True or false? in order to inscribe a circle in a triangle, the circle's center must be placed at the circumcenter of the triang
le
1 answer:
Answer:
<h2>False.</h2>Step-by-step explanation:
A inscribe circle in a triangle means to draw the biggest circle possible inside such triangle. To do that perfectly, we first have to find the incenter of the circle, which is the intersection of all three internal bisector of the triangle, that point is the center of the inscribed circle.
Therefore, the statement is false.
In addition, a circumcenter allow to perfectly draw a circumscribed circle, which is outside the triangle, which is not the case here.
An image showing the inscribed circle is attached.
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Answer:
After 25 years the population will be:
- Australia: 22271200
- China: 1580220878
- Mexico: 157380127
- Zaire: 112794819
Step-by-step explanation:
Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:
P(t) = P₀eʳᵗ
- t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.
- P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.
- P₀ is the initial population at P(0)
- r is the growth rate.<u><em> Don't forget to convert the percentage to its decimal form</em></u>
Now that everything is set out, lets use the equation to solve for our answer.
P(t) = P₀eʳᵗ
<u>Australia:</u>
after 25 years
<u>China:</u>
after 25 years:
<u>Mexico:</u>
after 25 years:
<u>Zaire:</u>
after 25 years: