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Elan Coil [88]
3 years ago
14

Square root of 38416 with steps

Mathematics
1 answer:
Fed [463]3 years ago
3 0

Answer:

196

Step-by-step

Step 1: the last number of 38,416 is 6. <u>6 is not a perfect square.</u>

Step 2: because 6 is not a perfect square, split the number up and add each digit together:

3 + 8 + 4 + 1 + 6 =<u> 22</u>

<u>2 + 2 </u>= 4

Step 3:

the digital root of 38,416 is 4.

4 is in the list of digital roots that are always perfect squares. We can conclude that 38,416 could be a perfect square!

Step 4:  find all the factors:

1 x 38,416    2 x 19,208    4 x 9,604    7 x 5,488   8 x 4,802    14 x 2,744            16 x 2,401    28 x 1,372    49 x 784     56 x 686    98 x 392     112 x 343            <em><u>196 x 196</u></em>

Underlined above is the factor combination that makes 38,416 a perfect square.  A number can only be a perfect square if the product of two exactly the same numbers is equal to the original number.

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harina [27]

Answer:

490

Step-by-step explanation:

Let us first count the handshakes between two gremlins. There are 20 gremlins, so there must be 20*19/2=190 handshakes between two gremlins, making sure to divide by two to avoid over-counting.

There are 15 imps that shake hands with each of the 20 gremlins, which makes 15* 20 = 300 handshakes between imps and gremlins.

Adding these up, you have $300 + 190 = 490 total handshakes.

Hope this helps!

3 0
3 years ago
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The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y &gt; −2x + 10 y &gt; 1 o
jarptica [38.1K]

Point B is a solution to the system of inequalities  

<h3>Further explanation  </h3>

Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates  

General formula  

\large{\boxed{\bold{y-y_1=m(x-x_1)}}

or  

y = mx + c  

Where  

m = straight-line gradient which is the slope of the line  

x1, y1 = the Cartesian coordinate that is crossed by the line  

c = constant  

The formula for a gradient (m) between 2 points    

\large{\boxed{\bold{m=\dfrac{y_2-y_1}{x_2-x_1}}}

If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:  

ax + by = c

It says inequality if there are symbol forms like <, >, ≤ or ≥  

Whereas linear inequality can have forms:  

ax + by> c, ax + by ≥ c , ax + by <c , ax + by ≤ c  

In graphical form, line inequality can be  

• dashed line because y does not include equals to  

• a solid line because y includes equal to  

For line inequality (positive coefficient y)  

ax + by ≥ c then the solution is shaded upwards  

ax + by ≤ c then the solution is shaded down  

(Picture attached)

The line :

\displaystyle y>-2x+10

intersect x-axis at point : 5,0

Intersect y-axis at point : 0,10

And the solution  is shaded upwards  

\displaystyle y=\frac{1}{2}x-2

intersect x-axis at point : 4,0

Intersect y-axis at point : 0,-2

And the solution  is shaded upwards  

And the point located in the shaded plane of the two inequality is point B and I

<h3>Learn more</h3>

Linear inequality represented by the graph

brainly.com/question/9909671

Keywords: linear inequality,graph

#LearnWithBrainly

6 0
3 years ago
I WILL GIVE 13 POINTS IF YOU SHOW YOUR WORK WITH THE ANSWER A clothing store purchased jeans from the manufacturer at a cost of
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