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Morgarella [4.7K]
3 years ago
11

Why can a subtraction problem be rewritten as a addition problem without changing the outcome?

Mathematics
1 answer:
Tema [17]3 years ago
8 0
I think it would have to be a problem with a negative number plus and positive number...
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Miguel wants to build a container out of sheet metal that has a volume of about 320 cubic inches . He
ZanzabumX [31]

Answer:

  cylinder, has the least surface area

Step-by-step explanation:

We are to choose the shape that has the least surface area for the approximate volume desired. In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area.

__

We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.

<h3>Rectangular Prism</h3>

The relevant formulas are ...

  V = LWH

  A = 2(LW +H(L +W))

for length L, width W, and height H.

<u>a)</u><u> prism 1</u>

The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are ...

  V = (8 in)(8 in)(5 in) = 320 in³

  A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²

<u>b)</u><u> prism 2</u>

The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...

  V = (10 in)(8 in)(4 in) = 320 in³

  A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 in²

__

<h3>Cylinder</h3>

The relevant formulas are ...

  V = πr²h

  A = 2πr(r +h)

for radius r and height h.

c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...

  V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³

  A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²

__

<h3>Square Pyramid</h3>

The relevant formulas are ...

  V = 1/3s²h

  A = s(s +2H)

for base side dimension s, vertical height h, and slant height H.

d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...

  V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³

  A = (10 in)(10 in + 2×14 in) = 380 in²

__

<h3>Summary</h3>

The proposed figures have volume and area (rounded to the nearest unit) as follows:

  \begin{tabular}{|c|c|c|c|}\cline{1-4}&shape&V (in^3)&A (in^2)\\\cline{1-4}a&rect prism&320&288\\b&rect prism&320&304\\c&cylinder&314&\bf283\\d&pyramid&333&380\\\cline{1-4}\end{tabular}

The proposed <em>cylinder</em> requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered.

_____

<em>Additional comment</em>

For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.

3 0
2 years ago
When calculating a loan’s effective rate, if the interest compounds every two months, what value of n do you plug into your equa
olga2289 [7]

The value of n you plug into your equation will be 6. Then the correct option is C.

<h3>What is compound interest?</h3>

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

When calculating a loan’s effective rate.

If the interest compounds every two months.

Then the value of n you plug into your equation will be

If the interest is compounded every two months, the interest will be applied six times every year.

Because there are 12 months in a year, the value of n that you will plug into your equation is 6, and it will be compounded every two months.

More about the compound interest link is given below.

brainly.com/question/25857212

8 0
2 years ago
Read 2 more answers
The annual expenditure of the US federal government is approximately 4 44 trillion dollars. If a one dollar bill is 0 . 0 0 0 1
kaheart [24]

Answer:

<em>A stack of 4 trillion one dollar bills will be  4\times 10^8 meters.</em>

Step-by-step explanation:

The annual expenditure of the US federal government is approximately 4 trillion dollars.

We know,  1 trillion dollars = 10¹² dollars.

So,  4 trillion dollars =(4\times 10^1^2) dollars.

Each one dollar bill is 0.0001 meters thick.

So, the total height of the stack of 4 trillion one dollar bills will be.....

[0.0001\times(4\times 10^1^2)]meters\\ \\ =[10^-^4\times(4\times 10^1^2)]meters\\ \\ =(4\times 10^8) meters


6 0
3 years ago
Mathew goes to the movies over the weekend
Rufina [12.5K]

Answer:

23.125$

Step-by-step explanation:

you have to divide the total amount of money by the total amount of people 92.50$/4=23.125$

3 0
3 years ago
Read 2 more answers
Write a compound inequality to resperent all of the numbers between -4 and 6​
Neporo4naja [7]

Answer:

stuff

Step-by-step explanation:

i do not know

6 0
3 years ago
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