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forsale [732]
3 years ago
9

The surface area of the cube is 54 square feet. What is the length, in feet, of one edge of the cube?​

Mathematics
1 answer:
Brut [27]3 years ago
5 0

Answer:

3 ft

Step-by-step explanation:

A cube is made of 6 equal faces each of which is a square with the same side length. The surface area of the cube is the surface area of one side multiplied by 6. We know the surface area is 54 so divide this by 6.

54/6 = 9 ft^2

Since the surface must be a square, take the square root of 9 which is 3 ft. The length of one edge of the cube is 3 ft.

You might be interested in
A garden has an area of 32 square feet what is the smallest possible perimeter
stepan [7]

Answer:

24 feet

Step-by-step explanation:

factors that produce an area of 32:

1x32  Would give a perimeter of 66

2x16  Would give a perimeter of 36

4x8  Would give a perimeter of 24

6 0
2 years ago
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit
Nezavi [6.7K]

Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:

m = (5 - 1)/(5 - 0) = 4/5 = 0.8.

Hence the equation that gives the approximate height after x weeks is:

y = 0.8x + 1.

After 8 weeks, the expected height is:

y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0
2 years ago
The volume of a cone is 37x3 cubic units and its height is x units.
Alla [95]

Answer:

  6x

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (π/3)r²h

Filling in the given values and solving for r, we find ...

  37x³ = (π/3)r²x

  (3·37/π)x² = r² . . . . . . . . divide by the coefficient of r²

  x√35.3324 ≈ r ≈ 5.94x

The closest answer choice is 6x.

5 0
3 years ago
If f(x)=ln x and g(x)=e^x+1 find f(g(2))-g(f(e)) please help!!
Readme [11.4K]

Answer:

<h3>ln (e^2 + 1) - (e+ 1)</h3>

Step-by-step explanation:

Given f(x) = ln and g(x) = e^x + 1 to get  f(g(2))-g(f(e)), we need to first find the composite function f(g(x)) and g(f(x)).

For f(g(x));

f(g(x)) = f(e^x + 1)

substitute x for e^x + 1 in f(x)

f(g(x)) = ln (e^x + 1)

f(g(2)) = ln (e^2 + 1)

For g(f(x));

g(f(x)) = g(ln x)

substitute x for ln x in g(x)

g(f(x)) =  e^lnx + 1

g(f(x)) = x+1

g(f(e)) = e+1

f(g(2))-g(f(e)) = ln (e^2 + 1) - (e+ 1)

5 0
3 years ago
. A chef randomly pulls cupcakes from a box containing 6 cupcakes of the same shape and size. There is 1 cupcake with vanilla fr
Aleks [24]

Answer:

Step-by-step explanation:

there is a 50/50 chance of getting a chocolate cupcake. :P

6 0
1 year ago
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