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Leto [7]
3 years ago
15

A circle has a circumference of 16 pi yards find the area in terms of pi

Mathematics
2 answers:
IRINA_888 [86]3 years ago
5 0
64 pi. Since the formula for the circumference of a cirlcle is: pi x diameter. The diameter of the circle would be 16. And the radius of that would be 8 since its half of 16. The formula to find the area is: pi x radius squared. So 8 squared pi would be 64 pi.
EastWind [94]3 years ago
5 0

Work is provided below.

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Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
Anybody know the answer?
maksim [4K]

x is 3pi/4 and 7pi/4

Type in correctly

8 0
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7.
Svetlanka [38]

Answer:

D. y ≥ 2x – 2

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ 2 x + 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ − 2 x + 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≤ 2 x − 2

Graph the inequality by finding the boundary line, then shading the appropriate area.

y ≥ 2 x − 2

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The answer would be a trapezoid
8 0
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Jynessa wants to order these fractions: 4/9, 2/3, 1/6, -2 1/2 What should she use as her common denominator?
IceJOKER [234]
4/9 , 2/3, 1/6, ....-2 1/2 = - 5/2

common denominator is 18
8 0
3 years ago
Read 2 more answers
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