9514 1404 393
Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
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<em>Additional comment</em>
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
Answer:
She can run 58.5 yards in 9 seconds.
Step-by-step explanation:
39/6=x/9
cross product
6*x=39*9
6x=351
x=351/6
x=58.5
80 40 20 10 5
Step-by-step explanation: Divide 20 by 40 then 40 by 80 They all are divisible by .5so then times .5 to get the next terms
Answer:
50%
Step-by-step explanation:
29 right and 29 wrong. 29+29=58
Divide 29 by 58 and you get .5
Move the decimal over two to the right, and there’s the 50%.
You could also multiply .5 by 100 and you’ll still get 50!
