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Mamont248 [21]
3 years ago
8

What integers are closest to the square root of 54 on the number line?

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

sqrt(54) is between 7 and 8

Step-by-step explanation:

Lets look at integers that are squared

1^2  = 1

2^2 = 2

3^2 = 9

4^2 = 16

5^2= 25

6^2 = 36

7^2 = 49

6^2 =64

54- 49 = 5   and 64 - 54 = 10

So 54 is closer to 49

so sqrt(54) is closer to the sqrt(49) = 7

sqrt(54) is between 7 and 8

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find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 . ​
Dimas [21]
<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 .

7 0
2 years ago
1. In the following diagram, UW bisects XV at Y. Which of the
aev [14]

Answer:

Statement 4 is correct

Step-by-step explanation:

Here, we want to select which statement is true based on the given diagram;

The statement that must be true is that Y is the midpoint of XV

This is because, by bisection , we mean dividing into 2 equal parts

The line UW has divided the line XV into two equal parts

So this mean that Y is the midpoint of the line XV

6 0
3 years ago
Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years he'll have $100. Be
Nimfa-mama [501]

Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

First step is to determine Jerry total deposit

over the two years

Total deposit = 24×$5

Total deposit= $144

Now let determine what the correct balance will be at end of two years

Using this formula

Maximum Amount=Principal (1+r)^t

<em>Where</em>:

Principal=$144

r=4.8%/12 = 0.4% or 0.004

t=24 months

Let plug in the formula

Maximum Balance = $144 (1.004)^24

Maximum Balance  = $158.5

Based on the above calculation both Jerry $100 and Benny $163 balance are  ​eliminated or rule out because the correct balance after two years is $158.5

Inconclusion Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

Learn more here:

brainly.com/question/3658861

4 0
3 years ago
Mitch has 50 pieces of licorice. He shares them equally with his sister.
leonid [27]
50/2=L is the a expression 
7 0
3 years ago
Read 2 more answers
Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
Soloha48 [4]

Given:

The table of values.

To find:

The least-squares regression line for the data set in the table by using the desmos graphing calculator.

Solution:

The general form of least-squares regression line is:

\hat{y}=mx+b           ...(i)

Where, m is the slope and b is the y-intercept.

By using the desmos graphing calculator, we get

m\approx 2.55,b\approx -6.435

Substitute these values in (i).

\hat{y}=(2.55)x+(-6.435)

\hat{y}=2.55x-6.435

Therefore, the correct option is A.

8 0
2 years ago
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