Answer
Find out the how much fertilizer will Timothy need for two fields, one that is 22.5 acres and one that is 38.25 acres .
To proof
As given
Timothy is putting fertilizer on a field after planting some crops
The directions on the barrel state to use 0.75 quarts for each acre of land.
fertilizer will Timothy need for 22.5 acres = 22.5 × 0.75
= 16.875 quarts
fertilizer will Timothy need for 38.25 acres = 38.25×0.75
= 28.6875 quarts
total fetilizer Timothy need for two fields = 16.875 + 28.6875
= 45.5625
= 45.6 ( approx )quarts
Therefore the total fertilizer will Timothy need for two fields be 45.6 ( approx )quarts .
Hence proved
The half-angle formula for tangent is:
tan(a/2) = (sin a / (1 + cos a)) = ((1 - cos a) / sin a)
Now we can plug in values:
tan(5π/8) = (sin(5π/4) / (1 + cos(5π/4)) = ((1 - cos(5π/4)) / sin(5π/4)
tan(5π/8) = (-√2/2) / (1 + (-√2/2)) = (1 - (-√2/2)) / (-√2/2)
tan(5π/8) = ((-√2/2)) / ((2 - √2)/2) = ((2 + √2)/2) / (-√2/2)
Now we can solve the first half:
(-√2/2)(2 / (2 - √2))
(-√2/2)((4 + 2√2) / 2)
(-√2/2)(2 + √2)
(-2√2 - 2)/2
-√2 - 1
tan(5pi/8) = -√2 - 1
Answer:
Alice reaches 11 metres below the centre as lowest height.
Step-by-step explanation:
Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:
Where:
- Time, measured in seconds.
- Height with respect to centre, measured in metres.
If 
, then:
Alice reaches 11 metres below the centre as lowest height.
