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Gennadij [26K]
3 years ago
10

What is the value of n?

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
6 0

Answer: n=6

Step-by-step explanation:

  • The intersecting chords theorem says that when two chords intersect each other inside a circle then the products of their segments are equal.

Therefore from the given figure, by  intersecting chords theorem we have

(n+4)\times7=5\times(n+8)\\\\\Rightarrrow7n+28=5n+40\\\\\Rightarrow7n-5n=40-28\\\\\Rightarrow2n=12\\\\\Rightarrow n=6

Hence, the value of n = 6 units

bogdanovich [222]3 years ago
3 0
Check the picture below

solve for "n"

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The rectangular bar is connected to the support bracket with a 10-mm-diameter pin. The bar width is w = 70 mm and the bar thickn
german

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

3 0
3 years ago
What are the four major categories of securities? How are they evaluated?
Xelga [282]

Answer:

Cash, Bonds, Stocks and Mutual funds

Step-by-step explanation:

The four major categories of securities are:  

  1. Cash
  2. Bonds
  3. Stocks
  4. Mutual funds

These 4  major categories are evaluated as given below:  

  • Cash: Cash is your normal money. You can use it to buy your everyday goods and services or invest in cash in various asset classes.
  • Bonds: Bond is debt instrument and bonds are the agreement of debt. and bonds carry coupon rate that is (interest equivalent), tenure and final capital repayment
  • Stocks: Ownership of stock in a company. A group (or a single) share of any company is called stock. Stock means you have some stake in the company.
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5 0
3 years ago
What is the location of D on the decimal number line
natta225 [31]

Answer:

need more information ?

Step-by-step explanation:

6 0
3 years ago
Please help and thank you​
ziro4ka [17]

Answer:

Step-by-step explanation:

2)  

x + 14 \frac{13}{25}  =  -0.87

x + \frac{363}{25} = - \frac{87}{100}

x + \frac{1452}{100} = - \frac{87}{100}

x  = - \frac{87}{100} - \frac{1452}{100}

x = - \frac{1539}{100}

3)

x -8 \frac{5}{6} = 1.5

x - \frac{53}{6} = \frac{9}{6}

x =  \frac{9}{6} + \frac{53}{6}

x = \frac{62}{6}

x = \frac{31}{3}

4)

x - \frac{7}{12} = - 7 \frac{7}{16}

x - \frac{28}{48} = - \frac{119}{16}

x = - \frac{357}{48} + \frac{28}{48}

x = - \frac{329}{48}

5)

\frac{8}{9} - x = 6 \frac{1}{15}

\frac{8}{9}  = \frac{91}{15} + x

\frac{40}{45} - \frac{273}{45} = x

- \frac{233}{45} = x

x = - \frac{233}{45}

6)

-33.754 - x = 28.05

-33.754  - 28.05 = x

- 61.804 = x

x = - 61.804

7 0
3 years ago
Find the measure of angle ABC. Round to one decimal place.
Lady_Fox [76]
M<ABC= (AD+CE)/2=(100+45)/2=145/2
m<ABC=72° 30'
8 0
3 years ago
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