Answer:
x = 36.87 degrees.
Step-by-step explanation:
4 cos x + 3 sin x = 5
Use the Auxiliary angle method:
R sin (α + x) = R sin α cos x + R cos α sin x
Comparing coefficients:
R sin α = 4 and R cos α = 3
R sin α / R cos α = 4/3
So tan α = 4/3
α = 53,13 degrees.
Now R^2(sin^2 α + cos^2 α ) = 3^2 + 4^2 = 25
R^2 = 25
R = 5.
R sin (x + 53.13) = 5
5 sin ( x + 53.13) = 5
sin (x + 53.13) = 1
x + 53.13 = 90
x = 36.87 degrees.
Answer: 9 eggs
Step-by-step explanation: 13-4=9
C. 24
This is because 20 divided by 5 is 4. Next, you multiply 6 and 4 to get 24. 24 is the answer.
Answer:
I'm not quite sure what you are asking but I think the pattern would lead to -3 being your answer.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Total number of marbles = 54
All marbles are red and blue
Fraction of blue = 1/3
Hence,
Number of Blue = 1/3 * 54 = 18
Hence,
Number of red = 54 - 18 = 36
Ratio of blue to total ;
18 : 54 = 1 : 3
Ratio of Red to total;
36 :54 = 2 : 3
Ratio of Red to blue :
36 : 18 = 2 : 1
Number of red = 36