Let the length of the first piece be x inches. Then:-
x + 2x + 4x + 3 = 38
7x = 38 - 3
x = 35/7 = 5 inches
Answer: the 3 pieces have lengths 5, 10 and 23 inches.
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: x = 157
Step-by-step explanation:

Switch sides:

Divide both sides by 6:

Simplify:



True because, when buying a bond, you are pretty much lending money to the company.
(2n - 9) - 5(-2.4n + 4) =
The first set of parentheses is unnecessary, so we just drop them.
= 2n - 9 - 5(-2.4n + 4)
Now we distribute -5 by the second set of parentheses. Each term in the parentehses is multiplied by -5.
= 2n - 9 + 12n - 20
Now we combine like terms.
= 2n + 12n - 9 - 20
= 14n - 29