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2 years ago

Jan 18 Spiral Review Find the surface area of the following complex shapes.

Mathematics

1 answer:

zepelin [54]2 years ago

4 0

Answer:

320 in.²

Step-by-step explanation:

Let's think of the shape as a normal rectangle with a height of 16 inches. Now all we need is the length. If you look at the right corner, it looks like a piece has been cut out. Since that piece has the same length and height of 8 inches, it is a square. This tells us the missing length of the entire length of the rectangle. Now the length of the rectangle is 16 inches + 8 inches, which is 24 inches.

The total area of the rectangle is 16 × 24, which is 384.

Then from the total area, we just need to subtract the area of the cut-out part. The area of the cut-out square is 8 × 8, which is 64.

384 - 64 = 320

The total surface area of the following complex shape is 320 in.²

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Answer:

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Step-by-step explanation:

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3 years ago

A rectangle has a perimeter of 56 in. The length is four more than the width. What are the length and width of the rectangle

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Answer:

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Step-by-step explanation:

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Answer:

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3 years ago

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Alex787 [66]

Answer:

Option 3 and 4.

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation$

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Option 1 is incorrect

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$z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1$

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Option 2 is incorrect

3) For x = 95:

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6$

Option 3 is correct

4) For x < 77

$z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1$

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Option 4 is correct

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2 years ago