The Pythagorean theorem is sometimes known as Pythagoras' theorem. The speed of the faster person is 40 kmph.
<h3>What is Pythagoras' theorem?</h3>
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Let the speed of one person be represented by x, then the speed of the other person, if the speed of the second person is 75% of the first.
- Speed of first-person = x
- Speed of second-person = 75% of Speed of first-person = 0.75x
Now, the distance covered by two persons in 2 hours is,
- Distance covered by the first-person = x × 2 = 2x
- Distance covered by the second-person = 0.75x × 2 = 1.5x
Since one person runs towards the south and another towards the east. Therefore, will form a 90° angle between their directions.
Now, the distance between the two after two hours is 100 km, therefore, we can write,
(2x)² + (1.5x)² = 100²
4x² + 2.25x² = 10000
6.25x² = 10000
x² = 10000/6.25
x² = 1600
x = √1600
x = 40
Hence, the speed of the faster person is 40 kmph.
Learn more about Pythagoras' Theorem here:
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You first multiply 6 and 8 to see how many people are put in the vans without rented a van. This would equal 48. You then subtract 48 from 59 to see how many people still need to be in a van. This would leave you with 11 people. Then you divide 8 from 11 to get 1 3/8. This means you need 2 vans to fit everyone.
Answer:
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Step-by-step explanation:
1. If you have 1 first then... 1,2,3,4 - 1,3,2,4 - 1,2,4,3 - 1,3,4,2 - 1,4,3,2 - 1,4,2,3
2. If you have 2 first the.... 2,1,3,4,- 2,1,4,3 - 2,3,1,4 - 2,3,4,1 - 2,4,3,1- 2,4,1,3
3. And so one with 3,4
Hope this helps:)
What is x
First you use distributive property
60x+70=26
Next subtract 70 on both sides which gives you -44
60x=-44
Then you divide 60 into -44 which will give you -1.36__36 is repeathing
so X=-1.36 repeading