See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2
Answer:
d ≈ 3.6 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = 
with (x₁, y₁ ) = (6, - 7 ) and (x₂, y₂ ) = (3, - 5 )
d = 
= 
= 
= 
= 
≈ 3.6 ( to the nearest tenth )
Answer:
First, find 20% of the 200 books. Then, subtract that amount by the total and divide that amount by 20 to receive your answer.
Step-by-step explanation:
20 x 200
/100 = 40
Therefore, there are 40 books missing.
200-40 = 160
160/20 = 8 shelves are filled with books.
There are 10 shelves in total: 160 books are on 8 shelves and 40 books are missing for 2 shelves
Answer:
-6x+-5y= -3/2
Step-by-step explanation:
Hope this helps
Answer:
b
Step-by-step explanation: