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Answer:
The final volume is 320 mL at pressure of 100 kPa.
Step-by-step explanation:
Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,
Let
We need to find 
. Using above equation, we get :
So, the final volume is 320 mL at pressure of 100 kPa.
For the first triangle, I believe the given angles are 85 and 53. If I am incorrect, please let me know and I'll resolve it.
The answer for 1 would be 42.
2nd triangle- 69 is the missing angle measurement.
3rd- 64 degrees.
4th- 53
The reasoning behind all of these: The total of all three interior angles should be 180 degrees. So when you add the two GIVEN angles, and subtract that from 180, this answer is your missing angle.
(Also, for any other site or anything, it might be best to block out your name)
There are two triangles: a small one to the left and a big one, which includes the small one. They both have a common angle (the leftmost angle) and since (we can assume) the two columns meet the floor at right angles, they both have two equal angles. This means they are similar (AAA).
Let the distance of the base of the stairs to the tallest column be d.
Because matching sides of similar triangles are in the same ratio,
4 / 6 = d / (6 + 12)
4 / 6 = d / 18
(4 * 18) / 6 = d
d = 12
The answer is C
