I don’t know how to do these

The results of a test of a metal are shown in the table, with strain in meters per meter, andstress in units called megapascals,

shusha [124]

a.

b.

The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.

c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

$m=\frac{100}{0.01}=10000$

Now, calculating the coefficient b (y-intercept), we have:

$\begin{gathered} (0.01,100)\colon \\ 100=0.01\cdot10000+b \\ 100=100+b \\ b=0 \end{gathered}$

So the equation is:

$y=10000x$

d.

The maximum value of stress is 560, and occurs at strain = 0.07.

8 0

1 year ago

This is a 30-60-90 triangle. a What is the measure of x? Х 43 X= = [ ?

kherson [118]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in two steps; solving and theory.

I'll go and start off with the theory part!

Theory

We know that in geometry there are many types of triangles that have various different angles. With that, there are a few special triangles that people have made formulas for, one being a 30, 60, and 90 degree triangle.

The theorem states that the hypotenuse is $2x$ , the side opposite to 60 degrees is $x\sqrt{3}$ , and the bottom is $x$ .

Solving

We can solve this problem in a step, we just need to know what the theorem said and implement it here, since we know the values of the sides of the triangle, we can solve it by finding out the opposite side and applying the theorem rules.

If we look at the graph, we can see that the $x$ part of the side opp. of 60 degrees is 4, that means that $x$ would be double of 4, which is 8.

Therefore your answer would be: $x=8$