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Harrizon [31]
4 years ago
7

Help me out please thank you

Mathematics
2 answers:
neonofarm [45]4 years ago
7 0

Answer:

1. 12

2. 4

3. 24

4. 30

5. 14

hichkok12 [17]4 years ago
5 0

Answer:

1) 12 (2) 4 (3) 24 (4) 30 (5) 14

Step-by-step explanation:

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louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is
OleMash [197]

Answer:

400 m^2.

Step-by-step explanation:

The largest  area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20  = 400 m^2.

Proof:

Let the  sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A  we find the derivative and equate it to 0:

derivative A' =  40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20  

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

3 0
3 years ago
The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem
Art [367]

Answer:

a

the displacement of the plane is  - \= w

b

The displacement of plane  from Portland to Akron with layover at Houston is  

       \= v  + \= w

c

  the vector which defines this displacement is  \= v + \= w  =- 2500 \ km

Step-by-step explanation:

From the question we are the

   The displacement from Portland, Oregon to Houston, Texas. is  \= v

    The displacement  from Houston, Texas to Akron, Ohio.  is \= wa

a

   The motion of the plane in question a is in the opposite direction to vector \= w

So the displacement of the plane is  - \= w

b

The motion of Portland to Houston to Akron is in the direction of both vector \= v and  \= w  so

The displacement of plane  from Portland to Akron with layover at Houston is  

       d =  \= v  + \= w

c

From the question we are told that the plane flies over Portland to get to  Anchorage, Alaska which implies that it is moving in opposite direction to the vector \= v

   Give that distance from Portland to Houston is  \= v  = 3000 km

           and the distance from Portland to  Anchorage is \= w = - 5500km

Then the vector which defines this displacement is mathematically represented as

   \= v + \= w  = 3000  -5500

    \= v + \= w  =- 2500 \ km

       

4 0
3 years ago
Someone help me pls show work
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Answer:

*insert answer*

Step-by-step explanation:

I dont know it but hey

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