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romanna [79]
2 years ago
12

(solve by substitution or elimination)Maci’s closet is a rectangle with a perimeter of 18 ft. Its length is 5 ft greater than it

s width.
Find the dimensions of her closet.
Mathematics
1 answer:
Greeley [361]2 years ago
8 0

Answer:2x7

Step-by-step explanation:2(x+5)+2x=18. 4x+10=18. x=2. 2x7.

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The height of a tree was 12 feet. after a year, the tree's height increased 25%. what is the height of the tree after a year
g100num [7]
15ft because 12x.25=3 so 3ft is 25% of the 12ft, add the 3+12=15
6 0
2 years ago
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
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da
vivado [14]

A = ( 15 , 15 )

B = ( 6 , 33 )

slope =  \frac{y(b) - y(a)}{x(b) - x(a)} \\

slope =  \frac{33 - 15}{ 6 - 15} \\

slope =  \frac{18}{ - 9} \\

slope =  - 2

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0
3 years ago
Y=x^2+3x-4 y=3x+5<br><br> what does x and y equal
Rom4ik [11]

Answer:

y = x^2+3x-4 y=3x+5

(3, 14)

Step-by-step explanation:

hope this helps and have a nice day!! :)

And also you should try to use Desmos calculator it really helps with these problem/ equations!! you just have to put y = x^2+3x-4 then press enter and on the second one you put  y=3x+5 and then it shows you a graph and plus the answer!! :))

4 0
2 years ago
Graph the following equation on the provided blank x-y graph <br> Y= -2/3x+4
balandron [24]

Answer:

Refer to the picture above.

7 0
2 years ago
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