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Mathematics

1 answer:

Triss [41]2 years ago

4 0

9514 1404 393

Answer:

∠B = ∠C = 138°

∠D = 42°

Step-by-step explanation:

Angles between the parallel bases are supplementary:

∠B = 180° -∠A = 180° -42° = 138°

Right-side angles are the same measure as their mirrors across the line of symmetry.

∠C = ∠B = 138°

∠D = ∠A = 42°

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zimovet [89]

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7 0

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The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model

Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$ in 1990.