pablo folds a straw into a triangle with side lengths of 4x^2-3 inches, 4x^2-2 inches, and 4x^2-1 inches. The perimeter of the triangle is 12x^@-6 inches. IF x=1.5, what was the length of the straw before it was folded?

Respuesta :

Answer:

21 inches

Step-by-step explanation:

Given that Pablo folds a straw into a triangle

HEnce length of the straw before folding=perimeter of the triangle

SInce sides are

[tex]4x^2-1,4x^2-2 and 4x^2-1\\[/tex]

Perimeter = sum of all sides

=[tex]12x^2-6[/tex]

Substitute for x =1.5

Length of straw = [tex]12(`1.5)^2-6[/tex]

=[tex]12(2.25)-6[/tex]

=[tex]21[/tex]


Answer is 21 inches

Answer:

21 inches

Step-by-step explanation:

We know that a straw is folded into a triangle with side lengths [tex]4x^2-3[/tex] inches, [tex]4x^2-2[/tex] inches and [tex]4x^2-1[/tex] inches and the perimeter of the triangle is [tex]12x^2-6[/tex] inches.

Given x=1.5, we can either substitute this value of x in the side lengths and add them or simply put it in perimeter to find the length of straw.

Length of straw = [tex]12x^2-6[/tex] = 12(1.5)^2-6=[/tex] 21 inches

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