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klio [65]
3 years ago
8

How do i solve this?

Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:

Step-by-step explanation:

You can use Pythagoras Theorem,

8^{2} + y^{2}  = (8\sqrt{6} )^{2} \\      y^{2}        = (8\sqrt{6} )^{2} - 8^{2} \\y^{2} = 384 - 64\\y^{2} = 320\\y  = \sqrt{320}

∴ y = 8\sqrt{5}

Hope that helps!!

Please mark as Brainliest!!

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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
12. If 3x + 4y = -1 and x - 2y = 3, then y=
Hatshy [7]

y=3 and x= 5

Step-by-step explanation:

  • 3×+×=-1 and 4y-2y=3
  • 4×=1 and 2y=3
  • ×=4-1 and y=3+2
  • x=3 and y=5
6 0
3 years ago
Which is the graph of x Greater-than-or-equal-to 98.6? A number line going from 95 to 103. A closed circle is at 98.6. Everythin
Afina-wow [57]

Answer:

The correct option is;

A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.

Step-by-step explanation:

To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to

The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle

Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.

4 0
3 years ago
Answer please please​
sveta [45]

Answer:

What is the question?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
On the Algebra test the number of students who got a grade A was three more than twice the number of students who got lower grad
svlad2 [7]
X= # students who got lower grades
2x+3= # students with grade A

STEP 1:
Add the two sets above equal to 24.

x + (2x + 3)= 24
combine like terms

3x + 3= 24
subtract 3 from both sides

3x= 21
divide both sides by 3

x= 7 (# students lower than A)


STEP 2:
substitute x value from step 1 to find # grade A students

=2x + 3
=2(7) + 3
=14 + 3
=17 (# grade A students)


CHECK:
x + (2x + 3)= 24
7 + 2(7) + 3= 24
7 + 14 + 3= 24
24= 24


ANSWER: There were 17 students with grade A.

Hope this helps! :)
4 0
3 years ago
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