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Andreas93 [3]
3 years ago
11

A cube has a surface area of 24 ft squared .What is the length of on edge of the cube?

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Surface area= 24 ft^2

A cube has 6 faces, so the surface area of 1 face would be 24/6, which is 4 ft^2.

The formula for the area of a square is l x w, but in a square both are equal so you're essentially squaring one side.

Therefore, the area of a square ( 4 ft^2 ) can be square-rooted in order to find the length of an edge.

\sqrt{4} = 2

Therefore, the length of 1 edge of the cube is 2 ft

(I think)

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Find the positive value of x in the geometric sequence 7x-2,4x+4,3x
Goryan [66]
Hello,


Let's assume k the ratio.


 \left \{ {{3x=k*(4x+4)} \atop {4x+4=k*(7x-2)}} \right. \\\\
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 \left \{ {{x(3-4k)=4k} \atop {x(4-7k)=-2k-4}} \right. \\\\
 \left \{ {{x=\dfrac{4k}{3-4k} \atop {x=\dfrac{-2k-4}{4-7k} \right. \\\\

\dfrac{4k}{3-4k}=\dfrac{-2k-4}{4-7k}\\\\

36k^2-6k-12=0\\
6k^2-k-2=0\\

\boxed{k= \dfrac{2}{3} \ or\ k= -\dfrac{1}{2}}\\\\

x=\dfrac{4*\dfrac{2}{3} }{3-4*\dfrac{2}{3} }=8\\
x=\dfrac{4*\dfrac{-1}{2} }{3-4*\dfrac{-1}{2} }=-\dfrac{2}{5}\\







\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\





5 0
3 years ago
What is the value of y in the solution to the system of equations? 1x + 1y = 1 2x – 3y = -30​
nydimaria [60]

Answer:

y=8

Step-by-step explanation:

\frac{1}{3} x + \frac{1}{4}y= 1\\\\\frac{4x+3y}{12} =1\\4x+ 3y =12\\y = \frac{12-4x}{3}

let's note this as our equation no. (i)

and let 2x-3y = -30 be the equation no. (ii)

Put value of y from (i) into (ii)

2x -3y = -30\\2x-3(\frac{12-4x}{3} )=-30\\2x -12+4x = -30\\6x = -30+12\\6x= -18\\x = -3

Now put x = -3 back in equation (i)

y = \frac{12-4x}{3}\\y = \frac{12 - 4(-3)}{3}\\y = \frac{12 + 12}{3}   \\y = 8

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3 years ago
Help me plz I am stuck on this
Temka [501]

Answer:

30 I think

Step-by-step explanation:

5 0
3 years ago
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