Answer:
2 sqrt(3) = n
k = 4 sqrt(3)
Step-by-step explanation:
We know that cos 30 = adjacent/ hypotenuse
cos 30 = 6 /k
Multiply each side by k
k cos 30 = 6k * k
k cos 30 = 6
Divide each side by cos 30
k cos 30/ cos 30 = 6/ cos 30
k = 6 / cos 30
k = 6/ (sqrt(3)/2)
k =12 / sqrt(3)
We cannot leave the sqrt in the denominator
k = 12 / sqrt(3) * sqrt(3)/sqrt(3)
k = 12 sqrt(3)/3
k = 4 sqrt(3)
We know tan 30 = opposite/adjacent
tan 30 = n/6
Multiply each side by 6
6 tan 30 = n
6 * (sqrt(3)/3) = n
6/3 * sqrt(3) = n
2 sqrt(3) = n
1 mile = 1.6 kilometers
Multiply total miles by 1.6
9 miles x 1.6 = 14.4 kilometers
Answer: 14.4 kilometers
You can use photo math to help you,It helps a lot of people with equations. You should go ahead and give it a try
We know that 3.5 is also 3 1/2, and that 3 2/5 and 3 3/8 are both less than 3 1/2.
3.5 must be the greatest.
To convert a fraction to a decimal, divide the numerator by the denominator.
So, 3 2/5 is 3.4, and 3 3/8 is 3.375.
The order is 3 3/8, 3 2/5, and 3.5.