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Mars2501 [29]
2 years ago
12

A walkway goes through the middle of a square playground from one corner to the opposite corner. If the walkway is 20 meters lon

g, how long are each of the sides of the playground? Round your answer to the nearest hundredths.
Need Help!

Mathematics
1 answer:
Dahasolnce [82]2 years ago
7 0
I think you would use the Pythagorean Theorem to solve this, as a square cut across diagonally creates two isocele triangles. Since the longest side is 20 m, this value would be imputed into c^2.

a^2 + b^2 = c^2
a^2 + a^2 = 20^2
2a^2 = 400
2a^2/2 = 400/2
a^2 = 200
a = 14.14

Thus, each sides of the playground are 14.14 meters long.

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A dog sits at a corner of a square with side length 44 meters. the dog runs 10 meters along a diagonal toward the opposite corne
wlad13 [49]

Refer to the figure given below while reading the solution.

Suppose the dog reaches position A when traveled 10 m diagonally towards the opposite side.

And then position B when traveled 5 m towards the right turning 90°.

We can observe that APC is a right triangle with legs of equal length AC. And the coordinates of the point A is (AC, AC).

Also we can observe that APB is a right triangle with legs of equal length AD. Then the coordinates of the point D is (AC, AC-AD).
Hence, the coordinates of B will be (AC+AD, AC-AD).

Now, we since we have the coordinates we can calculate the shortest distances of B from each of the sides.

  1. The shortest distance of B from PQ = AC-AD
  2. The shortest distance of B from SR = 44-(AC-AD)
  3. The shortest distance of B from SP = AC+AD
  4. The shortest distance of B from RQ = 44-(AC+AD)

So, the average of the shortest distances of B from each side is \frac{(AC-AD)+44-(AC-AD)+(AC+AD)+44-(AC+AD)}{4}=\frac{44+44}{4}=22

Hence, the average of the shortest distance of B from each side is 22 m

Learn more about average here-

brainly.com/question/24057012

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7 0
1 year ago
SOMEONE ANSWER THIS QUICK!!
7nadin3 [17]

Answer:

a= 9,15 b= 10,4

Step-by-step explanation:

5 0
3 years ago
Does anyone know the answer?
Kazeer [188]
The answer is c. When the added number is outside of the radical it adds to the y, moving it up
4 0
3 years ago
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A box of cereal states that there are 75 calories in a 34-cup serving. What is the unit rate for calories per cup? How many calo
xeze [42]
The unit rate is how many calories are in 1 cup of cereal.
Set up a proportion:
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Cross multiply and solve:
\frac{3}{4} X = 75\\ 3X=300\\X=100
There are 100 calories per cup of cereal.

To get the calories in 4 cups of cereal, simply multiply the unit rate of 100cals/cup by 4.
100*4=400
There are 400 calories in 4 cups of cereal.
8 0
3 years ago
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Together a chair, a table, and a lamp cost $572. The chair costs 4 times as much as the lamp, and the table costs $23 less than
Jet001 [13]
Chair=4x
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x=585/9
x=65
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6 0
3 years ago
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