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bagirrra123 [75]
3 years ago
15

The Museum Board of Directors would like to remodel a circular deck for the outside eatery that has a current radius of 22 ½ fee

t to a circular deck with a diameter of 67 feet. Determine by how much the circumference and area of deck will increase. Show your work and justify your reasoning. For pi, use 3.14 and round your solutions to the nearest hundredth.
Help Please??
Mathematics
2 answers:
Pepsi [2]3 years ago
8 0

Answer:

624

Step-by-step explanation:

levacccp [35]3 years ago
3 0

Answer:

the area will increase 6073.51 ft

the circumference will increase 69.08 ft

Step-by-step explanation:

(22.5 * 3.14)^2=4991.4225 ft^2

67/2=33.5

(33.5*3.14)^2=11064.9361 ft^2

2(3.14*22.5)=141.3 ft

67/2=33.5

2(3.14*33.5)=210.38 ft

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Fofino [41]
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3 years ago
Square T was translated by the rule (x + 2, y + 2) and then dilated from the origin by a scale factor of 3 to create square T″.
Delicious77 [7]

Answer: OPTION C.

Step-by-step explanation:

It is important to know the following:

<u> Dilation:</u>

  • Transformation in which the image has the same shape as the pre-image, but the size changes.
  • Dilation preserves betweenness of points.
  •  Angle measures do not change.

<u>Translation:</u>

  • Transformation in which the image is the same size and shape as the pre-image.
  • Translation preserves betweenness of points.
  • Angle measures do not change.

Therefore, since the Square T was translated and then dilated to create Square T'', we can conclude that the statement that explains why  they are similar is:

<em>Translations and dilations preserve betweenness of points; therefore, the corresponding sides of squares T and T″ are proportional.</em>

6 0
3 years ago
Read 2 more answers
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 12 feet and
Karolina [17]

Answer:

Step-by-step explanation:

Container A = 75.36 x 17 = 1,281.12

Container B = 62.8 x 18 = 1,130.4

1,281.12 - 1,130.4 = 150.72 is left in container A.

So, 1,130.4 was taken out of it.

1,281.12 divided by 1,130.4 = 1.13

move the decimal over two to the right. Or times it by 100.

113%

5 0
3 years ago
Carol has 88cm of string and cuts it in the ratio 5 : 6. How much longer is the
CaHeK987 [17]

Given:

Carol has 88cm of string and cuts it in the ratio 5 : 6.

To find:

How much longer is the longest piece compared to the shortest piece.

Solution:

Let the lengths of two pieces of string are 5x and 6x. Then,

5x+6x=88

11x=88

x=\dfrac{88}{11}

x=8

Now, the lengths of pieces are:

5x=5(8)

5x=40

And,

6x=6(8)

6x=48

The difference between the longer piece and shorter piece is:

48-40=8

Therefore, the longer piece is 8 m longer than the shorter piece.

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3 years ago
Find the product. list the units
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6h( 19ml/h)

= 114hlm/h

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