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Ronch [10]
3 years ago
15

The base of the lampshade is a regular hexagon with a side length of 8 inches. Estimate the amount of glass needed to make the l

ampshade.
Mathematics
2 answers:
Rus_ich [418]3 years ago
8 0

Answer:

The amount of glass needed to make the lampshade is:

  166.27 square inches

Step-by-step explanation:

The base of the lampshade is a regular hexagon with a side length of 8 inches.

Estimate the amount of glass needed to make the lampshade.

Area of hexagon of side s= (3√3 s²)/ 2

 Here, s= 8 inches

Area= \dfrac{3\times \sqrt{3}\times 8\times 8 }{2}

       =166.27 square inches

Hence,  the amount of glass needed to make the lampshade is:

  166.27 square inches

skad [1K]3 years ago
5 0
Estimated is ; A ≈ 166.28

Because you must use the area of a hexagon to find the answer

You're welcome:)
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Point D is located on MN at (2,43). What ratio relates MD to DN?
Eva8 [605]

The ratio of MD to DN is equal to 2.

<h3>How to find the partition ratio for a line segment</h3>

In accordance with the image set aside, the locations of the points M and N are M(x, y) = (- 6, - 4) and N(x, y) = (6, 4), respectively. Now we determine the vectors associated to line segments MD and DN by vector sum:

<u>MD</u> = D(x, y) - M(x, y)

<u>MD</u> = (2, 4 / 3) - (- 6, - 4)

<u>MD</u> = (8, 16 / 3)

<u>DN</u> = N(x, y) - D(x, y)

<u>DN</u> = (6, 4) - (2, 4 / 3)

<u>DN</u> = (4, 8 / 3)

Lastly, we find the length of each line segment by Pythagorean theorem:

MD = √[8² + (16 / 3)²]

MD = (8 / 3)√13

DN = √[4² + (8 / 3)²]

DN = (4 / 3)√13

And the ratio of MD to DN is:

MD / DN = [(8 / 3)√13] / [(4 / 3)√13]

MD / DN = 2

The ratio of MD to DN is equal to 2.

<h3>Remark</h3>

The statement presents typing mistakes, we kindly present the correct form below:

<em>Point D is located on line segment MN at (2, 4 / 3). What ratio relates MD to DN?</em>

To learn more on line ratios: brainly.com/question/3148758

#SPJ1

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1 year ago
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Vadim26 [7]

Answer:

Step-by-step explanation:

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2 years ago
Convert “6750.” into scientific notation
Sophie [7]

Answer:

6.75 × 10^3

Step-by-step explanation:

Move the decimal 3 times to the left so that the resulting number, m = 6.75, is greater than or equal to 1 but less than 10

Since we moved the decimal to the left the exponent n is positive

n = 3

Write in the scientific notation form, m × 10^n

6.75 × 10^3

7 0
2 years ago
Can someone help me asap please
lutik1710 [3]

Answer:

The answer is $19.44

Step-by-step explanation:

First you have to find 25% of $28.80 (which is 7.20). Then, you subtract the $7.20 from your 28.80. You do that because you are getting a 25% discount. Then, you find 10% of $21.60 (your answer for the 25% discount) and you subtract 10% of $21.60. After that, you get your total of $19.44.

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8 0
3 years ago
1.02 X 10^2<br>8.54 X 10^-3<br>6.83 x 10^-4<br>9.12 X 10^-6​
defon

Answer:

Step-by-step explanation:

1.02 X 10^2=102

8.54 X 10^-3=00.854

6.83 x 10^-4=0.000683

9.12 X 10^-6​=00000.0912

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