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Arlecino [84]
2 years ago
5

A rectangular poster is three times as it is wide. A rectangular banner is five times as long as it is wide. But the banner in t

he poster have a perimeter of 24 inches. What are the length and width of the poster and banner?
Mathematics
1 answer:
stepladder [879]2 years ago
4 0

Answer:

The length of the rectangular banner is 10 inches

The width of the rectangular banner is 2 inches .

Step-by-step explanation:

Given as :

The length of rectangular banner is five times as long as its width

The perimeter of rectangular banner = P = 24 inches

Let The width of rectangular banner = w inches

And The length of rectangular banner = 5 w  inches

Now, According to question

The perimeter of rectangular banner = perimeter of rectangle = 2 × length + 2 × width

Or, The perimeter of rectangular banner =  2 × 5 w + 2 × w

Or, 24 inches = 10 w + 2 w

Or, 24 inches = 12 w

∴ w = \dfrac{24}{12}

I.e w = 2 inches

So, The width of rectangular banner = w = 2 inches

Put the value of w to get length

So, The length of rectangular banner = 5 × 2 = 10  inches

Hence The length of the rectangular banner is 10 inches and The width of the rectangular banner is 2 inches . Answer

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If the exterior angle of a regular polygon is 7.2 degrees, what is the name of that polygon?
kirill [66]

A regular polygon with exterior angle of 7.2 degrees is a 50-gon.

<h3>Regular polygon</h3>

Regular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.

The formula to find the number of sides of a polygon using exterior angle is as follows:

  • exterior angle = 360 / n

where

n = number of sides

Therefore,

7.2 = 360 / n

cross multiply

7.2n = 360

divide both sides by 7.2

n = 360 / 7.2

n = 50

The polygon has 50 sides. Therefore, it is a 50-gon

learn more on polygon here: brainly.com/question/12105506

8 0
2 years ago
How to find the slope of the line
finlep [7]

Answer:

Get a line of which you want to know the slope. Make sure that the line is straight.

Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ).

Pick which point's coordinates are dominant in your equation. ...

Set up the equation using the y-coordinates on top and the x-coordinates on bottom.

4 0
2 years ago
Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples
zheka24 [161]

Answer: a. 0.40   b. 0.23  c . 0.435   d . 0.25

Step-by-step explanation:

                                   melanin      content    Total

                                            high   low

moisture   high                     13      10                23

content    low                       47      30                77

 Total                                   60      40              <u> </u><u>100</u>

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)=\dfrac{40}{100}=0.40

b) Total skin samples has high moisture content = 13+10=23

P(B) =\dfrac{23}{100}=0.23

c) A ∩ B =  Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) =\dfrac{10}{100}=0.10

Using conditional probability formula , P (A|B)=\dfrac{P(A\cap B)}{P(B)}

P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435

d)  P (B|A)=\dfrac{P(A\cap B)}{P(A)}

P (B|A)=\dfrac{0.10}{0.40}=0.25

8 0
3 years ago
Please help me!!! math!!!
Genrish500 [490]
I think the answer is 17
6 0
3 years ago
Help Me! ASAP! Determine whether each equation has no solution, one solution or infinitely many solutions. Choose No Solution, O
ladessa [460]

Answer:

Step-by-step explanation:

(1). One solution

(2). Infinitely Many Solutions

(3). One solution

(4). No Solution

7 0
3 years ago
Read 2 more answers
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