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Salsk061 [2.6K]
3 years ago
11

PLEEEAAAASSSEE HEEEELLLLPP ME BRAINLIEST ANSWER PLUS 10 PTS!!!!!!!!

Mathematics
2 answers:
lesya [120]3 years ago
8 0
A. 35x + 1,500 > 3,250
<span>He has already typed 1500.
He needs to type more than 3250 total.

</span>Hope I helped :)
Anna35 [415]3 years ago
7 0
It would be A

If you rearrange A, you get: 35x > 3250 - 1500
35x > 1750 (meaning, he still has another 1750 words left to type to hit his 3250 target)
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How do you do square roots totem pole
Igoryamba
Well the square root of a number is a number times its self equaling the number you're getting the square root of. For example:

<span>√ 25
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To get sqrt of 25 we need to find a number times its self that equals 25. Lets try 8.

8 x 8 = 64

Well thats much too high, We'll try a lower number.

4 x 4 = 16

Just a little higher.

5 x 5 = 25

Since 5 times itself equals 25 that makes it the sqrt.

So, the √ 25 is 5.
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3 years ago
The solution is??? 3m-2/3-2m+1/4=2/12
zloy xaker [14]

3·m - 2/3 - 2·m + 1/4 = 2/12

m - 2/3 + 1/4 = 2/12

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3 years ago
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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.

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