A.) when there are 24 boys, there are 36 girls.
b.) If there are 80 students, there are.... 48 girls.
c.) If there are 75 students...... there are 15 more girls than boys.
Let me know if you need me to show you how I got this.
I don't think so.
The Angle-Angle Similarity postulate says <span>that two triangles are similar
if they have two corresponding angles that are equal in measure ... two
angles in one triangle equal to two angles in the OTHER triangle.
Every isosceles triangle has two angles that are equal to each other.
But that doesn't tell you how those angles compare to the angles of a
DIFFERENT isosceles triangle.
If you pick two isosceles triangles, there's practically a zero chance
that the two equal angles in one triangle have the same measure as
the two equal angles in the other triangle. So the </span><span>Angle-Angle Similarity
Postulate doesn't apply to them.</span>
Exponential Growth
Some real-life events grow in such a way that they can be modeled as an exponential function, given as:
Where C(t) is the future value of the measured variable, Co is its initial value, r is the growth rate and t is the time.
We are given the following data:
Initial amount: Co=40 bacteria
Growth rate: 1 + r = 3
The bacteria triples every 4 days, thus t is the number of periods of 4 days.
Thus the model is:
We can solve the equation
1 + r = 3
And get r = 2. Rewriting the equation:
We are required to find the number of bacteria after 20 days, that is, after 20/4 = 5 periods of 4 days. Substituting:
Calculating:
The colony would have 9,720 bacteria after 20 days