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2 years ago

A typical large orb spider has a mass of 0.50

1 answer:

3 0

The tensile strength of spider silk is about 1150 MPa, which is 1.15 x 10^9 N/m².

So given that the diameter of the spider silk is 0.15 mm or 1.5 x 10^-4 m. The cross sectional area is approximately: 

A = πr² = (3.14)(1.5 x 10^-4 / 2)² = 1.767 x 10^-8 m² 

So this means that the amount of force we can apply before the the silk thread is broken is: 

F = PA = (1.15 x 10^9)(1.767 x 10^-8) = 20.32 N 

F = mg, so m = F/g = (20.32)/(9.81) = 2.07 kg!!!

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Your favorite restaurant offers a total of 13 desserts, of which 11 have ice cream as a main ingredient and 9 have fruit as a main ingredient. Assuming that all of them have either...

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3 years ago

Select the correct answer. Which function is the inverse of ?

Artyom0805 [142]

Answer:

B. $f^{-1}(x) = \frac{x + 3}{9}$

Step-by-step explanation:

$let \space\ y = f(x)\\\\y = 9x -3\\$

• Now make x the subject of the equation:

$9x = y + 3\\\\x = \frac{y + 3}{9} \\$

• Replace x with f⁻¹(x) and y with x:

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1 year ago

Read 2 more answers

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2 years ago

Solve for the indicated variable.

marta [7]

Answer:

Option (c) " $r=\dfrac{q}{4c}-h$ "

Step-by-step explanation:

The given equation is :

q = c4(h + r)

We need to solve it for r.

Dividing both sides of the given equation by 4c.

$\dfrac{q}{4c}=\dfrac{4c}{4c}(h+r)\\\\(h+r)=\dfrac{q}{4c}$

Now, subtract h both sides of the equation.

$h+r-h=\dfrac{q}{4c}-h\\\\r=\dfrac{q}{4c}-h$

Hence, this is the required solution.

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2 years ago

Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$

OlgaM077 [116]

hmmm let's find the distance between B and C first off.

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5$

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

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1 year ago