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Anna35 [415]
3 years ago
13

Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, f

abric is sold by the foot. If Gina's curtain company wants to make 77 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Mathematics
1 answer:
9966 [12]3 years ago
8 0

Answer:

231 feet of fabric

Step-by-step explanation:

Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot.

Converting from inches to foot

1 inch = 1/12 foot

36 inches = x feet

x = 36 × 1/12 foot

x = 3 feet

Hence, each curtain = 3 feet

If Gina's curtain company wants to make 77 curtains, how many feet of fabric will she need?

This is calculated as:

1 curtain = 3 feet

77 curtains = x

Cross Multiply

x = 77 × 3 feet

x = 231 feet

Hence, she would need 231 feet of fabric

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(1 point) The matrix A=⎡⎣⎢−4−4−40−8−4084⎤⎦⎥A=[−400−4−88−4−44] has two real eigenvalues, one of multiplicity 11 and one of multip
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p(\lambda)=det(\left[\begin{array}{ccc}-4-\lambda&-4&-4\\0&-8-\lambda&-4\\0&8&4-\lambda\end{array}\right] )\\=(-4-\lambda)det(\left[\begin{array}{cc}-8-\lambda&-4\\8&4-\lambda\end{array}\right] )\\=(-4-\lambda)((-8-\lambda)(4-\lambda)+32)\\=-\lambda^3-8\lambda^2-16\lambda

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