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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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Step-by-step explanation:

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Find the missing measure for a right circular cone given the following information.
xxTIMURxx [149]
<h2>Answer:</h2>

The radius of the cone is:

          r=\dfrac{2}{\sqrt{\pi}}

<h2>Step-by-step explanation:</h2>

The total area of cone is given by:

T.A.=\pi r(l+r)=\pi rl+\pi r^2=12---------(1)

where r is the radius of the cone and l is the slant height of the cone.

and the lateral area of cone is given by:

L.A.=\pi rl=8---------(2)

Hence, from equation (1) and (2) we have:

 8+\pi r^2=12\\\\\\i.e.\\\\\\\pi r^2=4

i.e.

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3 years ago
I NEED HELP ASAPPP!!!! It’s urgentttttt!!!!
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Answer: (x - 2)² + (y - 14)² = 1

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of the circle formula.

Circle formula: (x - h)² + (y - k)² = r²

Center = (h, k)

Radius = r

If you are still confused, please refer to the attachment below for a graphical explanation.

<u>Solve:</u>

Center = (2, 14)

Radius = 1

<em>Given formula</em>

(x - h)² + (y - k)² = r²

<em>Substitute the value into the formula</em>

(x - 2)² + (y - 14)² = (1)²

<em>Simplify</em>

(x - 2)² + (y - 14)² = 1

Hope this helps!! :)

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