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Alexus [3.1K]
3 years ago
8

Prove the Triangle Proportionality Theorem...

Mathematics
1 answer:
boyakko [2]3 years ago
4 0

Answer:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

Step-by-step explanation:

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The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi
Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} -  \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674

7 0
3 years ago
The sum of twice a number and 18 is 5 less than three times the number, Write the
topjm [15]

Step-by-step explanation:

Let x represent the number.

We have 2x + 18 = 3x - 5, therefore x = 23.

The number is 23.

8 0
3 years ago
I need HELPPP!!!! T^T
Artemon [7]
The answer is 3 square units
8 0
3 years ago
For each of these triples, find if they could be the lengths of the sides of a right triangle.
frutty [35]
A is the correct answer
7 0
4 years ago
A bicycle store costs ​$2250 per month to operate. The store pays an average of ​$40 per bike. The average selling price of each
lesantik [10]

Answer:

75

Step-by-step explanation:

Given That :

Operation cost = $2250 per month

Purchase price per bike = $40

Average selling price per bike = $70

How many bicycles must the store sell each month to break even ;

Break even point = point at which there is net profit / loss = 0

Let number of bicycles store must sell = x

Operation cost + (purchase price * Number of bicycles) = selling price * Number of bicycles

2250 + 40x = 70x

2250 = 70x - 40x

2250 = 30x

x = 2250 / 30

x = 75

To break even 75 bicycles must be sold

5 0
3 years ago
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