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AveGali [126]
2 years ago
14

find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 . ​

Mathematics
1 answer:
Dimas [21]2 years ago
7 0
<h3>☂︎ Answer :- </h3>

  • 8100
<h3>☂︎ Solution :- </h3>

  • LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
  • 2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

☞︎︎︎ 2 × 3³ × 5² × 2 × 3

☞︎︎︎ 2² × 3⁴ × 5²

☞︎︎︎ 4 × 81 × 85

☞︎︎︎ 100 × 81

☞︎︎︎ 8100

8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .

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Answer:

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Step-by-step explanation:

k =  \frac{p}{2} (y + w)

multiply 2 on both sides:

k \times 2 = 2 \times  \frac{p}{2} (y + w) \\  \\ 2k = p(y + w)

open the bracket:

2k = py + pw

subtract pw from both sides:

2k - pw = (py + pw) - pw \\ 2k - pw = py

divide p on both sides:

\frac{2k - pw}{p}  =  \frac{py}{p}  \\  \\ y =  \frac{2k - pw}{p}

4 0
3 years ago
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The inference is that the person will tell the friend that he did manifest coding and he should have recorded the base.

<h3>What is an inference?</h3>

The options are:

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He did manifest coding and he should have recorded the base.

It should be noted that an inference simply means the conclusion that can be deduced based on the information given.

In this case, the friend was interested in determining whether the news media noticed campus events and decided to do a content analysis of the local paper.

Therefore, the the person will tell the friend that he did manifest coding and he should have recorded the base.

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Step-by-step explanation:

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y + 2 = log_3 (x + 3)

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2 years ago
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Natalija [7]

Answer:

C. 40π cm²

Explanation:

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,

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For a sector of radius r and central angle θ, we calculate the area using the formula below:

\text{Area}=\frac{\theta}{360\degree}\times\pi r^2

Substituting the given values, we have:

\begin{gathered} \text{Area}=\frac{225}{360}\times\pi\times8^2 \\ =\frac{5}{8}\times64\times\pi \\ =5\times8\times\pi \\ =40\pi cm^2 \end{gathered}

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3 0
1 year ago
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frosja888 [35]
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