Answer:
6. Not similar
7, Are similar
Step-by-step explanation:
In problem 6 one triangle is a SSA situation and the other triangle is SAS, we cannot say the triangles are similar.
In problem 7, both triangles are a SAS situation, so we need to see if corresponding sides are in proportion.
Is 10/25 = 18/45?
10/25 = .4 and 18/45 = .4
Therefore, the triangles are similar
Coplanor lines that never intersect
Http://www.jiskha.com/display.cgi?id=1412206557 here this should help
The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
Answer:
29.6
Step-by-step explanation:
20% = 0.20
0.20 * 148 = 29.6
