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wariber [46]
3 years ago
12

How to find the area of a rhombus given height and side length?

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
Rhombus area = side length * height
Source:http://www.1728.org/quadrhom.htm


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A ½in diameter rod of 5in length is being considered as part of a mechanical linkagein which it can experience a tensile loading
Evgesh-ka [11]

Answer:

a. Maximum Load = Force = 27085.09 N

b. Maximum Energy = 3.440 Joules

Step-by-step explanation:

Given

Rod diameter = ½in = 0.5in

Length = 5in

Young's modulus = 15.5Msi

By applying the 0.2% offset rule,

The maximum load the rod can hold before it gets to breaking point is given as follows by taking the strain as 0.2%

Young Modulus = Stress/Strain ------- Make Stress the Subject of Formula

Stress = Strain * Young Modulus

Stress = 0.2% * 15.5

Stress = 0.002 * 15.5

Stress = 0.031Msi

Calculating the area of the rod

Area = πr² or πd²/4

Area, A = 22/7 * 0.5^4 / 4

A = 22/7 * 0.25 / 4

A = 5.5/28

A = 0.1964in²

The maximum load that the rod would take before it starts to permanently elongate is given by

Force = Stress * Atea

Force = 0.031Msi * 0.1964in²

Force = 31Ksi * 0.1964in²

Force = 6.089Ksi in²

Force = 6.089 * 1000lbf

Force = 6089 lbf

1 lbf = 4.4482N

So, Force = 6089 * 4.4482N

Force = 27085.09 N

b.

Using Strain to Energy Formula

U = V×σ²/2·E

Where V = Volume

V = Length * Area

V = 5 in * 0.1964in²

V = 0.982in³

σ = Stress = 0.031Msi

= 0.031 * 1000Ksi

= 31Ksi

= 31 * 1000psi

= 31000psi

E = Young Modulus = 15.5Msi

= 15.5 * 1000Ksi

= 15.5 * 1000 * 1000psi

= 15500000psi

So,

Energy = 0.982 * 31000²/ ( 2 * 15500000)

Energy = 943,702,000/31000000

Energy = 30.442in³psi

------- Converted to ftlbf

Energy = 2.537 ftlbf

-------- Converted to Joules

Energy = 3.440 Joules

7 0
3 years ago
5<br>X Х please find the answer<br>20​
Daniel [21]

Answer:

2 or 4

Step-by-step explanation:

Since I do not quite understand what you mean by X X, I could think of two answers. If you are doing 5 times X=20, then X = 4, but if you are trying to do 5 times x times x, then x=2.

3 0
3 years ago
6 + 4/6 show all work
zvonat [6]

To answer, change the 6 into a fraction

6 x 6/6 = 36/6

36/6 + 4/6 = 40/6

Simplify

40/6 = 6 4/6, or 6 2/3 (simplified)

hope this helps

6 0
3 years ago
Read 2 more answers
REALIZAR CADA ELERCICIO POR LOS TRES METIDOS EXPLICADOS EN CLASE
meriva

Hello!

Answer:

1. x= 1 / y= 2 / z= -3 / <u>(1 ; 2 ; -3)</u>

2. x= 3 / y= -5 / z= 8 / <u>(3 ; -5 ; 8)</u>

Step-by-step explanation:

                           

5 0
3 years ago
The ratio of police detectives and private detectives on the island is 6 to 5. If a total of 550 detectives of both kinds live o
vekshin1

Answer:

  300

Step-by-step explanation:

The total number of ratio units in 6:5 is 6+5=11, so each of those ratio units must stand for 550/11 = 50 detectives. Then the 6 ratio units of police detectives stand for 6·50 = 300 police detectives.

7 0
3 years ago
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