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arsen [322]
2 years ago
6

11/9 = 55/n n= HELP PLEASEEEEE

Mathematics
1 answer:
castortr0y [4]2 years ago
3 0

Answer:

n = 45

Step-by-step explanation:

Step 1: Cross-multiply.

  • \frac{11}{9}  = \frac{55}{n}
  • 11 * n = 55 * 9
  • 11n  = 495

Step 2: Divide both sides by 11.

  • \frac{11n}{11} = \frac{495}{11}
  • n  = 45
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Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

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=> w^{2} -12w+8w-96=0

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We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

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5 0
3 years ago
Is 1 3/23 a rational number
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Yes

Step-by-step explanation:

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Use the expression to prove a trigonometry identity

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