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romanna [79]
3 years ago
12

Find the surface area of this right rectangular prism. Dimensions are in inches. 3, 2, and 4

Mathematics
1 answer:
vampirchik [111]3 years ago
3 0

Answer:

The area of the rectangular prism is 52 sq. inches

Step-by-step explanation:

Here, the dimensions of the prism are 3 inch, 2 inch and 4 inch

So, length = 4 inch

Breadth = 3 inch

and height = 2 inch

Now, TOTAL SURFACE AREA OF A CUBOID = 2 (LB+ BH+ HL)

=  2 ((4 x 3) + (3 x 2)  + (2 x 4))

= 2 (12 + 6 + 8) = 2 x 26 = 52 sq. inches

Hence, the area of the rectangular prism is 52 sq. inches

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The diagonal length is 16 and the length is 11 what is the width of this rectangle
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Annette [7]

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The initial cost of an office fax machine is $100. After 1 year, its value becomes $80. Which is the correct linear depreciation
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Answer:

y=100-20x

Step-by-step explanation:

Let the x-axis be the time (in years) and the y-axis the value of the fax machine (in dollars).

We know that the initial value of the fax machine is $100; in other words, when the time is zero years, the value is $100, or as an ordered pair (0, 100). We also know that after 1 year the value decreases to $80, so (1, 80).

Now we can find the slope of the line passing through those two points using the slope formula

m=\frac{y_2-y_1}{x_2-x_1}

where

m is the slope

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

Replacing values:

m=\frac{80-100}{1-0}

m=-20

Now, to complete our model we are using the point slope formula

y-y_1=m(x-x_1)

where

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Replacing values:

y-100=-20(x-0)

y-100=-20x

y=-20x+100

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