Answer:
789
Step-by-step explanation:
Angles on one side of a straight line will always add to 180°.
Answer:
11
Step-by-step explanation:
x-5 = 6
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:
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8.