Proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction. I googled this so it may not be correct
Answer:
14 miles
Step-by-step explanation:
Assuming each horse was only ridden once
then a total of 13 horses were ridden for a total of 182 miles
182 miles
/ 13 horses = 14 miles horse
Of course, if each horse was ridden more than once before being replaced the distance between replacements could be reduced.
Note that the fact that there were 3 riders is irrelevant.
Answer:
Part 1:
Yes, the side lengths form a right triangle.
Part 2:
Option d 37.1 cm
Explanation:
We need to use the pythagorean theorem.
In part 1, if the 3 side lengths are a right triangle, then, they must verify:

By the theorem. Then:

They're equal, then the lengths correspond to a right triangle.
For part 2, we need to use again the theorem. In this case:
Answer:

Step-by-step explanation:
we know that
The volume of a trough is equal to

where
B is the area of equilateral triangle
L is the length of a trough
step 1
Find the area of equilateral triangle B
The area of a equilateral triangle applying the law of sines is equal to

where


substitute


step 2
Find the volume of a trough

we have


substitute

