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Artemon [7]
3 years ago
10

The radius of a circle is 13 meters. What is the circle's circumference?

Mathematics
1 answer:
Vlad [161]3 years ago
8 0

Answer:

The circumference of a circle is calculated by multiplying the diameter of a circle by π (π × d) . The formula to calculate the circumference of a circle is usually written c = πd .

Step-by-step explanation:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.

I hope this helps.

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The measure of the supplementary angle is 148 degrees.
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Which answer describes the function f(x)=x^5+2x ?<br><br><br> odd<br><br> even<br><br> neither
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Answer:

Odd function

Step-by-step explanation:

The given function is f(x)=x^5+2x

We know that:

  • The function is even if f(-x) = f(x)
  • The function is odd if f(-x)=-f(x)
  • If the function doesn't satisfy these two properties then it is neither odd nor even.

Hence, we substitute x = -x to find f(-x)

f(-x)=(-x)^5+2(-x)\\=-x^5-2x\\=-(x^5+2x)\\=-f(-x)

Since, f(-x)=-f(x). Hence, the function is odd.

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7 0
3 years ago
In ΔABC, if AB = 14 and BC = 9, AC may be equal to
Pie

Answer:

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

Step-by-step explanation:

There is a fact in any triangle:

<em>The length of any side of a triangle must be greater than the difference of the lengths of the other two sides and smaller than the sum of the lengths of the other two sides</em>

If the lengths of the three sides of a triangle are a , b and c, then

  • a - b < c < a + b
  • b - c < a < b + c
  • a - c < b < a + c

In Δ ABC:

→ (BC) - (AC) < AB < (BC) + (AC)

→ (AB) - (AC) < BC < (AB) + (AC)

→ (AB) - (BC) < AC < (AB) + (BC)

∵ AB = 14 units

∵ BC = 9 units

- Find the sum and difference of them

∵ AB - BC = 14 - 9

∴ AB - BC = 5

∵ AB + BC = 14 + 9

∴ AB + BC = 23

- That means the length of AC could be any integer greater

    than 5 and smaller than 23

∴ 5 < AC < 23

AC could be any number of these numbers 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22

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