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:
√27
Step-by-step explanation:
The triangles of the pyramid are equilateral triangles with sides of 6''.
Dividing a triangle into two equal parts we get two congruent right triangles, with a hypotenuse of 6'', one leg of 3'', and the other leg is the slant height (s). From Pythagorean theorem:
3² + s² = 6²
s² = 6² - 3²
s = √27
9514 1404 393
Answer:
30°
Step-by-step explanation:
The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:
Sin = Opposite/Hypotenuse
For a ramp 1 m high and 2 m long, we have ...
sin(x) = (1 m)/(2 m) = 1/2
x = arcsin(1/2) = 30°
The elevation angle of the ramp needs to be 30°.
5.4142 and <span>2.5858 are the numbers you need</span>
I don't know how to solve this but you can go to desmos.com and it will graph it for you.
Hope this helps make your life easier!
