Factors of 54 and 36 all factors correct = brainliest answer

Mathematics

1 answer:

Lilit [14]3 years ago

5 0

9514 1404 393

Answer:

54 = 2 × 3³

36 = 2² × 3²

Step-by-step explanation:

The term "factors" can mean different things in this context. Usually, it means "prime factors." Exponents are used to indicate the number of times a factor is repeated. The prime factors of these numbers are ...

54 = 2 × 3³

36 = 2² × 3²

Sometimes, we use the word "factors" to mean "positive integer divisors." The number of divisors is the product of the exponents of the prime factors, each increased by 1. That is, 54 has (2·4) = 8 divisors; 36 has (3·3) = 9 divisors. The odd number of divisors is one indication that the number is a perfect square.

The divisors of these numbers are ...

54 is divisible by 1, 2, 3, 6, 9, 18, 27, 54

36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36

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3 years ago

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kozerog [31]

Answer:

The perimeter is $32\sqrt{7}$ cm.

Step-by-step explanation:

Perimeter is found by adding all sides of the triangle together. So, this is what we need to find: $8\sqrt{7}+4\sqrt{63}+6\sqrt{28}$

Only <u>like radicals</u> can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.

Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7: 7/7 = 1, 63/7 = 9, 28/7 = 4.

Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.

$8\sqrt{7}$ remains the same; $4\sqrt{63}=4\sqrt{9(7)} =4(3)\sqrt{7}=12\sqrt{7}$ ; and