 37
4. 29
Step-by-step explanation:
Since your trying to find the hypotenuse you equation is...
1. 28^2 + 45^2 = C^2
784 + 2025 = C^2
Square Root 2809= C^2
C=53
So after you square root 2809 you get 53.
2. 12^2 + 16^2 = C^2
144 + 256 = C^2
Square Root 400 = C^2
C=20
So after you square root 400 you get 40.
3. 12^2 + 35^2 = C^2
144 + 1225 = C^2
Square Root 1369 = C^2
C=37
So after you square root 1359 you get 37.
4. 20^2 + 21^2 = C^2
400 + 441 = C^2
Square root 841 = C^2
C=20
So after you square root 841 you get 29.
