Answer:
When we have 3 numbers, like:
a, b and c.
Such that:
a < b < c.
These numbers are a Pythagorean triplet if the sum of the squares of the two smaller numbers, is equal to the square of the larger number:
a^2 + b^2 = c^2
This is equivalent to the Pythagorean Theorem, where the sum of the squares of the cathetus is equal to the hypotenuse squared.
Now that we know this, we can check if the given sets are Pythagorean triples.
1) 3, 4, 5
Here we must have that:
3^2 + 4^2 = 5^2
solving the left side we get:
3^2 + 4^2 = 9 + 16 = 25
and the right side:
5^2 = 25
Then we have the same in both sides, this means that these are Pythagorean triples.
2) 8, 15, 17
We must have that:
8^2 + 15^2 = 17^2
Solving the left side we have:
8^2 + 15^2 = 64 + 225 = 289
And in the right side we have:
17^2 = 17*17 = 289
So again, we have the same result in both sides, which means that these numbers are Pythagorean triples
Formula for the volume of cone is 
Where r= radius of the cone
h = height of the cone
The value of pi is 3.14
Given volume of larger cone is 131 cm^3
Volume of larger cone =
131 = 
Solve for h
131 = 26.1667 *h
So h= 5 cm
The height of bigger cone = 5cm
Now we find the volume of smaller cone
Two cones similar so the sides are in proportional
Height of smaller cone = 2cm
volume of smaller cone = 
= 8.38cm^3
Answer:
(3,5),(3,1),(5,7)
Step-by-step explanation:
Answer:
He will be unable to tell whether a difference in exercise preference is related to a difference in age or to a difference in weight
Step-by-step explanation:
age could be a factor to exercise as well as weight so both affect the outcome so he has two samples
Answer: D
Step-by-step explanation: ITS THE ONLY ONE THAT MAKES SENSE.
