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Yakvenalex [24]
3 years ago
15

Andrea is painting a ceramic plate with a diameter of 12 inches. She wants to paint a thin blue line around the edge of the plat

e. How long will the line be?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer:

37.7 inches

Step-by-step explanation:

She wants to paint the line along the circumference of the plate.

The plate is circular; the circumference of a circle is given as:

C = πD

where D = diameter

The diameter of the plate is 12 inches, therefore:

C = π * 12 = 37.7 inches

The line will be 37.7 inches long.

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aleksandrvk [35]

Answer: y + 6 = \frac{1}{2}(x - 6)

Step-by-step explanation:

Point-slope formula:  y - y1 = m(x - x1)

Plug in the numbers: y - -6 = \frac{1}{2}(x-6)

Clear the double negatives: y + 6 = \frac{1}{2}(x - 6)

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3 years ago
If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?
KATRIN_1 [288]

9514 1404 393

Answer:

  (d)  36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

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If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

  d^2 = 20^2 +30^2 = 1300

  d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

3 0
3 years ago
Which is the domain of the function f(x) = -5/6(3/5)x ?
Ghella [55]

The domain would be (negaive infinity, positive infinity)

8 0
3 years ago
Solving a Real-World Problem
lisov135 [29]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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A rectangular kitchen is 11 ft by 17 ft. How many square tiles, each with a perimeter 24 inches, are needed to cover the floor?
Alenkasestr [34]

Answer:

7.7916

Step-by-step explanation:

Multiply 11 by 17 which equals 187,

do 187 / 24 which equals 7.7916 tiles.

Hope this helps!

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3 years ago
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