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kondor19780726 [428]
3 years ago
6

Simplify :(

Mathematics
1 answer:
evablogger [386]3 years ago
4 0
<h3>Answer:</h3>

8

<h2><u>STEPS:</u></h2>

=57 times 4/57 times 2

=57/1 times 4/57 times 2

=4/2 times 2 (cancel common factor:57)

=4/1 times 2 (convert element to fraction 2= 2/1)

=4/1 times 2/1

Multiply the numbers (4 times 2)

=8/1 times 1 (Multiply the numbers 1 times 1)

Apply the fraction rule: a/1 =9

=8

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Mice21 [21]
I would have to see the shape to see this but I could say the volume if you'd want. 5*6*7= 210. And don't forget; you can find the surface area by doing b x h if it's a rectangle. And if it's a triangle do b x h / 2
5 0
4 years ago
The rectangle below has an area of x^2-144 square meters and a length of x+12 meters. What expression represents the width of th
Elanso [62]
Since length*width=area, (x+12)*width=x²-144. Dividing (x+12) from both sides, we get (x²-144)/(x+12)=width. One formula we can use is that
(a²-b²)=(a-b)*(a+b). Since 144=12², that means that x²-144=(x-12)*(x+12). Plugging that in, we get (x-12)*(x+12)/(x+12)=(x-12)=width
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3 years ago
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6 0
3 years ago
A spherical pressure vessel is required to contain 1.5 m3 of compressed natural gas at 22 MPa . If the tank is made of A516 grad
kifflom [539]

Answer:

The required thickness of the tank wall is 87.7668 mm.

Step-by-step explanation:

Given :

Volume of vessel is V=1.5 m³.

A spherical pressure vessel is of compressed natural gas at P=22 MPa.

If the tank is made of A516 grade 60 steel with a maximum normal stress 150 MPa.

i.e. \sigma_{max}=150\ Mpa

To find : What is the required thickness of the tank wall?

Solution :

The diameter of the vessel is given by,

\frac{d}{2}=\sqrt{\frac{3V}{4\pi} }

\frac{d}{2}=\sqrt{\frac{3\times 1.5}{4\times 3.14}}

\frac{d}{2}=\sqrt{\frac{4.5}{12.56}}

\frac{d}{2}=\sqrt{0.358}

\frac{d}{2}=0.598

d=1.196\ m

Convert into mm,

d=1.196\times 1000=1196.82\ mm

The thickness of the wall tank is given by,

t=\frac{Pd}{2\sigma}

t=\frac{22\times 1196.82}{2\times 150}

t=\frac{26330.04}{300}

t=87.7668

Therefore, the required thickness of the tank wall is 87.7668 mm.

4 0
4 years ago
The first side of a triangle is cm long. The second side is twice as long as the first.
KonstantinChe [14]

Answer:

First side is 19, second side is 38 and third side, the longest is 43.

Step-by-step explanation:

Let's call the first side a.  

The second side, being twice as long as the first, is 2a.

The third side is 2a+5.

The equation is:

a+2a+2a+5=100, since 1 metre is 100 centimetre.

5a+5=100

5a=95

a=19

First side is 19, second side is 38 and third side, the longest is 43.

7 0
3 years ago
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