Answer:
AC=27
AB=9√3
AD=27
BD=18√3
Step-by-step explanation:
Following your request on my answer, I have looked into your account to answer this question as well.
We can find side AB by using the sine property of Pythagorean theorem
sin(30°)=AB/18√3
AB=18√3sin30° but sin(30)=½
Therefore AB=18√3×½=9√3
Using Triangle ABC, Pythagorean theorem helps us find AC
(18√3)²=(9√3)²+AC²
972=243+AC²
972-243=AC²
729=AC² (find the square root of both sides)
√729=AC
AC=27
To find AD,
tan(30°)=AB/AD but AB=9√3
tan30=9√3/AD and tan30=√3/3
√3/3=9√3/AD simplify
AD=27
Finally,
BD=√(9√3)²+(27)²
BD=√243+729
BD=√972=18√3
Answer:
-54 degrees F
Step-by-step explanation:
The coldest temperature ever recorded east of the Mississippi is fifty-four degrees below zero in Danbury, Wisconsin, on January 24, 1922.
The temperature is below zero so it is negative,
-54 degrees F
