4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!
Answer:
Step-by-step explanation:
Area of a circle = 
However, the question wants to use 3.14 instead of 
.
Since the radius is given, which is 18 feet, we can plug and chug.
However, the question wants us to round it to the nearest tenth.
Therefore, the answer is
The answer should be summer and fall, if that’s not it then it is winter and spring.
Answer:
x=16
Step-by-step explanation:
First, since a and b are parallel, infer that 4x and 60 can be added together to reach 124 (4x+60=124). Then, solve the equation.
4x+60=124
subtract 60 from both sides
4x=64
divide by four
x=16
