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Mathematics

1 answer:

Aleks [24]4 years ago

5 0

Y = 6
x = 7
It’s the answer

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A 38-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third

KengaRu [80]

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.

4 0

4 years ago

If the given values in a right triangle are cos A =

Vlad1618 [11]

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 is
the hypotenuse is (3√2)/2