If the length of one leg of a right triangle is 3 and the hypotenuse is √34, what is the length of the other leg?
1 answer:
To answer this question you must use Pythagorean theorem
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = 3
b = unknown
c = √34
^^^Plug these numbers into the theorem
Simplify
9 + b² = 34
solve for b
= 25
Take the square root of both sides to cancel out the square from the b
√b² = √25
b = 5
Hope this helped!
~Just a girl in love with Shawn Mendes
You might be interested in
Answer:
The 80% confidence interval for the mean waste recycled per person per day for the population of New York is between 1.6 pounds and 4.2 pounds
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 11 - 1 = 10
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 10 degrees of freedom(y-axis) and a confidence level of . So we have T = 1.372
The margin of error is:
M = T*s = 1.372*0.98 = 1.3
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 2.9 - 1.3 = 1.6 pounds
The upper end of the interval is the sample mean added to M. So it is 2.9 + 1.3 = 4.2 pounds
The 80% confidence interval for the mean waste recycled per person per day for the population of New York is between 1.6 pounds and 4.2 pounds