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Law Incorporation [45]
3 years ago
8

HELP!!!!!!!! 15 POINTS

Mathematics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

x=5 is in the domain

Step-by-step explanation:

sqrt(x-5) ≥ 0

Square each side

(sqrt(x-5))^2 ≥ 0^2

x-5≥0

x≥5

This is the domain of x

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zaharov [31]

67.82 x .075 = 5.0865 rounded to 5.09. 5.09+ 67.82 = $72.91. There's your answer
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The surface of a right cylinder is 324 pi cm^2. If the radius and height are equal, find the length of the diameter
DanielleElmas [232]

Answer:

The length of the diameter is 18 cm

Step-by-step explanation:

In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.

Mathematically, the surface area of a cylinder can be represented by the equation;

A = 2 π r( r + h)

since r = h, we can say h = r

Thus, the equation becomes;

A = 2 π r( r + r)

A = 2 π r(2r)

A = 4 π r^2

From the question, we can see that the value of A = 324 π

substituting this, we have;

324 π = 4 π r^2

4r^2 = 324

r^2 = 324/4

r^2 = 81

r = root of 81

r = 9 cm

The value of the diameter is two times the radius

Hence D = 2r = 2 * 9 = 18 cm

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3 years ago
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2 years ago
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An 8-foot roll of wrapping paper costs $12.48. What is the price per inch?
Kisachek [45]

The price of this wrapping paper per inch is equal to $1,198.08.

<u>Given the following data:</u>

  • Cost of wrapping paper = $12.48.
  • Length of wrapping paper = 8 foot.

To determine the price of this wrapping paper per inch:

<h3>How to solve the problem.</h3>

In this exercise, you're required to solve for the cost of an 8-foot roll of wrapping paper that costs $12.48. Thus, we would convert the length of this wrapping paper in foot to inch and then multiply by $12.48.

<u>Conversion:</u>

1 foot = 12 inch

8 foot = X inch

Cross-multiplying, we have:

X = 8 \times 12

X = 96 inch

For price per inch:

Price = 12.48 \times 96

Price = $1,198.08

Read more on word problems here: brainly.com/question/13170908

3 0
2 years ago
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