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larisa [96]
4 years ago
10

Choose the group of one-inch cubes that forms a rectangular prism that has the given dimensions. Then find the surface area of t

he prism.
2×3×2

Mathematics
1 answer:
jeyben [28]4 years ago
6 0

Answer:

Correct group: fourth image

Surface area = 32 in2

Step-by-step explanation:

The dimensions required is 2 x 3 x 2, so in one dimension we need 2 cubes, in a second dimension we need 3 cubes, and in the third dimension we need 3 cubes.

In the first image, we have a 2 x 3 x 3 prism.

In the second image (to the right of the first one), we have a 2 x 4 x 1 prism.

In the third image (below the first one), we have a 3 x 4 x 1 prism.

In the fourth image, we have a 2 x 3 x 2 prism, so this is the correct option.

The surface area os this prism is 2*(2*2) + 2*(2*3) + 2*(2*3) = 8 + 12 + 12 = 32 in2

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8
tia_tia [17]

Answer:

8-6i

Step-by-step explanation:

Multiply out (3-i)^2 in order to find out which expression it is equivalent to.

1) Since the whole quantity is squared, write it out as (3-i)(3-i).

(3-i)^2\\(3-i)(3-i)

2) Multiply binomials by using the FOIL method. Multiply the terms that are listed first in each binomial, then the ones that are listed outermost when looking at both binomials, then innermost, and finally the last terms listed in each binomial. Simplify and combine like terms.

(3-i)(3-i)\\9 - 3i - 3i + i^2

9 - 6i + i^2

3)  i = \sqrt{-1}, so i ^2 must be (\sqrt{-1} )(\sqrt{-1}). Thus, i^2 is equivalent to -1. Knowing this, simplify and combine like terms.

9 - 6i + ((-\sqrt{1} )(\sqrt{-1} ))

9 - 6i -1\\8 - 6i

Thus, it is equivalent to  8 - 6i .

6 0
3 years ago
Please help quick what is the answer thank you
notka56 [123]
Answer: y= -3x + 4
Explanation: As the general equation of line is y= mx + c where m is the slope of the line and c is the y intercept.
=> for m we need to find the slope of line which is y2 - y1/ x2 - x1
=> 7-1/ -1-1 = 6/-2 = -3
and as we can in the diagram the y intercept is 4
that means our equation for the given line is y = -3x + 4.
5 0
2 years ago
Read 2 more answers
If y= -8 when x= -2 whats x when y=32
san4es73 [151]

Answer:

8

Step-by-step explanation:

Y) -8 x -4 = 32

X) -2 x -4 = 8

5 0
3 years ago
Read 2 more answers
Write (5.64)×10^-7 as a decimal​
NARA [144]

Answer:

the awnser is 0.000000564

7 0
3 years ago
Give two examples that show how using parentheses can change the order I. Witch operations are performed in an expression
pantera1 [17]
The order of arithmetic operations is given by the acronym PEMDAS, which means
Parentheses,
Exponents,
Multiplication,
Division,
Addition,
Subtraction.

These two examples illustrate how the use of parentheses can change the order.

Example 1:
5+7/3x4-2/5 has an answer of 13.933.

Use PEMDAS to obtain
5+(7/3)x4-(2/5)
= 5+(2.3333x4)-0.4
= 5+9.3333-0.4
= 14.3333-0.4
= 13.933

If we apply the parentheses: (5+7)/3x4-2/5
The result is
(12/3)x4-(2/5)
= (4x4)-0.4
= 16-0.4
= 15.06
which is a different answer.

Example 2:
8/3²x5+4 has the answer 8.444

Use PEMDAS to obtain
8/(3²)x5+4
= (8/9)x5+4
= (0.8889x5)+4
= 4.4444+4
= 8.4444

If we apply the parentheses (8/3)²x5+4:
The result is
2.6667²x5+4
= 7.1113x5+4
= 35.5565+4
= 39.5565
which is a different answer.

3 0
4 years ago
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