Answer:
17 minutes i had this same answer and question 2day, so ur lucky.
Step-by-step explanation:
The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 mins. Is that it? No. That would make this question too simple even as a warm up question.
To reduce the amount of time, we should find a way for 10 and 7 to go together. If they cross together, then we need one of them to come back to get the others. That would not be ideal. How do we get around that? Maybe we can have 1 waiting on the other side to bring the torch back. Ahaa, we are getting closer. The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let's put all this together.
1 and 2 go cross
2 comes back
7 and 10 go across
1 comes back
1 and 2 go across (done)
Total time = 2 + 2 + 10 + 1 + 2 = 17 mins
Answer:
see explanation
Step-by-step explanation:
If the triangle is right then the square of the longest side (hypotenuse) will equal the sum of the squares of the other 2 sides.
longest side is x² + 1, then
(x² + 1)² =
+ 2x² + 1
The sum of the square of the other 2 sides
(x² - 1)² + (2x)²
=
- 2x² + 1 + 4x² =
+ 2x² + 1
Hence triangle is right
Answer:
Step-by-step explanation:
<u>First, the side lengths should be greater than zero:</u>
Second, The triangles have a common side and the given sides are opposite of 27° and 37° angles.
<u>This tells us the side opposite of greater angle is greater:</u>
<u>Simplify each inequality:</u>
- 3x - 5 > 0 ⇒ 3x > 5 ⇒ x > 5/3
- 2x + 3 > 0 ⇒ 2x > - 3 ⇒ x > - 3/2
- 2x + 3 > 3x - 5 ⇒ 3x - 2x < 3 + 5 ⇒ x < 8
<u>Common solution is:</u>