Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) =
[Since, sin(a) =
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
= 
Therefore, cos(a + b) = 
Answer:
The rate of decrease is 8%
Step-by-step explanation:
we know that
The general equation for the radioactive decay can be written as:

where
a is the amount in kilograms after time t.
a_0 is the original amount of the substance or y-intercept of the function
r is the decay rate, written in decimals.
t is the time
In this problem we have

so

solve for r

Convert to percentage

Answer:
11 pt
Step-by-step explanation:
There are 2 pints in one quart. This means that there are 10 pints in 5 quarts, plus 1 would be 11.
Answer:
Juan still has $13.00 left after spending $7.00 as a percentage that is 35% and as a fraction that is 35/100 or 0.35.
Step-by-step explanation:
I hope I helped in any way.
D. asymptote
In the attached graph, the function has two asymptotes, one horizontal (the x-axis) and one vertical (the line x = 2).