Step-by-step explanation:
volume of a cylinder is
ground area × height = pi×r²×h
r = 4
what we need to calculate is how high the water stands with one "serving" of 2m³.
that height is then added every minute (with the additional 2m³ during that minute).
so,
2 = pi×4²×h = pi×16×h
2/16 = 1/8 = pi×h
h = (1/8) / pi = 1/(8pi) = 0.039788736... m
that is rounded about 0.04 m or 4 cm.
therefore, the water rises by 0.04 m or 4 cm per minute
0.04m/min
Exact form:
22/13
Mixed number:
1 9/13
Given:
There are given that the cos function:

Explanation:
To find the value, first, we need to use the half-angle formula:
So,
From the half-angle formula:

Then,
Since 105 degrees is the 2nd quadrant so cosine is negative
Then,
By the formula:

Then,
Put the value of cos210 degrees into the above function:
So,

Final answer:
Hence, the value of the cos(105) is shown below: