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2 years ago

A square tile has an area of 324 square inches. what is the perimeter of the square tile in inches?

Mathematics

1 answer:

kotykmax [81]2 years ago

7 0

The formula of an area of a square: $A=a^2$

a - side

We have: $A=324\ in^2$

substitute:

$a^2=324\to a=\sqrt{324} \to a=18\ in$

The fromula of a perimeter of a square is: $P=4a$

substitute:

$P=4\cdot18=72\ in^2$

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David is going to install tiles on the floor of two rooms. One of the floors is 18 feet long by 12 feet wide. The other floor is

crimeas [40]

Dimension of one of the floors of one room that David wants to install tiles is 18feet long by 12 feet wide
Then
Area of the above room = 18 * 12 square feet
   = 216 square feet
Dimension of the floor of the other room that David wants to install tiles is 24 feet long and 16 feet wide
Then
Area of the other room = 24 * 16 square feet
   = 384 square feet
Then
The total square feet of the
rooms that David wants to install tiles = 216 + 384
   = 600 square feet
Cost of the tile that covers 1 square feet = $5
Cost of the 4 tiles that cover 4 square feet = $17
Then
Area that can be covered with 4 square feet of tiles = 600/4 square feet
      = 150 square feet
Minimum cost of covering
the two rooms that David wants to install tiles = 150 * 17 dollars
      = 2550 dollars
So the minimum cost of installing the tiles on the two floors of David's two rooms is $2550. I hope the procedure is simple enough for you to understand.

8 0

3 years ago

Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?

Artyom0805 [142]

Answer: $g(x)=(3)^{-x}$

Step-by-step explanation:

We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.

i.e. the function $f(x)$ will become $f(-x)$ .

Now, the given function : $f(x)=(3)^x$

Then , after reflection across y axis the new function will become:

$g(x)=f(-x)=(3)^{-x}$

7 0

3 years ago

492032 word form and expanded form

amm1812

400,000+90,000+2,000+0+30+02=492,032 is the answer put that and you will get a good grade :)

7 0

2 years ago

Read 2 more answers

Identify each coefficient.<br> 1) 8x =<br> 2) 3m =<br> 3) y =<br> 4) 14t =

777dan777 [17]

1)8
2)3
3)1
4)14
the coefficient is the number in front of the variable

6 0

2 years ago

Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man

ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

X=7

Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

35+3y=50

3y=15

Y=5

6 0

2 years ago