Answer:

Step-by-step explanation:
For any angle
, we have that:

Quadrant:
means that
is in the first quadrant. This means that both the sine and the cosine have positive values.
Find the cosine:







Since the angle is in the first quadrant, the cosine is positive.

Answer:
c=26
Step-by-step explanation:
So you would use the formula a^2+b^2=c^2
10^2+24^2=c^2
100+576=c^2
C^2=676
c=26
Step-by-stm represents the number of months
Mike's: 30m
All-Day: 80 + 22m
30m = 80 + 22m and im pretty sure the answer is 102
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is

where, (h,k) is center and r is the radius.


Now, put x=2.




Taking square root on both sides.




So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
Answer:
First number = 60 and another number = 48
Step-by-step explanation:
Let two numbers are 5x and 4x.
The two number are differ by 12. We need to find the numbers.
ATQ,
5x-4x = 12
x = 12
Now first number = 5x
= 5(12)
= 60
Other number = 4x
= 4(12)
= 48
Hence, the numbers are 60 and 48.