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2 years ago

12

The length from one point to another that is a portion of the curve of the circle is called:

1 answer:

Tom [10]2 years ago

5 0

Answer:

The length from one point to another that is a portion of the curve of the circle is called <u>arc</u>

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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

3.89×10^9 in standard form

Tanya [424]

Answer:

3890000000

Step-by-step explanation:

7 0

3 years ago

Complete the solution of the equation fine the value of y when x = 9 3x+4y=43

Mekhanik [1.2K]

3(9)=27
27+4Y=43
subtract 27 from both sides
4Y=16
devide both sides by 4
Y=4

6 0

3 years ago

Use the distributive property to rewrite and find 4 x (25 + 4). Thanks.

sesenic [268]

116 , <span><span>(4 * 25) + ( 4 * 4 )
</span>4 x (25 + 4)
4 * 25
4 * 4
(4 * 25) + ( 4 * 4 ) = Distributive Property
</span><span><span>4 * 25 = 100
4 * 4 = 16</span>
100 + 16 = 116

</span>

5 0

3 years ago

Read 2 more answers

A bag contains 12 red, 30 blue, 20 green, 10 yellow, and 8 black marbles. Nancy chooses 1 marble from the bag. What is the proba

saul85 [17]

Answer:

5/8

Step-by-step explanation:

12+30+20+10 +8 =80 total marbles

12+30+8=50 red blue and black

50/80

5/8

6 0

3 years ago