A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.
We can use the Pythagorean formula to find the other leg of the right triangle.
a²+b²=c²
Where a and b are the legs of the triangle and c is the hypotenuse.
According to the given problem,
one leg: a= 5m and hypotenuse: c=13√5 m.
So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,
5²+b²=(13√5)²
25 + b² = 13²*(√5)²
25 + b² = 169* 5
25+ b² = 845
25 + b² - 25 = 845 - 25
b² = 820
b =√ 820
b = √(4*205)
b = √4 *√205
b = 2√205
b= 2* 14.32
b = 28.64
So, b= 28.6 (Rounded to one decimal place)
Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).
Answer:
below
Step-by-step explanation:
impeachment: charging an official with a crime
cabinet: a group of advisors to the president
vested: guaranteed as a legal right
pardon: a release from punishment
Answer:
the test I will perform is d. Two-sided t-test
Step-by-step explanation:
When we are to compare between different data, critical regions occur on both sides of the mean of a normal distribution,they are as a result of two-tailed or two-sided tests.
In such tests, consideration has to be given to values on both sides of the mean.
for this question, it is expected to compare weather it is true that first born have different intelligent or not, weather to accept a null hypothesis or reject.
For example, if it is required to show that the percentage of metal, p, in a
particular alloy is x%, then a two-tailed test is used, since the null hypothesis is incorrect if the percentage of metal is either less than x or more than x.
