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!
<span>The definition of a perfect cube is a number that is the result of multiplying an integer by itself three times
Hope it helps</span>
Answer:
139
Step-by-step explanation:
14+14+28+33+33+17 = 139
For this case we have the following function:
By power properties we can rewrite the function as follows:
We have then:
Then rewriting the function we have:
Answer:
an equivalent function to 
is:
Answer: 5 pounds strawberries and 5 pounds blueberries
Step-by-step explanation:
s+b=10
2s+b3=25
b=10-s
2s+3(10-s)=25
2s+30-3s=25
-s=-5
s=5
b=10-5
b=5
