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vlabodo [156]
3 years ago
12

A circular rug has a radius of 4. 5 feet. What is the circumference of the rug? Use 3. 14 for Pi and round to the hundredths pla

ce. 14. 13 28. 26 44. 37 88. 74.
Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

28.26

Step-by-step explanation:

The circumference of a circle is equal to 2πr, where r is the radius. The radius is the distance from the center of the circle to a point on the outside of the circle.

To find the circumference you can <u>plug in the known information</u> and multiply. However, instead of using actual pi, we will use 3.14 because that is what the question says.

  • 2 * 3.14 * 4.5 = 28.26

This means that the distance around the rug is 28.26 feet.

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What expressions is equivalent to -3 3/7 + 2 5/7
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-5/7

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Read 2 more answers
Solve for x: −3|2x + 6| = −12 (1 point)
Alla [95]

Answer:

x = - 5, x = - 1

Step-by-step explanation:

Given

- 3 | 2x + 6 | = - 12 ( divide both sides by - 3 )

| 2x + 6 | = 4

The absolute value always returns a positive value, but the expression inside can be positive or negative, that is

2x + 6 = 4 ( subtract 6 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

OR

- (2x + 6) = 4 ← distribute left side

- 2x - 6 = 4 ( add 6 to both sides )

- 2x = 10 ( divide both sides by - 2 )

x = - 5

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - 1 → - 3| - 2 + 6 | = - 3 | 4 | = - 3 × 4 = - 12 ← True

x = - 5 → - 3 | - 10 + 6 | = - 3 | - 4 | = - 3 × 4 = - 12 ← True

Thus x = - 5 and x = - 1 are the solutions

8 0
4 years ago
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