Answer:
4/3
Step-by-step explanation:
Answer for number 6:
Sin A = √(1-cos²A)= √[1-(4/5)²]= 3/5
(note: The root covers the whole expression)
now,
Cot A= Cos A / Sin A= (4/5)/(3/5)= 4/3
Answer:
63
Step-by-step explanation:
Answer:

Step-by-step explanation:
step 1
Calculate the volume of the cylinder (flower vase)
The volume is equal to

we have
-----> the radius is half the diameter

substitute the values
------> exact value
step 2
Calculate 2/3 of the volume

All you need to do is plug 19 in for x and solve.
f(19) = 3/(19+2) - sqrt(19-3) = 1/7 - sqrt(16)= 1/7 - 4
The answer is -3.8571 or as a fraction -27/7
Given:
Population of a colony in 2000 = 250
Population of a colony in 2004 = 400
To find:
The average rate of change.
Solution:
Let y be the population of the colony at x year.
The population of a colony grows from 250 in the year 2000 to 400 in the year 2004. So, the two points are (2000,250) and (2004,400).
Formula for slope or average rate of change is




Therefore, the average rate of change of population is 37.5.