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Lerok [7]
3 years ago
15

A circular plate has circumference 24.5 inches. what is the area of this plate? use 3.14 for pi.

Mathematics
2 answers:
lbvjy [14]3 years ago
5 0

Answer:

The area of the plate is 47.78

Step-by-step explanation:

Alex3 years ago
4 0

Given:

Circumference of a circular plate = 24.5 inches.

To FInd:

Area of the circular plate

Solution:

By the formula of circumference

Circumference of a circular plate = 2πr

Where 'r' = radius of the plate

24.5 = 2\pi r

r = \frac{24.5}{3.14 * 2}  [Since π = 3.14]

r = 3.90 inches

We know the formula of a circular plate is,

Area =  πr²

Therefore, A = (3.14)(3.90)²

A = 47.79 square inches

Therefore, area of the circular plate is 47.79 inches.

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Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)? y squared over 40 minus x square
N76 [4]

The equation of the hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0) is \frac{x^2}{10} + \frac{y^2}{15} = 1

<h3>How to determine the equation of the hyperbola?</h3>

The given parameters are:

  • Directrices at x = ±2
  • Foci at (5, 0) and (−5, 0)

The foci of a hyperbola are represented as:

Foci = (k ± c, h)

The center is:

Center = (h,k)

And the directrix is:

Directrix, x = h ± a²/c

By comparison, we have:

k ± c = ±5

h = 0

h ± a²/c = ±2

Substitute h = 0 in h ± a²/c = ±2

0 ± a²/c = ±2

This gives

a²/c = 2

Multiply both sides by c

a² = 2c

k ± c = ±5 means that:

k ± c = 0 ± 5

By comparison, we have:

k = 0 and c = 5

Substitute c = 5 in a² = 2c

a² = 2 * 5

a² = 10

Next, we calculate b using:

b² = c² - a²

This gives

b² = 5² - 10

Evaluate

b² = 15

The hyperbola is represented as:

\frac{(x - k)^2}{a^2} + \frac{(y - h)^2}{b^2} = 1

So, we have:

\frac{(x - 0)^2}{10} + \frac{(y - 0)^2}{15} = 1

Evaluate

\frac{x^2}{10} + \frac{y^2}{15} = 1

Hence, the equation of the hyperbola is \frac{x^2}{10} + \frac{y^2}{15} = 1

Read more about hyperbola at:

brainly.com/question/3405939

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6 0
2 years ago
1 a. A truck is carrying orange juice, mango juice, and peach juice bottles in a ratio of
sattari [20]

84/6 = 14 mango juice bottles

8 0
3 years ago
It's the computer seice can u help me
Dmitrij [34]

Answer:

I can help you, just tell me what it is.

Step-by-step explanation:

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5 0
2 years ago
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Natali5045456 [20]

Answer:

Table D

Step-by-step explanation:

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3 years ago
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How do I simplify a fraction? For example if the question is 7 1/5 divided by 2 2/15 what would I do to simplify?
Westkost [7]
7 1/5:
Multiply the denominator and the whole number: 7*5 = 35 and then add the numerator: 35+1= 36/5. Then, do this for the following fraction, the improper fraction value of 2 2/15 is 32/15.
Now we need 36/5 & 32/15 to have common denominators so that we can simplify it a little less complicated.

For Instance,

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Now we divide, (108/15)/(32/15)
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Answer is 3 3/8.

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