3 years ago

A triangle has sides with lengths of 5 millimeters, 8 millimeters, and 10 millimeters. Is it a right triangle?

Mathematics

1 answer:

Crank3 years ago

4 0

Answer:

It is not.

Step-by-step explanation:

Using the Pythagorean Theorem, a squared + b squared = c squared, we get 25 + 64 = 100, and this is not true.

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what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Dmitrij [34]

Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

$\frac{99}{2} (2x+98)=p^3 \\ \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}$

By substitution, we have that $p=33$ and $x=314$ .

Therefore, the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.

3 0

3 years ago

Jillian measured the distance around a small fish pond as 27 yards. Which would be a good estimate for the distance across the p

Anton [14]

14 because it is half of the width around the pond.

8 0

3 years ago

I need help understanding how to get the answer.

const2013 [10]

Answer:

-157.87

Step-by-step explanation: