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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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30 POINTS!!! NEED HELP!!!!
Kaylis [27]

Answer:

b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121

Step-by-step explanation:

\Sigma_{k=1}^{16} (k - 5)^2 \\= (1- 5)^2 +  (2- 5)^2 +  (3- 5)^2 + \\ (4- 5)^2 +  (5- 5)^2 +  (6- 5)^2 \\+  (7- 5)^2 +  (8- 5)^2 +  (9- 5)^2 \\+  (10- 5)^2 +  (11- 5)^2 +  (12- 5)^2 \\+  (13- 5)^2 +  (14- 5)^2 +  (15- 5)^2\\ +  (16- 5)^2 \\\\=(-4)^2 +  (-3)^2 +  (-2)^2 +  (-1)^2 +  (0)^2 \\+  (1)^2 +  (2)^2 +  (3)^2 +  (4)^2 +  (5)^2 \\+  (6)^2 +  (7)^2 +  (8)^2 +  (9)^2 +  (10)^2 + \\ (11)^2 \\\\=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121

6 0
3 years ago
a bag has 8 green marbles and 12 red marbles. if you draw on marble from the bag, what is the probability of drawing a green mar
Alex787 [66]
The probability of drawing a green marble is 8/20.

there are 20 marbles total and 8 of them are green.
7 0
3 years ago
Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
evablogger [386]
<span>supplementary angles sum = 180
</span>lets x  = measure of angle Y

x + 3x = 180
4x = 180
x = 45

angle Y = 45
angle X = 3 x 45 = 135

answer
Angle X = 135
8 0
3 years ago
Read 2 more answers
I get
dybincka [34]

Answer:

Absolute minimum = 1.414

Absolute maximum = 2.828

Step-by-step explanation:

g(x,y)=\sqrt {x^2+y^2} \ constraints: 1\leq x\leq 2 ,\ 1\leq y\leq2

For absolute minimum we take the minimum values of x and y.

x_{minimum} =1\\y_{minimum}=1\\

Plugging in the minimum values in the function.

g(1,1)=\sqrt {1^2+1^2}\\g(1,1) = \sqrt{1+1}\\g(1,1)=\sqrt {2}\\g(1,1)=\pm 1.414\\

Absolute minimum value will be always positive.

∴ Absolute minimum = 1.414

For absolute maximum we take the maximum values of x and y.

x_{maximum} =2\\y_{maximum}=2\\

Plugging in the maximum values in the function.

g(2,2)=\sqrt {2^2+2^2}\\g(2,2) = \sqrt{4+4}\\g(2,2)=\sqrt {8}\\g(2,2)=\pm 2.828\\

Absolute maximum value will be always positive.

∴ Absolute maximum = 2.828

3 0
3 years ago
Math Problem:
Masteriza [31]

Answer:

i dont know

Step-by-step explanation:

I just need points go to this website m a t h w a y for help on any math :)

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