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wel
2 years ago
11

Find the length of an apothem of a square if the perimeter is 40.

Mathematics
1 answer:
natulia [17]2 years ago
8 0
An apothem of a square is a perpendicular from a center of a square to one of its side.
<span>
</span><span>1. Put a dot at the center of the square. (You can find the center by drawing diagonals from corner to corner. The center is where they intersect).</span>

2. <span>Draw a perpendicular line in any of the four directions to one side of the square.</span><span />

3. <span>Two apothems of a square (drawn to opposite sides) make a line that is parallel to both (left) sides of the square, a line that is of equal length. If two apothems added together are equal to the length of one side, then one apothem is half of the length.</span>
<span /><span>
</span><span>4. The square perimeter is 40 and it consists of 4 equal parts, then the length of square's side is 10.
</span><span>
</span><span>5. Then the apothem has length 5.
</span>


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A ladder is leaning against
Svetradugi [14.3K]

Answer:

25 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

15^2 + 20 ^2 = x^2

225+400= x^2

625 = x^2

Take the square root of each side

sqrt(625) = sqrt(x^2)

25 = x

5 0
2 years ago
There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities a
tester [92]

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

3 0
3 years ago
How many minutes are in m hours?
notka56 [123]

Answer:

the 2nd one (60m minutes)

Step-by-step explanation:

60 minutes in an hour, so if m is the number of hours you would times that by the number of minutes in an hour which is sixty. 60m is 60 times m

8 0
3 years ago
PLEASE HELP ASAP <br> WHAT IS THE ANSWER TO<br><br><br> 20x = 4
madam [21]

Answer:

1/5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
-5x+3y=-9 3x+7y=23 <br> Need help please HElP
Veseljchak [2.6K]

Answer:

-88x + 10y

Step-by-step explanation:

-5x+3y= -93x+7y=23

we cannot do anything to numbers with unlike signs so we will do this

23=-5x+3y=-93x+7y

now we will take the numbers with like signs to one place like this

23=-5x+93x+3y+7y

now we can solve this

- x + = -

+ x+=+

-x-=-

23= 88x+10y ANSWER

7 0
3 years ago
Read 2 more answers
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