Step-by-step explanation:
First of all we need to know the formula for the circumference which is: 
We don't have the radius. What we only have is the area; therefore, we must use the area formula and extract the radius from it.
The formula for the area is: 
Solve for r;
![r^2=\frac{A}{\pi}\\ r=\sqrt[]{\frac{A}{\pi} }](https://tex.z-dn.net/?f=r%5E2%3D%5Cfrac%7BA%7D%7B%5Cpi%7D%5C%5C%20r%3D%5Csqrt%5B%5D%7B%5Cfrac%7BA%7D%7B%5Cpi%7D%20%7D)
![r=\sqrt[]{\frac{50.24inch^2}{3.14} }](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B%5D%7B%5Cfrac%7B50.24inch%5E2%7D%7B3.14%7D%20%7D)
![r=\sqrt[]{16inch^2}\\ r=4inch](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B%5D%7B16inch%5E2%7D%5C%5C%20r%3D4inch)
Now that we've found the radius, we simply plug it into the circumference formula.
Answer:
y = -2
Step-by-step explanation:
y = -5x + 13
x = 3
y = -5(3) + 13
y = -15 + 13
y = -2
Answer:
B.) -3
Step-by-step explanation:
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!
The Correct answer is
(n)(4) = (7)(8)
4n = 56
n = 14
