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pogonyaev
3 years ago
15

What is the circumference of the given circle in terms of pi?

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

Answer: D. 196\pi

Step-by-step explanation:

The circumference of the circle is given by :-

\text{Circumference}=\pi r^2, where r is the radius of the circle.

In the given circle, the radius of the circle = 14 in.

Substitute r=14 in the formula of circumference, we get

\text{Circumference}=\pi (14)^2\\\\\Rightarrow\ \text{Circumference}=196\pi

Hence, \text{Circumference}=196\pi

Afina-wow [57]3 years ago
5 0
The answer would be D 196
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Explain the distance formula. Than use it to calculate the distance between A(1, 1) and B(7, -7).
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Suppose that the function f is defined, for all real numbers, as follows.
Veseljchak [2.6K]

The solutions of the function are:

  • When f(x) = -4, the solution is -4
  • When f(x) = -2, the solution is -5/2
  • When f(x) = 0, the solution is -1

<h3>How to solve for the equation </h3>

The equation is given as

\frac{3}{4} x-1\\\\

When x = -4

3/4 * -4 -1

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When x = -2

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3/4(0) - 1

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When f(x) = -2, the solution is -5/2

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6 0
1 year ago
1. When Lucas dumped the coins out of his piggy bank, he noticed that there were only nickels and dimes, and the number of nicke
vaieri [72.5K]

1- The total value of the Lucas coins dumped out of his piggy bank was $ 5.

2- Franco dumped out 36 coins from his piggy bank (16 quarters and 20 nickels).

3- There is no possible solution, as neither combination gives a total of $ 10, which is the combined total of Lucas and Franco's coins.

1- Given that when Lucas dumped the coins out of his piggy bank, he noticed that there were only nickels and dimes, and the number of nickels was twice the number of dimes, to determine, if there were 50 nickels, what was the total value of the Lucas coins dumped out of his piggy bank, the following calculation must be performed:

  • Nickel = 0.05
  • Dime = 0.10  
  • N + D = X
  • N + 1 / 2N = X
  • 50 + 25 = 75  
  • 50 x 0.05 + 25 x 0.1 = X
  • 2.50 + 2.50 = X
  • 5 = X

Therefore, the total value of the Lucas coins dumped out of his piggy bank was $ 5.

2- Since when Franco dumped the coins out of his piggy bank, he noticed that there were only nickels and quarters, and the number of quarters was six more than half the number of nickels, to determine, if the total value of the coins Franco and Lucas dumped out of each piggy bank was the same, how many coins did Franco dump out of his piggy bank, the following calculation must be performed:

  • Nickel = 0.05
  • Quarter = 0.25
  • Q = 2N + 6
  • 4 x 0.25 + 6 x 0.25 = 1 + 1.5 = 2.5
  • 8 x 0.05 = 0.40
  • 2.5 + 0.4 = 2.9
  • 8 x 0.25 + 6 x 0.25 = 2 + 1.5 = 3.5
  • 16 x 0.05 = 0.8
  • 3.5 + 0.8 = 4.3
  • 10 x 0.25 + 6 x 0.25 = 2.5 + 1.5 = 4
  • 20 x 0.05 = 1
  • 4 + 1 = 5
  • 10 + 6 + 20 = 36

Therefore, Franco dumped out 36 coins from his piggy bank (16 quarters and 20 nickels).

3- Since when Callie dumped the coins out of her piggy bank, she noticed that there were only nickels, dimes and quarters, and the number of dimes was one more than twice the number of quarters, and there were half as many quarters as nickels, y the coins dumped out of Callie's piggy bank had a total value equal to that of the coins dumped out of Franco's and Lucas' piggy banks combined, to determine what was the total value of the nickels and dimes dumped out of Callie's piggy bank, the following calculation should be performed:

  • Nickel = 0.05
  • Dime = 0.10
  • Quarter = 0.25
  • (D + 1) + 1 / 2Q + N = 10
  • 1 x 0.1 + 20 x 0.1 + 10 x 0.25 + 20 x 0.05 = 2.1 + 2.5 + 1 = 5.6
  • 1 x 0.1 + 36 x 0.1 + 18 x 0.25 + 36 x 0.05 = 3.6 + 4.5 + 1.8 = 9.9
  • 1 x 0.1 + 38 x 0.1 + 19 x 0.25 + 38 x 0.05 = 3.9 + 4.75 + 1.9 = 10.55

Therefore, there is no possible solution, as neither combination gives a total of $ 10, which is the combined total of Lucas and Franco's coins.

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2 years ago
What is the slope of the line that contains these points?
nikdorinn [45]

Answer:

Slope = 6

Step-by-step explanation:

Find the difference of the y's over/divided by the difference of the x's.

i.e 8-2 / 14 - 13 = 6 / 1 = 6

8 0
2 years ago
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