Answer:
Step-by-step explanation:
this is a 45-45-90 triangle. The angle opposite the 45° angle is also 45°.
HI = HJ because this is an isosceles triangle.
Use the cos function to find the length of HJ:
cos Ф = adj / hyp or adj = (hyp)(cos Ф).
1
Here we have adj = HI = HJ = 4√5 cos 45° = 4√5 · -----
√2, or 4√5 / √2
4√10
This last result simplifies to ----------
2
or 2√10 (answer)
The length of side HJ and that of HI is 2/√10.
Answer:
Step-by-step explanation:12x=5x+14, 7x=14,
x=2
<h3><u>
The value of x is greater than the value of 3.</u></h3>
We can treat inequalities like standard algebraic equations.
7x - 9 > 2x + 6
<em><u>Add 9 to both sides.</u></em>
7x > 2x + 15
<em><u>Subtract 2x from both sides.</u></em>
5x > 15
<em><u>Divide both sides by 5.</u></em>
x > 3
First find which value you would like to round up or down
second if the number is less than five round down, if the number is more than five round up
hope this helps
Answer:
<em>Option c</em>
Step-by-step explanation:
<u>Best Fit Regression Model
</u>
When experimental data is collected, scientists frequently ask themselves if there is a relationship between some of the variables under study. It's crucial in modern times where artificial intelligence technology is trying to find key answers where traditional approaches hadn't before.
One of the most-used tools to find relations between variables is the regression model and its best fit lines to try to find an expression who relates variable x (years from 1960) and variable y (minimum wage requirement) as of our case.
The provided data was entered into a digital spreadsheet and an automatic function was applied to find the best-fit model.
We found this equation:

when rounded to three decimal places, we find

Which corresponds to the option c.