Answer:
P_max = 9.032 KN
Step-by-step explanation:
Given:
- Bar width and each side of bracket w = 70 mm
- Bar thickness and each side of bracket t = 20 mm
- Pin diameter d = 10 mm
- Average allowable bearing stress of (Bar and Bracket) T = 120 MPa
- Average allowable shear stress of pin S = 115 MPa
Find:
The maximum force P that the structure can support.
Solution:
- Bearing Stress in bar:
T = P / A
P = T*A
P = (120) * (0.07*0.02)
P = 168 KN
- Shear stress in pin:
S = P / A
P = S*A
P = (115)*pi*(0.01)^2 / 4
P = 9.032 KN
- Bearing Stress in each bracket:
T = P / 2*A
P = T*A*2
P = 2*(120) * (0.07*0.02)
P = 336 KN
- The maximum force P that this structure can support:
P_max = min (168 , 9.032 , 336)
P_max = 9.032 KN
The linear equation that describes the pattern in the cost of renting a car is given by:
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- For each day, the cost of renting a car increases by 34, hence, the slope is of 34, and the equation is:
When d = 4, c = 161, and this is used to find b.
Hence, the equation is c = 34d + 25, and option D is correct.
You can learn more about linear functions at brainly.com/question/25823744
Setting up the equation
_______________________
1)Add two x and four x together on the left side. On the right, add 10 and 7.
6x+3=17-x
______________________
Solve:
2)Add x to both sides.
7x+3=17
3) Minus 3 from both sides
7x=15
Divide 15 by seven.
x=<span> 2.14285714286
</span>Hope this helped! Have a happy holiday!
She has 45% of the original amount left
<h3>Ratio and proportions</h3>
Fractions are written as a ratio of two integers
Given the following
Initial amount. = ∈4000
Amount given to her sister = 1/4 * 4000 = 1000
Amount given to her brother = 40% of 3000 = 1200
Amount left = 4000 - (1000+1200)
Amount left = ∈1800
Determine the percentage left
x * 4000 = 1800
x = 1800/4000
x = 0.45
x = 45%
Hence she has 45% of the original amount left
Learn more proportion here: brainly.com/question/19994681
#SPJ1
Answer:
1-12x=-20-9x
-12x=-21-9x
-3x=-21
divide both sides by -3
x=-7
Step-by-step explanation:
