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TEA [102]
3 years ago
9

The surface area of a cube is 6(a/4)^2, where a is a positive constant. What is the perimeter of one face of the cube?

Mathematics
1 answer:
maksim [4K]3 years ago
7 0

Answer: The perimeter is a

Step-by-step explanation:

1. By definition, the formula for calculate the surface area of a cube is:

SA=6s^{2}

Where s is the lenght of any edge of the cube.

2. You know that the surface area of the cube of the problem is 6(a/4)^{2}, therefore the lenght of each edge of the cube is:

s=a/4

3. Each face of the cube is a square, therefore the perimeter of one face is:

P=4s

P=4(a/4)

P=4a/4

P=a

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Evaluate 12∣∣−x+3∣∣−5 when x = 11.
Evgen [1.6K]

Answer:

91

Step-by-step explanation:

12∣∣−x+3∣∣−5

Let x = 11

12∣∣−11+3∣∣−5

Do the absolute value first

12∣∣-8∣∣−5

Taking the absolute value, which means making it positive

12* 8 -5

Multiply and divide

96 -5

91

7 0
3 years ago
From the yearbook receipts the students council deposited apart of the $1200 in a saving account receiving 9% interest per annum
Naddika [18.5K]
There was $800 deposited at 9% interest and $400 deposited at 4% interest.

The formula for simple interest is I = prt.  Using our information we have:

88 = x(0.09)(1) + (1200-x)(0.04)(1)
88 = 0.09x + 48 - 0.04x
88 = 0.05x + 48

Subtract 48 from both sides:
88 - 48 = 0.05x + 48 - 48
40 = 0.05x

Divide both sides by 0.05:
40/0.05 = 0.05x/0.05
x = 800
1200 - x = 400
8 0
3 years ago
What is the solution of |x- 5|-2=10?
Lelu [443]

Answer:

x=17, x=-7

Step-by-step explanation:

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |x-5|-2 = 10  

Another term is moved / added to the right hand side.

     |x-5| = 12  

Step  2  :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-5|

For the Negative case we'll use -(x-5)  

For the Positive case we'll use (x-5)  

Step  3  :

Solve the Negative Case

     -(x-5) = 12  

    Multiply

     -x+5 = 12  

    Rearrange and Add up

     -x = 7  

    Multiply both sides by (-1)

     x = -7  

    Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

     (x-5) = 12  

    Rearrange and Add up

     x = 17  

    Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

x=-7

x=17

8 0
3 years ago
Read 2 more answers
A soldier started patrolling around his camp at 22 30 . His patrol lasted 3 hours and 20 minutes .What time did his patrol end
baherus [9]

Answer:01 50 Hrs

Step-by-step explanation:

If the soldier started patrol at 2230 hrs and his petrol lasted for 3 hours and 20 minutes, that means he was on patrol for that time.

The time he finished was therefore:

= 2230 + 320

= 2550

At 24 you begin at 0:00am so:

= 2550 - 2400

= 150

Patrol ended at 0150 hrs

4 0
3 years ago
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valkas [14]

Answer:

If they are divisible by 2

Step-by-step explanation:

:))

like ex.

2 4 6 8 10 12

8 0
3 years ago
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