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tatyana61 [14]
2 years ago
12

A rectangle is a parallelogram. What is true of the diagonals of a rectangle

Mathematics
1 answer:
maw [93]2 years ago
3 0

Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths

Step-by-step explanation:

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6, because 3/4=6/8 so 6 kids ate it if each has 1/8
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3 years ago
The combined area of two squares is 17 square meters. the size of the larger Square are four times as long as the size of the sm
7nadin3 [17]

we are given that ,

The combined area of two squares is 17 square meters.

Area of square=(side)^2

Let the side length of smaller square be x

The size of the larger Square are four times as long as the size of the smaller square

Area \ of  \ smaller \ square \ =x^2

So Area of larger square=4x^2

The combined Area is 17 square meter.

x^2+4x^2=17\\\\5x^2=17\\\\x=\sqrt{\frac{17}{5}}

Hence the smaller square has the side length=\sqrt{\frac{17}{5}}

So the larger square has side length=2\sqrt{\frac{17}{5}}

5 0
3 years ago
Explain the role of the GCF in factoring a polynomial.
Ahat [919]
1. GCF is a factor that is shared by all terms within a polynomial for example, if we have a polynomial of the form A*B + A*C, the GCF is A since both terms have A as a factor 2. after we factor out the GCF, it is placed outside the parentheses, in front of the rest of the polynomial. using our previous example, A*B+A*C = A(B+C) 3. we can verify that our factoring is correct by distributing the GCF to the polynomial within the parentheses
5 0
3 years ago
Se quiere construir un muro de 4 m de alto, 12 m de largo y 10 cm de espesor. ¿Cuántos ladrillos de 8 cm de alto, 20 cm de largo
Llana [10]

Answer:

3000

Step-by-step explanation:

Let's start by finding the volume of the wall. The volumen of the wall can be considered as the volume of a rectangular prism. The volume of a rectangular prism is given by:

V_w=w*l*h\\\\Where:\\\\w=Width=10cm=0.1m\\l=Length=12m\\h=Height=4m

So the volume of the wall is:

V_w=0.1*12*4=4.8m^3

Now, we can find the volume of the brick using the same method since a brick can be considered as a rectangular prism as well:

V_b=w*l*h\\\\For\hspace{3}the\hspace{3}brick\\\\w=10cm=0.1m\\l=20cm=0.2m\\h=8cm=0.08m

Hence:

V_b=(0.1)*(0.2)*(0.08)=0.0016m^3

In order to know how many bricks are required to build the wall, we just need to fill the wall volume with the number of bricks of this volume. So:

V_w=nV_b\\\\Where\\\\n=Number\hspace{3}of\hspace{3}bricks

Solving for n:

n=\frac{V_w}{V_b} =\frac{4.8}{0.0016} =3000

Therefore, we need 3000 bricks to build that wall.

Translation:

Comencemos por encontrar el volumen del muro. El volumen del muro puede considerarse como el volumen de un prisma rectangular. El volumen de un prisma rectangular viene dado por:

V_w=w*l*h\\\\Donde:\\\\w=Espesor=10cm=0.1m\\l=Largo=12m\\h=Alto=4m

Entonces el volumen del muro es:

V_w=0.1*12*4=4.8m^3

Ahora, podemos encontrar el volumen del ladrillo utilizando el mismo método, ya que un ladrillo también puede considerarse como un prisma rectangular:

V_b=w*l*h\\\\Para\hspace{3}el\hspace{3}ladrillo\\\\w=10cm=0.1m\\l=20cm=0.2m\\h=8cm=0.08m

Por lo tanto:

V_b=(0.1)*(0.2)*(0.08)=0.0016m^3

Para saber cuántos ladrillos se requieren para construir el muro, solo necesitamos llenar el volumen del muro con la cantidad de ladrillos de este volumen. Entonces:

V_w=nV_b\\\\Donde\\\\n=Numero\hspace{3}de\hspace{3}ladrillos

Resolviendo para n:

n=\frac{V_w}{V_b} =\frac{4.8}{0.0016} =3000

Por lo tanto, necesitamos 3000 ladrillos para construir ese muro.

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3 years ago
A store bought a leather couch at a cost of $500 and marked it up 140%. Bruce bought it and
Pepsi [2]

Answer:

$1,296

Step-by-step explanation:

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