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fiasKO [112]
3 years ago
10

If a cube has a total surface area of 486 square feet, then it is _____ feet on each edge

Mathematics
2 answers:
Dovator [93]3 years ago
7 0
9 feet on the sides hope this helps
Aliun [14]3 years ago
7 0

Answer:

9 feet on each edge

Step-by-step explanation:

Since the Total surface of a cube is calculated by a formula S=6a² (a cube is made up by six squares, and its turn a square has 4 sides the same size.

We have S=6a²

Then:

486=6a^{2} \\ \frac{486}{6}=\frac{6a^{2} }{6} \\81=a^{3} \\ \sqrt{81}=\sqrt{a^{2}} \\a=9

So a cube has 12 edges each one sizes 9 feet

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1 5/6 −(x− 7/12 )+2 1/12 =0.9
iren [92.7K]
The answer is x=3.6 or 3 3/5.

First we convert the decimal answer to a fraction; 0.9 is read as "nine tenths," so the corresponding fraction is 9/10:

1 5/6 - (x - 7/12) + 2 1/12 = 9/10

Now we find a common denominator.  The first thing that 6, 12 and 10 will all divide into is 60:

1 50/60 - (x - 35/60) + 2 5/60 = 54/60

Distributing the negative, we have:
1 50/60 - x + 35/60 + 2 5/60 = 54/60

Combining like terms, we have:
-x + 4 30/60 = 54/60

Subtracting 4 30/60 from each side, we have:
-x + 4 30/60 - 4 30/60 = 54/60 - 4 30/60
-x = -3 36/60

Divide both sides by -1:
-x/-1 = (-3 36/60)/-1
x = 3 36/60 = 3 3/5 = 3.6
5 0
3 years ago
A hat that originally cost 12.50 with a 60% markup find the total cost
cluponka [151]

Answer:

$20.00 dollars will be the new cost.

Step-by-step explanation:

Multiply $12.50 and 60% to get $7.50.

$7.50 plus $12.50 is $20.00.

5 0
2 years ago
Find the unit rate and slope of the graph (ignore what I put down)
Vilka [71]

Answer:

slope: 5/7

0.714 mile per hour

Step-by-step explanation:

slope: find the point where the line is right on the line graph, put y/x which is 10/14 make the fraction smaller which is 10/14 = 5/7(I divide the denominator and nominator by 2)

Mile per hour: 5/7 cross multiply with x/1, make into an equation:

7x=5 x 1

7x = 5

x = 0.714

7 0
2 years ago
Find fog(x) when f(x) = 2x² + x and g(x) = 3x + 2
nekit [7.7K]
For fog or f(g(x)), plug g(x) into f(x):

2(3x+2)²+x

Then simplify:

2( (3x+2)(3x+2) )+x

2( 9x²+12x+4 )+x

18x²+24x+8 +x

18x²+25x+8

Then you can simplify this further using factoring methods to:

(2x+1)(9x+8)

Hope this helps!! :)

6 0
3 years ago
Lateral surface area
ivann1987 [24]
The answer is going to be <span>181.121506177483. hope that helped</span>
3 0
3 years ago
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