Answer:
Part 1. 0.9259 % per year
Part 2. P = 281.4e^(0.009 259t); 338.6 million
Step-by-step explanation:
Data:
P₀ = 281.4 million
P = 308.7 million
Part 1. Growth rate
t = 2010 - 2000 = 10 yr
P = P₀e^(rt)
308.7 = 281.4e^(10r)
e^(10r) = 1.0970
10r = ln1.0970
r = (ln1.0970)/10 = (0.092 59)/10 = 0.009 259
r = 0.9259 % per year
The 10-year continuous growth rate is 0.9259 % per year.
Part 2. Population model
The population model is
P = 281.4e^(0.009 259t)
where P is in millions and t is the number of years since 2000.
By 2020,
P = 281.4e^(0.009 259 × 20) = 281.4e^0.1852 = 281.4 × 1.203
P = 338.6 million
The estimated population in 2020 is 338.6 million.
The ratio of the length of each side of the triangle to that of the hexagon is
<h3>What is equilateral triangle?</h3>
The triangle which has all the three sides equal in dimension is called the equilateral triangle.
According to the question,
Area of triangle = Area of rhombus = Area of hexagon
1/2 base x height = 1/2 diagonal1 xdiagonal2 = (3√3 / 2) side²
The triangle has equal base and height = a.
The hexagon has each side measuring b.
1/2 a² = (3√3 / 2) b²
Ratio of sides of triangle and hexagon is
a²/b² = 3√3
a/b = √ 5.19615
a/b = 2.2795
Thus, the ratio of each side of the triangle to that of the hexagon is 2.2795.
Learn more about equilateral triangle.
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Answer:
Step-by-step explanation:
We know that tan(x) is defined as sin(x)/cos(x):
1/0 is undefined as 0 is in the denominator
Answer:
attach a picture
Step-by-step explanation:
The answer is c. A right triangle is one where a^2 + b^2 = c^2, where c is the longest side.
