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kap26 [50]
3 years ago
10

Justin built a display stand out of two rectangular prisms. The smaller rectangular prism is 2 inches tall, 4 inches wide, and 6

inches long. The larger rectangular prism is 5 inches tall, 8 inches wide, and 10 inches long. He painted the entire outside of each prism before he put the prisms together. What was the total surface area, in square inches, that Justin painted on both rectangular prisms? (DO NOT include the unit in your answer!)
Mathematics
1 answer:
lys-0071 [83]3 years ago
8 0

Answer:

416

Step-by-step explanation:

We simply must find the surface area of each prism and then add them together. To the find the surface area of a rectangular prism, we must find the area of each of the sides and then add them all together.

So for the first prism, the area of each of the sides are:

2*(2*4)=16 (this is because are two sides with the measurements 2*4)

2*(2*6)=12

2*(4*6)=48

total: 76

For the second prism:

2*(5*8)=80

2*(5*10)=100

2*(8*10)=160

total: 340

Now that we have the surface area of each of the prisms, we must add them together. Therefore, 340+76=416. The answer is 416.

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$15 - 60% = $6.00

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3 years ago
for a scale drawing of a bathroom, 1/4 inch represents the actual length of 1 ft., if the bathroom measures 1 1/2 inches by 2 in
mrs_skeptik [129]

Answer:

6ft by 8ft

Step-by-step explanation:

1/4 inch = 1 ft

1 1/2 inches has six 1/4 inches

6 times 1 = 6ft

2 inches has eight 1/4 inches

8 times 1 - 8 ft

so its 6ft by 8ft

4 0
3 years ago
Halla la tasa de variación de cada funcion en el intervalo [-4,3] e indica si es positiva , negativa o nula A) f(x)=x2-2x+4 B) f
masya89 [10]

Answer:

A) \hspace{3}Rate\hspace{3}of\hspace{3}change=-5\hspace{3}Negative\\\\B)\hspace{3}Rate\hspace{3}of\hspace{3}change=-21\hspace{3}Negative  

Step-by-step explanation:

Given a function f(x), we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value "x_1" to another "x_2".

The rate of change of f(x) between x_1 and x_2 can be calculated as follows:

Rate\hspace{3}of\hspace{3}change=f(x_2)-f(x_1)

For:

f(x)=x^2-2x+4

Let's find f(x_1) and f(x_2), where:

[x_1,x_2]=[-4,3]

f(x_1)=f(-4)=(-4)^2-2(4)+4=16-8+4=12\\f(x_2)=f(3)=(3)^2-2(3)+4=9-6+4=7

So:

Rate\hspace{3}of\hspace{3}change =7-12=-5\hspace{3}Negative

And for:

f(x)-3x+2

Let's find f(x_1) and f(x_2), where:

[x_1,x_2]=[-4,3]

f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7

So:

Rate\hspace{3}of\hspace{3}change =-7-14=-21\hspace{3}Negative

<em>Translation:</em>

Dada una función f(x), llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor "x_1" a otro "x_2".

La tasa de variación de f(x) entre x_1 y x_2, puede ser calculada de la siguiente forma:

Tasa\hspace{3}de\hspace{3}variacion=f(x_2)-f(x_1)

Para:

f(x)=x^2-2x+4

Encontremos f(x_1) y f(x_2), donde:

[x_1,x_2]=[-4,3]

f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7

Entonces:

Tasa\hspace{3}de\hspace{3}variacion =7-12=-5\hspace{3}Negativa

Y para:

f(x)-3x+2

Encontremos f(x_1) y f(x_2), donde:

[x_1,x_2]=[-4,3]

f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7

Entonces:

Tasa\hspace{3}de\hspace{3}variacion=-7-14=-21\hspace{3}Negativa

8 0
3 years ago
There are 9 students in a class. The teacher chooses 2 students to go to the
Ahat [919]

Answer: 72

<u>Step-by-step explanation:</u>

There are 9 students to choose from to go the library. After that person is chosen there are 8 students remaining.

First student  and   Second student

           9           x               8                 = 72

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