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3 years ago

The perimeter of a square picture frame is 5.4 inches . What is the length of one side? Write and equation and slove.

Mathematics

2 answers:

Anarel [89]3 years ago

7 0

Answer:

s = 1.35 (See explanation!)

Step-by-step explanation:

To write an equation, you need to know that all four sides of a square are equal. Since each side is equal, it can be represented by the same variable or value. I'll use s for the variable:

Equation:

4s = 5.4

Note: the 4s is the total perimeter (4 * side)

Now, solve:

4s = 5.4

Divide by four to isolate the s:

4s/4 = 5.4/4

Finally:

s = 1.35

boyakko [2]3 years ago

5 0

Answer:

4x=5.4

1.35 in.

Step-by-step explanation:

1. Since it's a square, each side is of equal length

2. Since there's four sides of a square you need to divide 5.4 (perimeter) by four to find the length of one side.

3. 4x=5.4

4. Divide each side of the equation by 4 find x (the length of one side)

5. x=1.35 in.

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Use a table of values with at least 5 values to graph the following function:

34kurt

The given expression :

$y=(\frac{1}{2})^x$

For coordinates:

put x = 0 then :

$\begin{gathered} y=(\frac{1}{2})^0 \\ y=1 \end{gathered}$

Coordinate : (x, y) = (0, 1)

Put x= 1 and simplify :

$\begin{gathered} y=(\frac{1}{2})^1 \\ y=\frac{1}{2} \\ y=0.5 \end{gathered}$

Coordinate : (x, y) = ( 1, 0.5)

Put x = (-2) and simplify :

$\begin{gathered} y=(\frac{1}{2})^{-2} \\ y=\frac{1^{-2}}{2^{-2}} \\ y=\frac{2^2}{1^2} \\ y=2^2 \\ y=4 \end{gathered}$

Coordinate : (x, y) = ( -2, 4)

Put x = (-3) and simplify :

$\begin{gathered} y=(\frac{1}{2})^{-3} \\ y=\frac{1^{-3}}{2^{-3}} \\ y=\frac{2^3}{1^3} \\ y=2^3 \\ y=8 \end{gathered}$

Coordinate : (x, y) = (-3, 8)

Substitute x = (-1) and simplify :

$\begin{gathered} y=(\frac{1}{2})^x \\ y=(\frac{1}{2})^{-1} \\ y=\frac{1^{-1}}{2^{-1}} \\ y=\frac{2}{1} \\ y=2 \end{gathered}$

Coordinate : (x, y) = ( -1, 2)

So, the coordinates are :

The graph is :

4 0

1 year ago

84/12 = 28/x 1. x=4 2. X=28

yan [13]

Answer:

x = 4

Step-by-step explanation:

We can use cross products to solve

84/12 = 28/x

84 * x = 12 *28

Divide each side by 84

84x/84 = 12*28/84

x =4

5 0

3 years ago

If a box has a length of 12 inches, a width of 10 inches and a height of 6 inches, what is the surface area?

Scrat [10]

Answer:

The answer is 28.

Step-by-step explanation:

Add all of them.

(L/ length) 12.

(W/ width) 10

(H/ height) 6

12 + 10 + 6 = 28

I hope this helps

6 0

3 years ago

Read 2 more answers

What are the next three terms of each sequence?5,7.5

leva [86]

Answer:

The next three terms are 10, 12.5 and 15

Step-by-step explanation:

I. As you can see 5 and 7.5 is came from 5, 5 + 2.5

So given y = 5 + 2.5( x - 1 ) when y is output, x is term

II. Perform x = 3, 4, 5

So y = 5 + 2.5( 3 - 1 )

= 5 + 5

3rd = 10

y = 5 + 2.5( 4 - 1 )

= 5 + 7.5

4th = 12.5

y = 5 + 2.5 (5 - 1)

= 5 + 10

5th = 15

Leave comment below.

3 0

3 years ago

The lifespan of a 60-watt lightbulb produced by a company is normally distributed with a mean of 1450 hours and a standard devia

Flura [38]

To evaluate the probability that the lifespan will be between 1440 and 1465 hours will be given by:
P(1440<x<1465)
using the z-score formula we obtain:
z=(x-μ)/σ
where:
μ=1450
σ=8.5
hence
when x=1440
z=(1440-1450)/8.5
z=-1.18
P(z<-1.18)=0.1190

when x=1465
z=(1465-1450)/8.5
z=1.77
P(z<1.77)=0.9625

hence:
P(1440<x<1465)
=0.9625-0.1180
=0.8445

8 0

3 years ago