When a triangle is a 45-45-90 triangle, the following rules apply:
-the 2 legs are equal lengths
- the length of the hypotenuse is: the square root of 2 x the length of a leg.
- the length of the leg is: hypotenuse divided by the square root of 2.
if the hypotenuse is 10, then 10 divided by the square root of 2 is how you find the leg.
the square root of 2 is <span>1.41421356237.
10 divided by </span>1.41421356237 is <span>7.07106781188, which can be rounded to about 7.1. The length of one leg is about 7.1 units!</span>
Most secured loans are not <u>high-interest</u><u> </u>loans and they are usually backed by collateral.
<h3>What are secured loans?</h3>
Secured loans demand the borrower to dedicate an asset or security as an assurance or collateral for the loan in order to get it.
For example:
- A mortgage on a house or
- An auto loan.
Secured loans are often long-term loans; e.g, the average period of a house loan is 30 years, whereas vehicle loans run 4-5 years.
These kinds of loans are often repaid in monthly installments and have low-interest rates.
Learn more about secured loans here:
brainly.com/question/14997152
<span>-7x + 2y = 0
6x + 6y = 0
</span><span>ordered pair: (−2,2)
the way to figure out if that ordered pair is a solution is pretty simple, you just plug the ordered pair into both equations, and check if the outcome is true.
</span>-7(-2) + 2(2) = 0
14 + 4 = 0
18 = 0 is NOT true, so this isn't a solution. still, check your second equation as well.
6x + 6y = 0
6(-2) + 6(2) = 0
-12 + 12 = 0
for this equation, it is a solution. however, because the solution must apply to the system as a whole, and not just one of the equations, the ordered pair still is not a solution.
Using the z-distribution, it is found that the 95% confidence interval for the true proportion of adults who said that they will travel more this year is (0.347, 0.433).
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which z is the z-score that has a p-value of
.
195 out of 500 people said they would take more vacations this year than last year, hence:

95% confidence level, hence
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the true proportion of adults who said that they will travel more this year is (0.347, 0.433).
A similar problem is given at brainly.com/question/15850972