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cricket20 [7]
3 years ago
12

HElP!! Plzz thanks you

Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

a) 20

b) ab

Step-by-step explanation:

a.\\\\\frac{9}{5}=\frac{36}{x}\\\\x\cdot 9=36\cdot 5\\\\x=\frac{36\cdot5}{9}\\\\x=4\cdot 5\\\\x=20

b.\\\\\frac{a}{6b}=\frac{y}{6b^2}\\\\\frac{6b^2\cdot a}{6b}=y\\\\y=b\cdot a\\\\y=ab

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A cylindrical 2014-t6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tes
Pani-rosa [81]

Complete part of Question:

Assume a factor of safety of 3.0

The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution

Answer:

The maximum allowable load amplitude is 6403.33 N

Step-by-step explanation:

diameter of the bar, d = 12 mm

d = 0.012 m

Cross sectional area of the bar, A = πd²/4

A = π*0.012²/4

A = 0.000113 m²

From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;

At 10⁷ cycles, Maximum stress, S = 170 MPa

S = 170 * 10⁶ Pa

Factor of safety, N = 3.0

The tensile stress is given by the formula:

\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}

The tensile stress is also given by:

\sigma = F/A\\\sigma = F/0.000113

F/0.000113 = 56.67 * 10⁶

F = 56.67 * 10⁶ * 0.000113

F = 6403.33 N

The maximum allowable load amplitude is 6403.33 N

3 0
3 years ago
Read 2 more answers
A funnel is made up of a partial cone and a cylinder as shown in the figure. The maximum amount of liquid that can be in the fun
kakasveta [241]
The funnel which is composed of the partial cone and the cylindrical bottom has a combined volume of <span>16.59375π.

ok, now, if we just get the volume the the cylindrical bottom holds, and subtract it from </span><span>16.59375π, what's leftover is the volume the partial cone holds, so let's do so, keeping in mind the cylindrical part has a diameter of 1.5, and therefore a radius of half that, or 0.75, and a height of 1.5.

</span>\bf \textit{volume of a cylinder}\\\\&#10;V=\pi r^2 h\quad &#10;\begin{cases}&#10;r=radius\\&#10;h=height\\&#10;-----\\&#10;r=0.75\\&#10;h=1.5&#10;\end{cases}\implies V=\pi 0.75^2\cdot 1.5&#10;\\\\\\&#10;V=0.84375\pi \\\\&#10;-------------------------------\\\\&#10;\stackrel{\textit{volume of the funnel in total}}{16.59375\pi }~-~\stackrel{\textit{volume of the cylindrical bottom}}{0.84375\pi }=\stackrel{\stackrel{partial~cone}{volume}}{15.75\pi }<span>
</span>
8 0
3 years ago
Read 2 more answers
Jon’s test grades are 67,75,73 and 69. What does he need to make on his next test to have a 73 average?
melisa1 [442]

Answer:

he must score 69,75,73and69

Step-by-step explanation:

in order to get average 73

8 0
4 years ago
Please help!!! <br> And try to show your work if you can:)
maxonik [38]

Answer:

equation~ 2x + 5= 2X + 8

Value of X~ 0.3

Perimeter:13

Step-by-step explanation:

equation: 2x + 5 =2x +8

 2x + 5= 2x+ 8              

 4x + 5= 8

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x= 0.3

value of X: 0.3

Perimeter: 13

8 0
3 years ago
What is the solution of log2x + 6 8 = 3?
Fantom [35]

Answer:

<h2>x=-3</h2>

Step-by-step explanation:

log(2x + 6) +8 = 3

Solve this log equation for x

First subtract 8 from both sides

log(2x+6)= -5

Now we convert it into exponential form

If log(x) = a then 10^a = x

log(2x+6)= -5 becomes

subtract 6 from both sides

Now we divide by 2 on both sides

x= -3 approximately

5 0
3 years ago
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