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3 years ago

the length of a rectangular sign is 4 times it's width. if the sign's perimeter is 30 inches, what is the area?

Mathematics

1 answer:

tiny-mole [99]3 years ago

3 0

Answer:

Step-by-step explanation:

Width = x

Length = 4x

Perimeter = Width + Width + Length + Length (Because there are four sides; two sides are the widgth and two sides are the length)

30 (because 30 is given as the perimeter) = x + x + 4x + 4x

30 = 10x

x = 3

Width = 3

Length = 4(3) = 12

Area = Width * Length

Area = 3 * 12 = 36

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What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me

ArbitrLikvidat [17]

Answer:

- 3r + 18

Step-by-step explanation:

7r - 8r - 2r + 13 + 5 = 7r - 10r + 18

6 0

3 years ago

Find the area of this rhombus

Vikentia [17]

<h2>Hello!</h2>

The answer is:

The area of the rhombus is equal to 64 squared inches.

$area=64in^{2}$

Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:

$area=\frac{diagonal_{1}*diagonal_{2}}{2}$

From the image we can see that:

$diagonal_{1}=8in+8in=16in$

$diagonal_{2}=4in+4in=8in$

So, substituting, we have:

$area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}$

Hence, we have that the area of the rhombus is equal to 64 square inches.

Have a nice day!

7 0

4 years ago

Read 2 more answers

Read each verbal expression Then assign a variable and distribute

Sedaia [141]

5. 2*(7+x) which if you distributed would be 14+2x.
6.x - 8^2 or x-64.
Hope this helped!

4 0

4 years ago

Employees of the store in the example wear shirts with the logo on the back. The scale from the original logo in inches to the s

bagirrra123 [75]

Answer:

72 in²

Step-by-step explanation:

<u>The original logo is a triangle and has dimensions of </u>

1.5 in x 1.5 in

<u>The scale factor is </u>

Original to shirt = 1:8

<u>Area of the logo on shirts</u>

A = 1/2bh
A = 1/2*(1.5*8)(1.5*8) =72 in²

6 0

3 years ago

What is an equation of the line that passes through the point ( − 5 , − 1 ) (−5,−1) and is parallel to the line 4 x − 5 y = 10 4

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

The equation of a straight line is expressed in the slope intercept form as

y = mx + c

Where m represents the slope

c represents the intercept.

The given equation is

4x−5y = 10

5y = 4x - 10

y = 4x/5 - 2

Comparing with the slope intercept form,

The slope,m = 4/5

The line that is parallel to the given line passes through the point (- 5,- 1)

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line that is parallel to the given line is 4/5

To determine the intercept c, we will substitute m = 4/5, x = - 1 and x = - 5 into the slope intercept equation. It becomes

- 5 = 4/5 × - 1 + c

- 5 = - 4/5 + c

c = - 5 + 4/5 = (- 25 + 4)/5 = - 21/5

The equation becomes

y = 4x/5 - 21/5

3 0

3 years ago