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lisov135 [29]
3 years ago
14

Lisa wants to build a table and put a border around it. The table and border must have an area of 3,996 square inches. The table

is 42 inches wide and 36 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x?
Mathematics
1 answer:
Vinvika [58]3 years ago
3 0

Answer:

The answer is 2,484.

Step-by-step explanation:

First you would have to multiply 42 times 36 then subtract 1,512 from 3,996 you will get 2,484

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1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:​
MA_775_DIABLO [31]

Answer:

Cuadrilátero A: A = y^{2}+4\cdot y +4

Cuadrilátero B: A = a^{2}+6\cdot a + 9

Step-by-step explanation:

Existen dos formas distintas de determinar las áreas de cada cuadrilátero:

(i) <em>Obtener el área de cada cuadrado y sumar los resultados.</em>

(ii) <em>Calcular los lados del cuadrilátero grande y determinar el área. </em>

Cuadrilátero A

Método (i)

A = y^{2}+2\cdot y +4+2\cdot y

A = y^{2}+4\cdot y +4

Método (ii)

A = (y+2)\cdot (y+2)

A = y^{2}+4\cdot y + 4

Cuadrilátero B

Método (i)

A = a^{2}+3\cdot a +9 + 3\cdot a

A = a^{2}+6\cdot a +9

Método (ii)

A = (a+3)\cdot (a+3)

A = a^{2}+6\cdot a + 9

8 0
2 years ago
a family of 4 went to a lacrosse game and spent a total of $74. they each had a hot dog, popcorn, and a soda. a hot dog cost $3,
Taya2010 [7]

Answer:

12$

Step-by-step explanation:

74 - 4(1.50+3+2) = 48

48 / 4 = 12

4 0
3 years ago
In triangle XYZ, A is the midpoint of XY, B is the midpoint for YZ, and C is the midpoint of XZ. Also,
azamat

Answer:

Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm

Step-by-step explanation:

In  triangle Δ XYZ ,

A is the mid point of XY

B is the midpoint of YZ

C is the mid point of XZ

AY = 7

BZ =8

XZ = 18

The mid - point theorem states that,

The segment formed by connecting two mid - points of a triangle is parallel to the third side and half as long

AY = 7 then BC = 7 cm

BZ = 8 then AC = 8 cm

XY = 18 then AB = 9 cm

Perimeter of Δ ABC = 7 + 8 + 9 = 24 cm

8 0
3 years ago
Write using algebra.<br><br> Jimmy ran m miles in t minutes. What was his speed?
Ilya [14]
Speed = m x t. as the equation
6 0
3 years ago
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

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Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

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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
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