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
The expression (3x - 2)/(x + 4) = 0 has a value of x is 3/2. Amd the expression 2/(x + 4) = 0 has a value of x is ∞.
<h3>What is simplification?</h3>
Simplification is to make something easier to do or understand and to make something less complicated.
The expression is given below.
(3x - 2)/(x + 4) = 0
Then on simplifying, we have
3x - 2 = 0
3x = 2
x = 3/2
And
2/(x - 3) = 0
2 ≠ 0
More about the simplification link is given below.
brainly.com/question/12616840
#SPJ1
The answer would be 16 because 40 divided by 5 is 8 and 8 times 2 is sixteen so it would be 16
Point Y is (6, -1)
Subtract 6 from the y coordinate in point y since it is translated down. keep the x coordinate since it is only being translated up and down, or by the y axis
that would be 48/9 because it would be kittens(48) to puppies(9) then simplified to 16/3.