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I need the last two

I need the last two-example-1
User Koukouviou
by
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1 Answer

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Answer:

Part 5) Option b
2x√(3)\ ft

Part 6) Option d.
4y\sqrt[3]{2}\ mm

Explanation:

Part 5) we know that

The area of a square is equal to


A=b^2

where

b is the length side of the square

we have


A=12x^2\ ft^2

substitute


12x^2=b^2

Solve for b

take square root both sides


b=\sqrt{12x^(2)}

Remember that


12=(2^2)(3)

substitute


b=\sqrt{(2^2)(3)x^(2)}

Applying property of exponents


b=\sqrt{(2^2)(3)x^(2)}=[(2^2)(3)x^(2)]^{(1)/(2)}=[2^2x^2]^{(1)/(2)}3^{(1)/(2)}=2x√(3)\ ft

Part 6) we know that

The volume of a cube is equal to


V=b^3

where

b is the length side of the cube

we have


V=128y^3\ mm^3

substitute


128y^3=b^3

Solve for b

take cubic root both sides


b=\sqrt[3]{128y^3}

Remember that


128=(2^7)=(2^6)(2)=(2^2)^3(2)

substitute


b=\sqrt[3]{(2^2)^3(2)y^3}

Applying property of exponents


b=\sqrt[3]{(2^2)^3(2)y^3}=[(2^2)^3(2)y^3]^{(1)/(3)}=[(2^2)^3y^3]^{(1)/(3)}2^{(1)/(3)}=2^2y\sqrt[3]{2}=4y\sqrt[3]{2}\ mm

User Uwe Mesecke
by
7.3k points