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schepotkina [342]
3 years ago
10

"Can anyone help me?

elppp \: me" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

i cant read it clearly


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A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?
DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals 2.20\times 10^{8}\,Pa. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (\sigma), measured in pascals, in the wire with circular cross-section is:

\sigma = \frac{4\cdot F}{\pi\cdot D^{2}} (1)

Where:

F - Axial force, measured in newtons.

D - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that F = 800\,N and D = 0.002\,m, then the axial stress experimented by the titanium wire is:

\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}

\sigma \approx 2.546\times 10^{8}\,Pa

Since stress is greater than ultimate strength, the wire will break.

3 0
3 years ago
What is the volume of this rectangular prism?
Anton [14]

Answer:

15.625

Step-by-step explanation:

V=wxhxl=2.5x2.5x2.5=15.625

7 0
3 years ago
If you place a 24-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bot
Naddika [18.5K]

Answer:

9.6

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 22² = 24²

Subtract 22² from both sides

a² = 24² - 22²

a² = 576 - 484

a² = 92

Take the square root of both sides

a = 9.591663046625438

Rounded

a = 9.6 ft

8 0
3 years ago
Read 2 more answers
Find the approximate area of the triangle y x> O 30 square units O 15 square units 21 square units 45 square units​
Fiesta28 [93]

Answer:

Step-by-step explanation:

a right triangle is half of a rectangle and the area of a rectangle is

                 area of rectangle = length × width

Area of a triangle is one half times the length times the width

                 area of triangle =  1/2 × length × width

in this case

                length is the number of the y units  

                width is the number of x axis unit      

    area of triangle =  1/2 × length × width  

    area of triangle =  1/2 × (y units) × (x units)       you need to count and insert

                                                                                the number of units into the

                                                                                equation  

area of triangle =  1/2 × (??? y units ) × (??? x units )    do the math yourself

                                                                                       and see if you get one of

                                                                                       answers

6 0
3 years ago
A jar contains 30 red, 30 blue, and 60
kiruha [24]

The probability of picking red button is \frac{1}{4}

<u>Solution:</u>

Given, A jar contains 30 red, 30 blue, and 60 white buttons.  

You pick one button at a random choice,  

We have to find the probability that it is red button.

Now, total number of buttons = 30 + 30 + 60 = 120 buttons.

Number of favourable cases for red button = 30 red buttons.

The probability of an event is given as:

\text { probability of a event }=\frac{\text { favourable ways to pick red }}{\text { total possiblities }}

=\frac{30}{120}=\frac{1}{4}

Thus the probability that it is red is \frac{1}{4}

3 0
3 years ago
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