Answer: B.
Using trigonometric ratios, we know that:
tan x = opp/adj
Plug in the values.
tan A = 20/48
The side opposite to angle A is 20, and the adjacent side is 48.
Simplify the fraction.
tan A = 5/12
Answer:
200 stamps
Step-by-step explanation:
Divide the 90 stamps by 45: The result is 2; it's equal to 1% of the total number of stamps. You then multiply it by 100 to get the full amount, which is 200 stamps.
Answer:
(35x+56)-6
Step-by-step explanation:
distrubuting
Answer:
1 cup of flour(x)=16 cookies(y)
Step-by-step explanation:
3 cups of flour=48 cookies
3/3=48/3
1 cup of flour=16 cookies
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.
