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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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Step-by-step explanation:

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3 years ago
Debra wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 15 inches by 7 inches by
Whitepunk [10]

Answer:

Yes, she can.

Step-by-step explanation:

We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.

The surface area of a rectangular prism is given as:

A=2(wl+hl+hw)

where w = width, l = length, h = height

The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:

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Step-by-step explanation:

3 0
3 years ago
Which ordered pair makes both inequalities true y x 1 YX?
denis-greek [22]

The ordered pair which makes both inequalities true is (-2, 2).

It is given that inequalities are

y < -x + 1 and y > x

For  y < -x + 1

Substituting every ordered pair,

1) (-3, 5)

⇒ 5 < - (-3) + 1

⇒ 5 < 3 + 1

⇒ 5 < 4 is false

2) (-2, 2)

⇒ 2 < -(-2) + 1

⇒ 2 < 2 + 1

⇒ 2 < 3 is true

3) (-1, -3)

⇒ -3 < - (-1) + 1

⇒ -3 < 1 + 1

⇒ -3 < 2 is true

4) (0, -1)

⇒ -1 < -0 + 1

⇒ -1 < 1 is true

Now , for  y > x

1) (-3, 5)

⇒ 5 > -3 is true

2) (-2, 2)

⇒ 2 > -2 is true

3) (-1, -3)

⇒ -3 > -1 is false

4) (0, -1)

⇒ -1 > 0 is false

Therefore ,the ordered pair which makes both inequalities true is (-2, 2).

To know more about Inequalities here

brainly.com/question/11612965

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