If the width and height of a rectangular prism are each shrunk to one seventh of the original size but the length remains the same, what is the formula to find the modified surface area?

Answers

Answer 1

Answer: Hey there,

Let's say 'L'=length, 'W'=width, and 'H'=height.

The surface area of a rectangular prism is

   A = (2LW) + (2WH) + (2LH) = 2 (LW + WH + LH)

If you shrink the width and height, then the new width is W/7
and the new height is H/7.

The new surface area is

   A = (2 L W/7) + (2 W/7 H/7) + (2 L H/7) .

That's    A = 2 (LW/7 + WH/49 + LH/7) .

or you could write it as   A = 2/7 (LW + WH/7 + LH)

There are many more ways to massage the formula and write it
in different ways, but I think writing it just that way is OK.

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What is 1e+24 in a while number

Answers

1e + 24 would be approximately 26.72, but if you wanted a whole number, you would round it even farther to 27

It would be:

26.71828183 to 10 significant figures

26.7 to 3SF

Prime factorization of 147

Answers

3, 7^2 the two is supposed to be an exponent.

Answer B: 3 x 7 x7 or 3 x 7^7

What is the domain of the function shown in the graph 1) all real numbers
2)all real numbers less than 0
3)all real number greater than 0
4)all real numbers including 2 and 6

Answers

Answer:

The answer to your question is number 1) all real numbers.

Step-by-step explanation:

The Domain is all the set of numbers the x-axis could have.

In the graph, we notice a line that goes from zero to six, we could think that the domain is that interval but as the line has arrows, we can think that the line grows up in both senses, then the domain must be all real numbers.

Solve the following system of equations by graphing and select the correct answer below:2x + 6y = 20
3x _ 2y = 8

Answers:
x = 4, y = 2
x = 4, y = _2
x = _2, y = 4
x = 2, y = 4

Answers

the only answer is x = 4, y = 2,
2(4) + 6(2) = 20
3(4) _ 2(2) = 8
the graph is so easy, please try!!

Answer:

Option A is correct.

x =4 , y = 2

Explanation:

Given the system of equation:

$2x+6y = 20$ ......[1]

$3x-2y = 8$ .....[2]

Multiply equation [2] by 3 both sides we get;

$3 \cdot (3x-2y) = 3 \cdot 8$

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

$9x - 6y = 24$ .....[3]

Add equation [1] and [3], to get eliminate y we get;

$2x+6y+9x-6y= 20+24$

Combine like terms we have;

$11x = 44$

Divide both sides by 11 we get;

$x = 4$

Substitute the value of x =4 in [1] we get;

2(4) + 6y = 20

8 + 6y = 20

Subtract 8 from both sides we have;

6y = 12

Divide both sides by 6 we have;

y = 2

Therefore, the values of x and y are; 4 and 2.

delsie's class collected 213 food items to donate. Usman's class collected 9 bags of donations that each have 7 food items in them how many food items did the 2 classes collect in total