Their mother measures their shadows.Dixon's shadow is 9 feet long and Ariadne's shadow is feet long. If Dixon is 6 feet tall, ho
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As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.
Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:
million people
To find the population of Italy in 2008 (t = 18 years)
substitute t = 18 in the equation and have:
million people
To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30
t = 25
million people
t = 30
million people
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
To start, we can multiply the fraction by (1 - sin(θ)). This yields:
Simplify. The denominator uses the difference of two squares pattern:
Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:
Split into two separate fractions:
Rewrite the two fractions:
By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:
Hence verified.