Answer:
The water in the tank filled to capacity lasts 20 days.
Step-by-step explanation:
Total number of students in the hostel = 300
The average need of water per day = 36,000 L
The dimensions of the tank = 10 m × 8 m × 9 m
Now, the capacity of the tank = LENGTH X WIGHT X HEIGHT
= 10 m × 8 m × 9 m = 720 cubic meters
Now, 
⇒
So, the capacity of the tank = 720,000 L
and the average usage of water by 300 students = 
⇒
or, number of days = 20
Hence, the water in the tank filled to capacity lasts 20 days.
Answer:
In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2.
Step-by-step explanation:
The account decreased by
7,400×0.265=1,961
The account at the end of the year
7,400−1,961=5,439
Try to imagine this word problem, there is a wall and a ladder leaning against it, the space from the bottom of the ladder is labeled 6 and the length of the height the ladder reaches on the wall is 8. Imagine this as a right triangle now, where the length of the ladder is the hypotenuse and the length of the legs of the triangle is 6 and 8. Because we know this, we can use the Pythagorean theorem, a^2+b^2=c^2
We then plug in the values and you get 6^2+8^2=c^2
When you simplify, you get 36+64=c^2 which is c^2=100
When you solve for c, you get c=10 which would be the length of the ladder :)
