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2 years ago

What’s the volume of the rectangular prism of 2cm, 7/3 cm and 2cm?

Mathematics

1 answer:

Eduardwww [97]2 years ago

3 0

Answer:

9 1/3 cm³

Step-by-step explanation:

First multiply two numbers.

2x2=4

Then multiply the product by the third number.

4x7/3

4 x 7

1 x 3

= 28/3 or 9 1/3

hope it helps

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Convert to a fraction in simplest terms: .45

photoshop1234 [79]

Answer:

9/20

Step-by-step explanation:

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2 years ago

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– 6 x + 4 < 29 answer?

svlad2 [7]

Answer:

its 847>×+18 enjoy hope it work

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2 years ago

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

2 years ago

The table shows the charges for using an internet service. Nicholas use the internet service for 16 hours and 40 Minutes last mo

yanalaym [24]

Answer:

A. Nicholas will have to pay less using plan A

B. He will pay US$ 4 less than plan B

Step-by-step explanation:

Let's compare how much Nicholas will pay on internet service in Plan A and plan B, after using it 16 hours and 40 minutes.

Plan A

Up to 10 hours = US$ 6

Every subsequent 1/2 hour: $1

10 hours + 14 (1/2 hour)

Nicholas will pay 6 + 14 * 1 = US$ 20

Plan B

Up to 12 hours = US$ 4

Every subsequent 1/2 hour: $2

12 hours + 10 (1/2 hour)

Nicholas will pay 4 + 2 * 10 = 24

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2 years ago

The equation P=6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon

Verdich [7]

we know that s = 3, so plug it in.

P = 6(3)

P = 18

perimeter = 18 km

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2 years ago

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