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yulyashka [42]
4 years ago
11

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Please please help!!!!!!!

Mathematics
2 answers:
Damm [24]4 years ago
7 0
The answer is 12.

Using the Pythagorean Theorem, with side a being 30 and side b being 16, you get 34 as side c.

So since side c is the distance from the School to the Library, we know that Henry walked 34 miles.

Now since Mike walked from the School to the mall and then the mall to the library, we know that he walked 46 miles.

Now by subtracting them, you can conclude that Mike walked 12 more miles than Henry

I hope this helps. If it does, please mark it as Brainliest
Elis [28]4 years ago
3 0
There is a total distance of 30 miles from the library to the mall. 
There is a total distance of 16 miles from the mall to the school.

These two distances will represent sides of a triangle. We'll use the Pythagorean theorem to find the distance from the library to the school:

16^{2} + 30^{2} = c^{2}

256 + 900 = c^{2}

1156 = c^{2}

Square root both sides to find the missing distance:

\sqrt{1156} = 34

c = 34

The total distance from the library to the school is 34.

Henry went from the library to the school for a total distance of 34 miles traveled.
Mike traveled from the school to the mall, then the mall to the library. He traveled 16 miles, then traveled 30 miles, for a total distance of 46 miles traveled.

Subtract the smaller amount from the bigger amount:

46 - 34 = 12

Mike traveled 12 more miles than Henry.
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URGENT!! Please answer this! (In your own words) The best answer gets BRAINLIEST!
Fantom [35]

Answer:

The area is 97.5.

Step-by-step explanation:

The formula for finding the area of a rectangle is Length x Width.

At the bottom it says 5 ft and 10 ft. 10 + 5 = 15, therefore the length is 15.

On the right it says 12 ft, therefore the width is 12 ft.

Since the formula is Length x Width, I did 15 x 12, I attached a file below showing the multiplication process.

15 x 12 = 180.

Therefore, the area of the rectangle is 180.

But, from what it appears from the picture, it's only the shaded area needed.

So, the unshaded areas needed to be subtracted from the rectangle.  

Starting with the triangle on the right, the area for a triangle is the base times the height divided by 2, 10 is the base and 12 is the height. 10 x 12 / 2 = 60, multiplication shown below.

The two sides are the same length, making the height for the other side 12 as well.

According to the rectangle, 3 feet does not belong there.

12 - 3 = 9 ft.

Now, the base is 5 ft and the height is 9 ft.

The formula is base x height divided by 2.

5 x 9 / 2 = 22.5, multiplication shown below.

Now, I had known that the 2 shaded areas were 22.5 and 60.

So, I did 180 - 60 - 22.5 = 97.5

Therefore, the area for the shaded part of the rectangle is 97.5.

I sincerely hope this helped! Have a great day, and good luck! :) :)

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3 years ago
Solve the following systems of linear equations using any algebraic method. If possible, check your solution.
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5 0
3 years ago
The dot plot represents a sampling of ACT scores:
Troyanec [42]

The data from a dot plot can be analyzed to find the five number summary, from which a box plot can be constructed

The correct option for the details of the box plot that represents the dot plot data is;

<em>Box plot </em><em>titled ACT Score with a minimum of </em><em>18</em><em>, quartile 1 of </em><em>21</em><em>, median of </em><em>22</em><em>, quartile 3 of </em><em>23</em><em>, and maximum of </em><em>25</em>

The process of deriving the five number summary of the box plot above is as follows;

Known:

The data from the dot plot can be expressed in increasing order for analysis of a box plot as follows;

18, 19, 19, 19, 21, 21, 21, 21, <u>22, 22</u>, 22,22, 23, 23, 23, 24, 24, 25

The number of data points in the statistics, n = 18

Unknown:

The five number summary

Method:

Finding the five number summary as follows;

The minimum value = 18

The maximum value = 25

  • The first quartile, inclusive of the median Q₁ = The middle number of the lower half {18, 19, 19, 19, 21, 21, 21, 21, <u>22}</u> = The (9 + 1)/2 th term

∴ Quartile 1 = Q₁ = 5th term = 21

  • The second quartile, Q₂ = The median (the middle number) = (22 + 22)/2 = 22 = Quartile 2

Quartile 2 = 22

  • The third quartile = The middle number of the upper half {<u>22</u>, 22,22, 23, 23, 23, 24, 24, 25} = Quartile 3 = 23

Quartile 3 = 23

Combining the above 5 number summary, the correct option for the box plot representing the dot plot data, is therefore;

Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25

Learn more about box and whiskers, and dot plots here;

brainly.com/question/4002977

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