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sasho [114]
3 years ago
11

melinda is using a rectangular brass bar in a sculpture she is creating. the brass bar has a length that is 4 more than 3 times

its width if the area of the rectangular brass bar is 480 inches what are the dimensions answer
Engineering
2 answers:
omeli [17]3 years ago
8 0

Answer:

The dimension of Length = L

The dimension of width = L

The dimension of Area = L²

Explanation:

A dimension is one of the physical properties that are regarded as fundamental measures of a physical quantity, such as mass, length and time.

L - length , W - width , A- Area

A= W × L (Formula for Area)

Given:

L= 4 + 3W ( length that is 4 more than 3 times its width)

Area = 480 inches

A= W × L

Sub. Given into Formula of Area

480= W (4 + 3W)

480= 4W + 3W²

3W² + 4W - 480= 0

a=3 b=4 c= -480

where W = unknown using the quadratic equation

W= -b ± √ (b² - 4ac) / 2a

W= -4 ± √ (4² - 4.3.-480)/ 2.3

W= -4 ± √ (16 + 5760)/ 6

W= -4 ± √ (5776)/ 6

W = (-4 ± 76)/6

W = (-4 + 76)/6 or (-4-76)/6

W = 72/6 or -80/6

W = 12 or - 13.6

We choose w=12 inches

Sub. W into L

L= 4 + 3W

L= 4 + 3×12

L= 40 inches

Area= W × L

= 40 inches × 12 inches

Area = 480 inches ²

Dimension wise

The dimension of Length = L

The dimension of width = L

The dimension of Area = L²

lawyer [7]3 years ago
6 0

Answer:

180 x 60 inches

Width = 60 inches

Length = 180 inches

Explanation:

Given

Let L = Length

W = Width

P = Perimeter

Length = 3 * Width

L = 3W

Perimeter of Brass = 480 inches

P = 480

Perimeter is given as 2(L + W);

So, 2 (L + W) = 480

L + W = 480/2

L + W = 240

Substitute 3W for L; so,

3W + W = 240

4W = 240

W = 240/4

W = 60 inches

L = 3W

L = 3 * 60

L = 180 inches

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Answer:

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Explanation:

utilizado para la construcción de proyectos electrónicos. Consiste en una placa de circuito programable física y un software, o IDE (Integrated Development Environment) que se ejecuta en su computadora, donde puede escribir y cargar el código de la computadora en la placa física.

4 0
3 years ago
One kilogram of water fills a 150-L rigid container at an initial pressure of 2 MPa. The container is then cooled to 40∘C. Deter
lukranit [14]

The pressure of water is 7.3851 kPa

<u>Explanation:</u>

Given data,

V = 150×10^{-3} m^{3}

m = 1 Kg

P_{1} = 2 MPa

T_{2}  = 40°C

The waters specific volume is calculated:

v_{1} = V/m

Here, the waters specific volume at initial condition is v_{1}, the containers volume is V, waters mass is m.

v_{1} = 150×10^{-3} m^{3}/1

v_{1} = 0.15 m^{3}/ Kg

The temperature from super heated water tables used in interpolation method between the lower and upper limit for the specific volume corresponds 0.15 m^{3}/ Kg and 0.13 m^{3}/ Kg.

T_{1}= 350+(400-350) \frac{0.15-0.13}{0.1522-0.1386}

T_{1} = 395.17°C

Hence, the initial temperature is 395.17°C.

The volume is constant in the rigid container.

v_{2} = v_{1}= 0.15 m^{3}/ Kg

In saturated water labels for T_{2}  = 40°C.

v_{f} = 0.001008 m^{3}/ Kg

v_{g} = 19.515 m^{3}/ Kg

The final state is two phase region v_{f} < v_{2} < v_{g}.

In saturated water labels for T_{2}  = 40°C.

P_{2} = P_{Sat} = 7.3851 kPa

P_{2} = 7.3851 kPa

7 0
3 years ago
For laminar flow over a flat plate, the local heat transfer coefficient hx is known to vary as x−1/2, where x is the distance fr
Reika [66]

Answer:

2

Explanation:

So for solving this problem we need the local heat transfer coefficient at distance x,

h_x=cx^{-1/2}

We integrate between 0 to x for obtain the value of the coefficient, so\bar{h}_x =\frac{1}{x} \int\limit^x_0 h_x dx\\\bar{h}_x = \frac{c}{x} \int\limit^x_0 \frac{1}{\sqrt{x}}dx\\\bar{h}_x = \frac{c}{c} (2x^{1/2})\\\bar{h}_x = 2cx^{-1/2}

Substituing

\bar{h}_x=2h_x\\\frac{\bar{h}_x}{h_X}=2

The ratio of the average convection heat transfer coefficient over the entire length is 2

6 0
4 years ago
For Figure Below, if the elevation of the benchmark A is 25.00 m above MSL:
nlexa [21]

Answer:

For Figure Below, if the elevation of the benchmark A is 25.00 m above MSL:

1. Using the Rise and Fall Method, find the reduced level for all points. (Construct the Table)

2. Using HPC Method, find the reduced level for all points. ( Construct the Table).

3. Show all required Arithmetic checks for your work. For Item 1 and 2.

4. What is the difference in height between points H and D?

5. What is the gradient of the line connecting A and J, knowing that horizontal distance = 200

m.

8 0
3 years ago
Water flows through a converging pipe at a mass flow rate of 25 kg/s. If the inside diameter of the pipes sections are 7.0 cm an
ser-zykov [4K]

Answer:

volumetric flow rate = 0.0251 m^3/s

Velocity in pipe section 1 = 6.513m/s

velocity in pipe section 2 = 12.79 m/s

Explanation:

We can obtain the volume flow rate from the mass flow rate by utilizing the fact that the fluid has the same density when measuring the mass flow rate and the volumetric flow rates.

The density of water is = 997 kg/m³

density = mass/ volume

since we are given the mass, therefore, the  volume will be mass/density

25/997 = 0.0251 m^3/s

volumetric flow rate = 0.0251 m^3/s

Average velocity calculations:

<em>Pipe section A:</em>

cross-sectional area =

\pi \times d^2\\=\pi \times 0.07^2 = 3.85\times10^{-3}m^2

mass flow rate = density X cross-sectional area X velocity

velocity = mass flow rate /(density X cross-sectional area)

velocity = 25/(997 \times 3.85\times10^{-3}) = 6.513m/s

<em>Pipe section B:</em>

cross-sectional area =

\pi \times d^2\\=\pi \times 0.05^2= 1.96\times10^{-3}m^2

mass flow rate = density X cross-sectional area X velocity

velocity = mass flow rate /(density X cross-sectional area)

velocity = 25/(997 \times 1.96\times10^{-3}) = 12.79m/s

7 0
3 years ago
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