contestada

Part A
Which expression can be used for the missing side length of the rectangle?
8x in.
2x in.
? in.
Ο Α. αν 6
O
B. 23
C. 230
o D. 2x715
Part B
Find the length of the missing side when x = 3. Round answer to the nearest tenth.
Length =
in

Respuesta :

Answer:

Part 1: D

Part 2:  23.2.

Step-by-step explanation:

[tex]a^{2} \\[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

[tex]a^{2}[/tex]+(2[tex]x^{2}[/tex])=(8[tex]x^{2}[/tex])

[tex]a^{2}[/tex]=64[tex]x^{2}[/tex]-4[tex]x^{2}[/tex]

[tex]a^{2}[/tex]=60[tex]x^{2}[/tex]

[tex]a^{2}[/tex]=[tex]\sqrt{60x^{2} }[/tex]

[tex]\sqrt{4\\}[/tex]*[tex]\sqrt{15}[/tex]*[tex]\sqrt{x^{2} }[/tex]

2*[tex]\sqrt{15}[/tex]*x

2x[tex]\sqrt{15}[/tex]

2(3)[tex]\sqrt{15}[/tex]

6[tex]\sqrt{15}[/tex] (Plug into a calculator.)

23.2

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